Faculty Profiles - IKEMATSU YASUHIKO

Information

写真a

IKEMATSU YASUHIKO

Organization

Institute of Mathematics for Industry Laboratory of Mathematical Design for Advanced Cryptography Associate Professor
School of Sciences Department of Mathematics（Concurrent）
Graduate School of Mathematics Department of Mathematics（Concurrent）
Joint Graduate School of Mathematics for Innovation （Concurrent）
School of Engineering Department of Electrical Engineering and Computer Science（Concurrent）

Contact information

Profile

量子計算機でも解読困難とされる耐量子計算機暗号の開発について研究しています。特に、そのようなものの中で、多変数二次連立方程式の求解困難性に基いて構成される多変数多項式暗号に興味があります。有力な耐量子計算機暗号の候補とされていますが、公開鍵サイズが大きいことや、グレブナー基底を用いた解析が不十分であるなどの問題があり、それらの解決を目指し、研究を行なっています。

Homepage

https://sites.google.com/site/ikematsuhp/

External link

Research Areas

Informatics / Information security

Degree

Doctor of Mathematical Science

Research History

The University of Tokyo 大学院情報理工学系研究科 Academic Researcher

2018.4 - 2018.12

Education

Kyushu University 理学部数学科

2004.4 - 2008.3

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Country：Japan

Research Interests・Research Keywords

Research theme： Cryptography, Multivariate Public Key Cryptosystem

Keyword： Cryptography, Multivariate Public Key Cryptosystem

Research period： 2016.4

Awards

APKC 2024 Best Paper Award

2024.7 the 11th ACM Workshop on ASIA Public-Key Cryptography Revisiting the security analysis of SNOVA

Yasuhiko Ikematsu, Rika Akiyama

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Award type：Award from international society, conference, symposium, etc.
2023年WISA2023 Best Paper Award

2023.8 WISA2023 A security analysis on MQ-Sign
2023年IWSEC2023 Best Student Paper Award

2023.8 IWSEC2023 A New Security Analysis Against MAYO and QR-UOV Using Rectangular MinRank Attack
辻井重男セキュリティ論文賞特別賞

2022.10 日本セキュリティ・マネジメント学会 A New Variant of Unbalanced Oil and Vinegar Using Quotient Ring: QR-UOV
2019年度 Journal of Information Processing Outstanding Paper Award

2020.4 情報処理学会 Chosen Message Attack on Multivariate Signature ELSA at Asiacrypt 2017
Journal of Information Processing, Specially Selected Paper

2019.10 情報処理学会 Chosen Message Attack on Multivariate Signature ELSA at Asiacrypt 2017
IWSEC2018 BEST PAPER AWARD

2018.9 電子情報通信学会

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Papers

Recent Progress in the Security Evaluation of Multivariate Public-Key Cryptography Invited Reviewed International journal

Yasuhiko Ikematsu, @Shuhei Nakamura, @Tsuyoshi Takagi

IET Information Security 2022.9

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Language：English Publishing type：Research paper (scientific journal)

Repository Public URL： https://hdl.handle.net/2324/7178624
Security Analysis via Algebraic Attack Against "A New Encryption Scheme for Multivariate Quadratic System" Reviewed International journal

Yasuhiko Ikematsu, @Shuhei Nakamura

Proceedings of the Seventh International Conference on Mathematics and Computing 1412 9 - 21 2022.3

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Language：English Publishing type：Research paper (international conference proceedings)
A New Variant of Unbalanced Oil and Vinegar Using Quotient Ring: QR-UOV Reviewed International journal

@Hiroki Furue, Yasuhiko Ikematsu, @Yutaro Kiyomura, @Tsuyoshi Takagi

Lecture Notes in Computer Science 13093 187 - 217 2021.12

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Language：English Publishing type：Research paper (international conference proceedings)

Repository Public URL： https://hdl.handle.net/2324/7178625
Hybrid meet-in-the-middle-attacks for the isogeny path-finding problem Reviewed International journal

Yasuhiko Ikematsu, Ryoya Fukasaku, @Momonari Kudo, Masaya Yasuda, @Katsuyuki Takashima, @Kazuhiro Yokoyama

Proceedings of the 7th ACM Workshop on ASIA Public-Key Cryptography 2020.10

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Language：English Publishing type：Research paper (international conference proceedings)
Local theta lift for p-adic unitary dual pairs U(2)×U(1) and U(2)×U(3) Reviewed International journal

Yasuhiko Ikematsu

Kyoto Journal of Mathematics Vol. 59 ( No. 4 ) 1075 - 1110 2019.12

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Language：English Publishing type：Research paper (scientific journal)

Repository Public URL： https://hdl.handle.net/2324/7178623
Efficient decryption algorithms for extension field cancellation type encryption schemes International journal

Yacheng Wang, Yasuhiko Ikematsu, Dung Hoang Duong, Tsuyoshi Takagi

23rd Australasian Conference on Information Security and Privacy, ACISP 2018 Information Security and Privacy - 23rd Australasian Conference, ACISP 2018, Proceedings 487 - 501 2018.6

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Language：English Publishing type：Research paper (international conference proceedings)

DOI： 10.1007/978-3-319-93638-3_28
HFERP - A new multivariate encryption scheme International journal

Yasuhiko Ikematsu, Ray Perlner, Daniel Smith-Tone, Tsuyoshi Takagi, Jeremy Vates

9th International Conference on Post-Quantum Cryptography, PQCrypto 2018 Post-Quantum Cryptography - 9th International Conference, PQCrypto 2018, Proceedings 396 - 416 2018.4

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Language：English Publishing type：Research paper (international conference proceedings)

DOI： 10.1007/978-3-319-79063-3_19
An efficient key generation of ZHFE public key cryptosystem Reviewed International journal

Yasuhiko Ikematsu, Dung Hoang Duong, Albrecht Petzoldt, Tsuyoshi Takagi

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E101A ( 1 ) 29 - 38 2018.1

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Language：English Publishing type：Research paper (scientific journal)

DOI： 10.1587/transfun.E101.A.29
Revisiting the Efficient Key Generation of ZHFE Reviewed International journal

Yasuhiko Ikematsu, Dung H. Duong, Albrecht Petzoldt, Tsuyoshi Takagi

Proceedings of the International Conference on Codes, Cryptology, and Information Security 195 - 212 2017.3

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Language：Japanese Publishing type：Research paper (international conference proceedings)
Parameterizing Time-Memory Trade-off for Flexible Implementation of CRYSTALS-Dilithium Reviewed International journal

Yasushi Takahashi, Naohisa Nishida, Yuji Unagami, Saburo Toyonaga, Naoto Yanai, Yasuhiko Ikematsu, Koji Nuida, Masaya Yasuda

Proceedings of SECITC 2024, Lecture Notes in Computer Science (LNCS) 15595 2025.5

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Language：English Publishing type：Research paper (international conference proceedings) Publisher：Springer
A New Cryptanalysis Against UOV-Based Variants MAYO, QR-UOV and VOX

FURUE Hiroki, IKEMATSU Yasuhiko

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E108.A ( 3 ) 174 - 182 2025.3 （ ISSN:09168508 eISSN:17451337 ）

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Authorship：Last author Language：English Publishing type：Research paper (scientific journal) Publisher：The Institute of Electronics, Information and Communication Engineers

Multivariate public-key cryptography (MPKC) is considered as one of the main candidates for post-quantum cryptography (PQC). In MPKC, the MinRank attacks, which try to solve the MinRank problem obtained from a public key, are important since a lot of multivariate schemes are broken by these attacks. Among them, the rectangular MinRank attack was recently proposed for the Rainbow scheme by Beullens, and it tries to solve a new kind of MinRank problem obtained by transforming the public key of Rainbow. Due to this attack, it is known that the security level of Rainbow was reduced. Rainbow is a multi-layered variant of the UOV scheme, and UOV is considered having a resistance to all MinRank attacks since its public key consists of full rank matrices. Recently, there have been submitted three new variants of the UOV scheme having a small public key, MAYO, QR-UOV and VOX in the NIST PQC standardization of additional digital signature schemes. In this paper, we show that the rectangular MinRank attack is applicable to MAYO, QR-UOV and VOX. Moreover, we estimate the complexity of the attack. In particular, we report that all the parameter sets of VOX submitted to NIST PQC standardization are broken in at most 2^55 gate operations.

DOI： 10.1587/transfun.2024cip0003

Scopus

CiNii Research
A survey on small public key signature schemes derived from UOV signature scheme Reviewed International journal

Yasuhiko Ikematsu

Mathematical Foundations for Post-Quantum Cryptography, Mathematics for Industry 2025.1

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Authorship：Lead author,　Last author,　Corresponding author Language：English Publishing type：Research paper (scientific journal) Publisher：Springer

Multivariate public key cryptosystems (MPKC) are constructed based on the computational diﬃculty of solving quadratic equations (MQ problem), and are being studied as promising candidates for post-quantum cryptography (PQC). UOV is a multivariate signature scheme and is a very fast scheme with a small signature size, however, its main drawback lies in its large public key. Recently, some variants of UOV have been proposed in order to reduce the public key size, and have been submitted to the additional NIST PQC standardization which started in 2022. It will be important for the future progress of the additional NIST PQC standardization to understand these variants. In this paper, we provide an overview of UOV and variants MAYO, QR-UOV submitted to the additional NIST PQC standardization.
Hilbert series for systems of UOV polynomials Reviewed International journal

Yasuhiko Ikematsu, @Tsunekazu Saito

IEICE Transaction on Fundamentals of Electronics, Communications and Computer Sciences (Special Section on Cryptography and Information Security) Vol.E107-A ( No. 3 ) 275 - 282 2024.3

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Authorship：Lead author,　Corresponding author Language：English Publishing type：Research paper (scientific journal)

Multivariate public key cryptosystems (MPKC) are constructed based on the problem of solving multivariate quadratic equations (MQ problem). Among various multivariate schemes, UOV is an important signature scheme since it is underlying some signature schemes such as MAYO, QR-UOV, and Rainbow which was a finalist of NIST PQC standardization project. To analyze the security of a multivariate scheme, it is necessary to analyze the first fall degree or solving degree for the system of polynomial equations used in specific attacks. It is known that the first fall degree or solving degree often relates to the Hilbert series of the ideal generated by the system. In this paper, we study the Hilbert series of the UOV scheme, and more specifically, we study the Hilbert series of ideals generated by quadratic polynomials used in the central map of UOV. In particular, we derive a prediction formula of the Hilbert series by using some experimental results. Moreover, we apply it to the analysis of the reconciliation attack for MAYO.

DOI： https://doi.org/10.1587/transfun.2023CIP0019
Revisiting the security analysis of SNOVA

Yasuhiko Ikematsu,@Rika Akiyama

2024 Symposium on Cryptography and Information Security (SCIS2024) 2024.1

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Language：English Publishing type：Research paper (other academic)
UOV多項式系に対するRectangular MinRank攻撃の計算量評価についての考察

池松泰彦, @古江弘樹

2024 Symposium on Cryptography and Information Security (SCIS2024) 2024.1

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Language：Japanese Publishing type：Research paper (other academic)
More Efficient Software Implementation of QR-UOV

@Fumitaka Hoshino, @Hiroki Furue, Yasuhiko Ikematsu, @Tsuyoshi Takagi, @Kan Yasuda, @Toshiyuki Miyazawa, @Akira Nagai, @Rika Akiyama, @Koha Kinjo

2024 Symposium on Cryptography and Information Security (SCIS2024) 2024.1

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Language：Japanese Publishing type：Research paper (other academic)
Further Security Analysis for Multivariate Polynomial Signature Scheme QR-UOV

@Hiroki Furue, Yasuhiko Ikematsu, @Fumitaka Hoshino, @Tsuyoshi Takagi, @Kan Yasuda, @Toshiyuki Miyazawa, @Akira Nagai, @Rika Akiyama, @Koha Kinjo

2024 Symposium on Cryptography and Information Security (SCIS2024) 2024.1

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Language：English Publishing type：Research paper (other academic)
ハイブリッドStreaming法によるCRYSTALS-Dilithiumのリソース最適化

@高橋康, @西田直央, @海上勇二,　@豊永三朗, 池松泰彦, 縫田光司, @安田雅哉

2024 Symposium on Cryptography and Information Security (SCIS2024) 2024.1

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Language：Japanese Publishing type：Research paper (other academic)
A security analysis on MQ-Sign Reviewed International journal

Yasuhiko Ikematsu, @Hyungrok Jo, @Takanori Yasuda

Proceedings of the 24th World Conference on Information Security Applications (WISA 2023) LNCS 14402 40 - 51 2024.1

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Language：English Publishing type：Research paper (international conference proceedings)

Repository Public URL： https://hdl.handle.net/2324/7178618
A survey on small public key signature schemes derived from UOV signature scheme Reviewed

Ikematsu Yasuhiko

Mathematical Foundations for Post-Quantum Cryptography, Mathematics for Industry, Springer - 2024

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CiNii Research
A New Security Analysis Against MAYO and QR-UOV Using Rectangular MinRank Attack Reviewed International journal

@Hiroki Furue, Yasuhiko Ikematsu

Proceedings of IWSEC 2023 LNCS 14128 101 - 116 2023.8

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Language：English Publishing type：Research paper (international conference proceedings)

Repository Public URL： https://hdl.handle.net/2324/7178622
韓国PQC標準化計画(KpqC)で提案されたMQ-Signの安全性解析

池松泰彦, @趙　亨騄, @安田貴徳

電子情報通信学会技術研究報告 Vol.123 ( No.129 ) 113 - 118 2023.7

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Language：Japanese Publishing type：Research paper (other academic)
A New Analysis of the Kipnis-Shamir Method Solving the MinRank Problem Reviewed International journal

@Shuhei Nakamura, Yasuhiko Ikematsu, @Yacheng Wang

IEICE Transaction on Fundamentals of Electronics, Communications and Computer Sciences (Special Section on Cryptography and Information Security) 203 - 211 2023.3

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Language：English Publishing type：Research paper (scientific journal)
不定方程式暗号のソフトウェア実装における高速化について

#真島侑斗, 池松泰彦, @秋山浩一郎, 縫田光司

2023 Symposium on Cryptography and Information Security (SCIS2023) 2023.1

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Language：Japanese Publishing type：Research paper (other academic)
Efficient Software Implementation of Signature Scheme QR-UOV

@Fumitaka Hoshino, @Hiroki Furue, Yasuhiko Ikematsu, @Tsunekazu Saito, @Yutaro Kiyomura, @Tsuyoshi Takagi

2023 Symposium on Cryptography and Information Security (SCIS2023) 2023.1

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Language：Japanese Publishing type：Research paper (other academic)
Secure Parameters for Multivariate Polynomial Signature Scheme QR-UOV

@古江弘樹, 池松泰彦, @星野文学, @清村優太郎, @齋藤恆和, @高木剛

2023 Symposium on Cryptography and Information Security (SCIS2023) 2023.1

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Language：English Publishing type：Research paper (other academic)
A MinRank attack against variants of UOV signature scheme

Hiroki Furue, Yasuhiko Ikematsu

2023 Symposium on Cryptography and Information Security (SCIS2023) 2023.1

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Language：English Publishing type：Research paper (other academic)
Lattice-based Public Key Cryptosystems invoking Linear Mapping Mask Reviewed International journal

@Yuntao Wang, Yasuhiko Ikematsu, @Takanori Yasuda

ProvSec 2022 2022.11

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Language：English Publishing type：Research paper (international conference proceedings)
近似イデアルGCD問題に基づく不定方程式暗号のC言語による実装とKaratsuba法による高速化について

#真島侑斗, 池松泰彦, @秋山浩一郎

Computer Security Symposium 2022 (CSS2022) 2022.10

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Language：Japanese Publishing type：Research paper (other academic)
同種写像暗号CSIDHのHesse曲線による構成

@小濱大輝,#野本慶一郎, 池松泰彦, 縫田光司, 小林真一

Computer Security Symposium 2022 (CSS2022) 2022.10

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Language：Japanese Publishing type：Research paper (other academic)
UOV多項式系に対するHilbert級数について

池松泰彦, @清村優太郎, @齋藤恆和

Computer Security Symposium 2022 (CSS2022) 2022.10

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Language：Japanese Publishing type：Research paper (other academic)
Three-Pass Identification Scheme Based on MinRank Problem with Half Cheating Probability Reviewed International journal

@Bagus Santoso, @Shuhei Nakamura, Yasuhiko Ikematsu, @Takanori Yasuda

ISITA2022 2022.10

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Language：English Publishing type：Research paper (international conference proceedings)
Recent progress in the security evaluation of multivariate public‐key cryptography

Ikematsu Yasuhiko, Nakamura Shuhei, Takagi Tsuyoshi

IET Information Security 17 ( 2 ) 210 - 226 2022.9 （ ISSN:17518709 eISSN:17518717 ）

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Language：English Publisher：Institution of Engineering and Technology (IET)

Multivariate public-key cryptography (MPKC) is considered a leading candidate for post-quantum cryptography (PQC). It is based on the hardness of the multivariate quadratic polynomial (MQ) problem, which is a problem of finding a solution to a system of quadratic equations over a finite field. In this paper, we survey some recent progress in the security analysis of MPKC. Among various existing multivariate schemes, the most important one is the Rainbow signature scheme proposed by Ding et al. in 2005, which was later selected as a finalist in the third round of the PQC standardization project by the National Institute of Standards and Technology. Under the circumstances, some recent research studies in MPKC have focussed on the security analysis of the Rainbow scheme. In this paper, the authors first explain efficient algorithms for solving the MQ problem and the research methodology for estimating their complexity in MPKC. Then, the authors survey some recent results related to the security analysis of the Rainbow scheme. In particular, the authors provide a detailed description of the complexity analysis for solving the bi-graded polynomial systems studied independently by Nakamura et al. and Smith-Tone et al., and then expound the rectangular MinRank attack against Rainbow proposed by Beullens.

CiNii Research
Introduction to algebraic approaches for solving isogeny path-finding problems (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties)

FUKASAKU Ryoya, IKEMATSU Yasuhiko, KUDO Momonari, YASUDA Masaya, YOKOYAMA Kazuhiro

RIMS Kokyuroku Bessatsu B90 169 - 184 2022.6 （ ISSN:18816193 ）

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Language：English Publisher：Research Institute for Mathematical Sciences, Kyoto University

The isogeny path-finding is a computational problem that finds an isogeny connecting two given isogenous elliptic curves. The hardness of the isogeny path-finding problem supports the fundamental security of isogeny-based cryptosystems. In this paper, we introduce an algebraic approach for solving the isogeny path-finding problem. The basic idea is to reduce the isogeny problem to a system of algebraic equations using modular polynomials, and to solve the system by Gröbner basis computation. We report running time of the algebraic approach for solving the isogeny path-finding problem of 3-power isogeny degrees on supersingular elliptic curves. This is a brief summary of [16] with implementation codes.

CiNii Research
Introduction to algebraic approaches for solving isogeny path-finding problems Invited Reviewed International journal

@Ryoya Fukasaku, Yasuhiko Ikematsu, @Momonari Kudo, @Masaya Yasuda, @Kazuhiro Yokoyama

RIMS Kokyuroku Bessatsu (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) 2022.6

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Language：English Publishing type：Research paper (scientific journal)
A study on randomness used in signature generation of UOV Reviewed International journal

Yasuhiko Ikematsu

Proceedings of the Seventh International Conference on Mathematics and Computing 1412 39 - 50 2022.3

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Language：English Publishing type：Research paper (international conference proceedings)
A study of the Kipnis-Shamir approach against the Rainbow signature scheme

Yasuhiko Ikematsu, @Shuhei Nakamura

2022 Symposium on Cryptography and Information Security (SCIS2022) 2022.1

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Language：English Publishing type：Research paper (other academic)
近似イデアルGCD問題に基づく不定方程式暗号のバリエーションについて

@秋山浩一郎, 池松泰彦

2022 Symposium on Cryptography and Information Security (SCIS2022) 2022.1

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Language：Japanese Publishing type：Research paper (other academic)
New Post-Quantum Digital Signature Scheme based on MinRank Problem

@Bagus Santoso, Yasuhiko Ikematsu, @Shuhei Nakamura, @Takanori Yasuda

2022 Symposium on Cryptography and Information Security (SCIS2022) 2022.1

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Language：English Publishing type：Research paper (other academic)
New complexity estimation on the Rainbow-Band-Separation attack Reviewed International journal

@Shuhei Nakamura, Yasuhiko Ikematsu, @Yacheng Wang, @Tsuyoshi Takagi

Theoretical Computer Science 896 1 - 18 2021.12

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Language：English Publishing type：Research paper (scientific journal)
Security Analysis on an ElGamal-Like Multivariate Encryption Scheme Based on Isomorphism of Polynomials Reviewed International journal

Yasuhiko Ikematsu, @Shuhei Nakamura, @Bagus Santoso, @Takanori Yasuda

Lecture Notes in Computer Science 13007 235 - 250 2021.10

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Language：English Publishing type：Research paper (international conference proceedings)

Repository Public URL： https://hdl.handle.net/2324/7174454
MinRank Based Three-Pass Identification Scheme with Half Cheating Probability

@Bagus Santoso, Yasuhiko Ikematsu, @Shuhei Nakamura , @Takanori Yasuda

Computer Security Symposium 2021 (CSS2021) 2021.10

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Language：English Publishing type：Research paper (other academic)
A Trace Map Attack Against Special Ring-LWE Samples Reviewed International journal

Yasuhiko Ikematsu, @Satoshi Nakamura, @Masaya Yasuda

Lecture Notes in Computer Science 12835 3 - 22 2021.8

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Language：English Publishing type：Research paper (international conference proceedings)
耐量子計算機暗号におけるグレブナー基底攻撃の計算量評価について

池松泰彦, 深作亮也, @中村周平, @坂田康亮, @工藤桃也, @王亜成, @高島克幸

数式処理 Bulletin of JSSAC (2021) Vol.27 ( No.2 ) 33 - 36 2021.8

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Language：Japanese Publishing type：Research paper (bulletin of university, research institution)
Dynamic Self-dual DeepBKZ Lattice Reduction with Free Dimensions Reviewed International journal

#Satoshi Nakamura, Yasuhiko Ikematsu, Masaya Yasuda

Proceedings of the Sixth International Conference on Mathematics and Computing 377 - 391 2020.11

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Language：English Publishing type：Research paper (international conference proceedings)

DOI： https://doi.org/10.1007/978-981-15-8061-1
Algebraic approaches for solving isogeny problems of prime power degrees Reviewed International journal

#Yasushi Takahashi, @Momonari Kudo, Ryoya Fukasaku, Yasuhiko Ikematsu, Masaya Yasuda, @Kazuhiro Yokoyama

Journal of Mathematical Cryptology 15 ( 1 ) 31 - 44 2020.11

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Language：English Publishing type：Research paper (scientific journal)
Solving the Search-LWE Problem by Lattice Reduction over Projected Bases Reviewed International journal

#Satoshi Nakamura, #Nariaki Tateiwa, @Koha Kinjo, Yasuhiko Ikematsu, Masaya Yasuda, Katsuki Fujisawa

Proceedings of the Sixth International Conference on Mathematics and Computing 29 - 42 2020.11

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Language：English Publishing type：Research paper (international conference proceedings)

DOI： https://doi.org/10.1007/978-981-15-8061-1_3
Cryptanalysis of Giophantus(TM) Schemes against Hybrid Attack Reviewed International journal

@Yuntao Wang, Yasuhiko Ikematsu, @Koichi Akiyama, @Tsuyoshi Takagi

Proceedings of the 7th ACM Workshop on ASIA Public-Key Cryptography 2020.10

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Language：English Publishing type：Research paper (international conference proceedings)
Revisiting the Minrank Problem on Multivariate Cryptography Reviewed International journal

@Yacheng Wang, Yasuhiko Ikematsu, @Shuhei Nakamura, @Tsuyoshi Takagi

21st World Conference on Information Security Applications 2020.8

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Language：English Publishing type：Research paper (international conference proceedings)
A Structual Attack on Bloch-Anti-Circulant UOV at SAC 2019 Reviewed International journal

Hiroki Furue, Koha Kinjo, Yasuhiko Ikematsu, Yacheng Wang, Tsuyoshi Takagi

Proceedings of the International Conference on Post-Quantum Cryptography (PQCrypto 2020) 323 - 339 2020.4

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Language：English Publishing type：Research paper (international conference proceedings)
The Secure Parameters and Efficient Decryption Algorithm for Multivariate Public Key Cryptosystem EFC Reviewed International journal

Yacheng Wang, Yasuhiko Ikematsu, Dung Hoang Duong, Tsuyoshi Takagi

IEICE Transaction on Fundamentals of Electronics, Communications and Computer Sciences (Special Section on Discrete Mathematics and Its Applications) Volume E102.A ( Issue 9 ) 1028 - 1036 2019.9

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Language：English Publishing type：Research paper (scientific journal)
Chosen Message Attack on Multivariate Signature ELSA at Asiacrypt 2017 Reviewed International journal

Yasufumi Hashimoto, Yasuhiko Ikematsu, Tsuyoshi Takagi

Journal of Information Processing Vol. 27 517 - 524 2019.1

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Language：English Publishing type：Research paper (scientific journal)
An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme Invited Reviewed International journal

Yasuhiko Ikematsu, Koichiro Akiyama, Tsuyoshi Takagi

Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018 389 - 393 2018.10

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Chosen Message Attack on Multivariate Signature ELSA at Asiacrypt 2017 Reviewed International journal

Yasufumi Hashimoto, Yasuhiko Ikematsu, Tsuyoshi Takagi

Proceedings of the 13th International Workshop on Security (IWSEC 2018) 3 - 18 2018.7

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Language：English Publishing type：Research paper (international conference proceedings)

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Books

International Symposium on Mathematics, Quantum Theory, and Cryptography -Proceedings of MQC 2019-

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Springer 2020

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Language：English Book type：Scholarly book

DOI： https://doi.org/10.1007/978-981-15-5191-8

Presentations

Revisiting the security analysis of SNOVA International conference

Yasuhiko Ikematsu

The 11th ACM ASIA Public-Key Cryptography Workshop (APKC2024) 2024.7

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Event date： 2024.7

Language：English Presentation type：Oral presentation (general)

Venue：Singapore
New security analysis for UOV-based signature candidates with small public key size Invited International conference

Yasuhiko Ikematsu

5th NIST PQC Standardization conference 2024.4 National Institute of Standards and Technology (NIST)

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Event date： 2024.4

Language：English Presentation type：Oral presentation (invited, special)

Venue：Rockville, Maryland
UOV署名方式に付随するHilbert級数について

池松泰彦

IMI暗号学セミナー 2022.7

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Event date： 2023.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：九州大学 Country：Japan
多変数多項式暗号の最近の進展について Invited

池松泰彦

金沢暗号理論勉強会 2021.6

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Event date： 2021.6

Language：Japanese Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
耐量子計算機暗号におけるグレブナー基底攻撃の計算量評価について

池松泰彦

日本数式処理学会第29回大会 2020.11

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Event date： 2021.5

Language：Japanese Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
Hybrid meet-in-the-middle attacks for the isogeny path-finding problem International conference

Yasuhiko Ikematsu

The 7th ACM ASIA Public-Key Cryptography Workshop (APKC 2020) 2020.10

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Event date： 2020.10

Language：English Presentation type：Symposium, workshop panel (public)

Venue：オンライン Country：Japan
多変数連立二次方程式の求解困難性を利用した暗号の構成について Invited

池松泰彦

シンポジウム暗号数理の現状と未来 2019.11

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Event date： 2020.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：金沢 Country：Japan
Local theta lift for U(2)×U(3)

池松泰彦

RIMS研究集会保型形式・保型的L関数とその周辺 2016.2

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Event date： 2020.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：京都 Country：Japan
The description of local theta lift for U(2)×U(3) Invited International conference

Yasuhiko Ikematsu

The 16th Korea-Japan Workshop on Algebra and Combinatorics 2018.2

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Event date： 2020.4

Language：English Presentation type：Oral presentation (general)

Venue：韓国 Country：Korea, Republic of
The multivariate encryption scheme HFERP Invited

池松泰彦

量子情報社会に向けた数理的アプローチ 2018.9

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Event date： 2020.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：福岡 Country：Japan
Chosen Message Attack on Multivariate Signature ELSA at Asiacrypt 2017 International conference

Yasuhiko Ikematsu

13th International Workshop on Security, IWSEC 2018 2018.9

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Event date： 2018.9

Language：English

Venue：Sendai Country：Japan
Revisiting the efficient key generation of ZHFE International conference

Yasuhiko Ikematsu

2nd International Conference on Codes, Cryptology and Information Security, C2SI 2017 2017.4

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Event date： 2017.4

Language：English

Venue：Rabat Country：Morocco
多変数署名方式とその安全性解析について Invited

池松泰彦

第7回情報数理セミナー 2024.8

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Event date： 2024.8

Language：Japanese Presentation type：Oral presentation (general)

Venue：日本大学
UOV署名方式とその改良

池松泰彦

耐量⼦署名⽅式の設計と安全性の数理 2024.7 九州大学マス・フォア・インダストリ研究所

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Event date： 2024.7

Language：Japanese Presentation type：Oral presentation (general)

Venue：九州大学
Revisiting the security analysis of SNOVA

池松泰彦

2024 Symposium on Cryptography and Information Security (SCIS2024) 2024.1

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Event date： 2024.1

Language：Japanese Presentation type：Oral presentation (general)

Venue：長崎 Country：Japan
UOV多項式系に対するRectangular MinRank攻撃の計算量評価についての考察

池松泰彦

2024 Symposium on Cryptography and Information Security (SCIS2024) 2024.1

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Event date： 2024.1

Language：Japanese Presentation type：Oral presentation (general)

Venue：長崎 Country：Japan
多変数多項式暗号の最近の研究について Invited

池松泰彦

耐量子計算機暗号の最新動向 2024.1

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Event date： 2024.1

Language：Japanese Presentation type：Symposium, workshop panel (public)

Venue：中央大学 Country：Japan
NIST耐量子計算機暗号標準化プロジェクト提案方式: QR-UOV

@古江弘樹, 池松泰彦, @星野文学, @高木剛, @安田幹, @宮澤俊之, @永井彰, @秋山梨佳, @金城皓羽

Computer Security Symposium 2023 (CSS2023) 2023.11

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Event date： 2023.10 - 2023.11

Language：Japanese

Venue：福岡 Country：Japan
署名方式Rainbowに対する鍵復元攻撃の解説 Invited

池松泰彦

Small-workshop on Communications between Academia and Industry for Security (SCAIS 2023) 2023.1

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Event date： 2023.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：小倉 Country：Japan
多変数多項式暗号2:安全性解析

池松泰彦

耐量子計算機暗号と量子情報の数理 2022.8

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Event date： 2023.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：九州大学 Country：Japan
UOV多項式系に対するHilbert級数について

池松泰彦

Computer Security Symposium 2022 (CSS2022) 2022.10

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Event date： 2023.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：熊本 Country：Japan
多変数多項式暗号の世界 Invited

池松泰彦

情報数学セミナー 2022.11

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Event date： 2023.4

Language：Japanese Presentation type：Oral presentation (general)

Venue：東京大学 Country：Japan
Revisiting the security analysis against 2F method

池松泰彦, @Duong Dung, @安田貴徳

第19回日本応用数理学会研究部会連合発表会「数理的技法による情報セキュリティ」(FAIS) 2023.3

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Event date： 2023.3

Language：Japanese Presentation type：Oral presentation (general)

Venue：岡山理科大学 Country：Japan
Rainbow署名方式に付随するMinRank問題について

池松泰彦

日本応用数理学会第18回研究部会連合発表会 2022.3

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Event date： 2022.3

Language：Japanese Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
A study of the Kipnis-Shamir approach against the Rainbow signature scheme

池松泰彦

Symposium on Cryptography and Information Security (SCIS2022) 2022.1

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Event date： 2022.1

Language：Japanese Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
An Indeterminate Equation Scheme having Homomorphic Property

池松泰彦

秘密計算・秘密分散の数理と実用の探求 2021.11

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Event date： 2021.11

Language：Japanese Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
多変数多項式暗号の構成と安全性解析の研究

池松　泰彦

CREST「現代の数理科学と連携するモデリング手法の構築」成果報告公開シンポジウム 2021.9

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Event date： 2021.9

Language：Japanese Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
Security Analysis on an ElGamal-like Multivariate Encryption Scheme Based on Isomorphism of Polynomials International conference

Yasuhiko Ikematsu

Inscrypt2021 2021.8

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Event date： 2021.8

Language：English Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
A study on randomness used in signature generation of UOV International conference

Yasuhiko Ikematsu

The 7th International Conference on Mathematics and Computing (ICMC2021) 2021.3

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Event date： 2021.5

Language：English Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
近似イデアルGCD問題に基づく不定方程式暗号に対するイデアル分解攻撃の考察

池松泰彦

Symposium on Cryptography and Information Security (SCIS2021) 2021.1

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Event date： 2021.5

Language：Japanese Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
Security analysis on an El-Gamal-like multivariate encryption scheme based on a generalization of IP2S problem

池松泰彦

Symposium on Cryptography and Information Security (SCIS2021) 2021.1

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Event date： 2021.5

Language：English Presentation type：Oral presentation (general)

Venue：オンライン Country：Japan
A Vulnerability on an Efficient Signature Generation Using Precomputation for UOV

池松泰彦

コンピュータセキュリティシンポジウム2020 (CSS2020) 2020.10

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Event date： 2020.10

Language：Japanese Presentation type：Symposium, workshop panel (public)

Venue：オンライン Country：Japan
Hybrid meet-in-the-middle-attacks for the isogeny path-finding problem International conference

Yasuhiko Ikematsu

The 12th Workshop among Asia Information Security Labs (WAIS2020) 2020.2

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Event date： 2020.4

Language：English Presentation type：Oral presentation (general)

Venue：東京 Country：Japan
Revisiting the Efficient Key Generation of ZHFE International conference

Yasuhiko Ikematsu

The Ninth Workshop among Asia Information Security Labs (WAIS2017) 2017.1

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Event date： 2020.4

Language：English Presentation type：Oral presentation (general)

Venue：佐賀 Country：Japan
A Multivariate Encryption Scheme HFEPR International conference

Yasuhiko Ikematsu

The 11th Workshop among Asia Information Security Labs (WAIS2019) 2019.2

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Event date： 2020.4

Language：English Presentation type：Oral presentation (general)

Venue：韓国 Country：Korea, Republic of
Public Key Cryptosystems using Multivariate Polynomials

Yasuhiko Ikematsu

IMI Crypto Seminar 2019.8

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Event date： 2020.4

Language：English Presentation type：Oral presentation (general)

Venue：福岡 Country：Japan
An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme International conference

Yasuhiko Ikematsu

15th International Symposium on Information Theory and Its Applications, ISITA 2018 2018.10

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Event date： 2018.10

Language：English

Venue：Singapore Country：Singapore

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MISC

New security analysis for UOV-based signature candidates with small public key size

Yasuhiko Ikematsu, @Hiroki Furue, @Rika Akiyama

5th NIST PQC Standardization Conference 2024.3

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Language：English Publishing type：Internal/External technical report, pre-print, etc.
多変数多項式暗号の最近の研究について

池松泰彦

電子情報通信学会誌, Vol.106, No.11 2023.11

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Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (scientific journal)
多変数多項式暗号の世界

池松泰彦, @安田貴徳

数理科学, 2023年7月号, No.721, サイエンス社 2023.7

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Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (scientific journal)

Works

QR-UOV (Round 2 Additional Signature)

Hiroki Furue, Yasuhiko Ikematsu, Fumitaka Hoshino, Tsuyoshi Takagi, Haruhisa Kosuge, Kimihiro Yamakoshi, Rika Akiyama, Satoshi Nakamura, Shingo Orihara, Koha Kinjo

2025.2

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NTT, 東京大, 長崎県立大と共同開発した署名方式QR-UOVが、米国政府機関NISTのPQC標準化コンペの第２ラウンドに進出した。今回第2ラウンド進出に合わせて安全性証明および処理性能を向上させる実装技術を含む新たな技術仕様書を公開した。また以下のプレスリリースも参照。https://www.kyushu-u.ac.jp/f/60337/25_0120_03.pdf

Other Link： https://csrc.nist.gov/Projects/pqc-dig-sig/round-2-additional-signatures
QR-UOV

Hiroki Furue, Yasuhiko Ikematsu, Fumitaka Hoshino, Tsuyoshi Takagi, Kan Yasuda, Toshiyuki Miyazawa, Tsunekazu Saito, Akira Nagai

2023.7

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Kyushu University, the University of Tokyo, University of Nagasaki and NTT developed a new multivariate signature scheme called QR-UOV. We submitted this signature scheme to Additional Digital Signature Schemes for the Post-Quantum Cryptography Standardization Process of National Institute of Standards and Technology (NIST).

Other Link： http://info.isl.ntt.co.jp/crypt/qruov/

Professional Memberships

日本数学会
日本応用数理学会
電子情報通信学会
情報処理学会
数式処理学会

Committee Memberships

電子情報通信学会『Special Section on Cryptography and Information Security』編集委員会編集委員 Domestic

2024.10 - 2026.3

　 More details

Committee type：Academic society
電子情報通信学会和文論文誌Ａ編集委員会和文論文誌編集委員 Domestic

2024.6 - 2028.6

　 More details

Committee type：Academic society
電子情報通信学会英文論文誌Ａ編集委員会英文論文誌編集委員 Domestic

2024.6 - 2028.6

　 More details

Committee type：Academic society
電子情報通信学会『Special Section on Cryptography and Information Security』編集委員会編集委員 Domestic

2023.9 - 2025.3

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Committee type：Academic society
電子情報通信学会, 情報セキュリティ研究会, 専門委員会専門委員 Domestic

2020.6 - Present

Academic Activities

座長

Role(s)： Panel moderator, session chair, etc.

2025年暗号と情報セキュリティシンポジウム（SCIS2025) 2025.1

　More details

Type：Competition, symposium, etc.
組織委員

Role(s)： Planning, management, etc.

第15回暗号及び情報セキュリティと数学の相関ワークショップ（CRISMATH 2024） 2024.12

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Type：Academic society, research group, etc.
組織委員

Role(s)： Planning, management, etc.

記号計算の高速化と産業課題解決への応用2 2024.11

　More details

Type：Academic society, research group, etc.
組織委員

Role(s)： Planning, management, etc.

情報・計算・暗号の融合による新しい数理基盤の創出 2024.9

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Type：Academic society, research group, etc.
Program Committee International contribution

IWSEC2024 （ Kyoto Japan ） 2024.9

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Type：Competition, symposium, etc.
組織委員

Role(s)： Planning, management, etc.

エクスパンダーグラフの新しい構成手法の確立とその応用3 2024.9

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Type：Academic society, research group, etc.
Study Group Workshop 2024 モデレーター

九州大学マス・フォア・インダストリ研究所、大学院数理学研究院・大学院数理学府・理学部数学科 2024.7

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Type：Academic society, research group, etc.
組織委員

Role(s)： Planning, management, etc.

耐量子計算機暗号の社会実装に向けた数理基盤の研究 2024.7

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Type：Academic society, research group, etc.
Technical Program Committee International contribution

QCNC2024 （ Kanazawa Japan ） 2024.7

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Type：Competition, symposium, etc.
Screening of academic papers

Role(s)： Peer review

2024.4 - 2025.3

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：4

Proceedings of International Conference Number of peer-reviewed papers：3

Proceedings of domestic conference Number of peer-reviewed papers：2
組織委員

IMI共同利用若手研究・短期共同研究「記号計算の高速化と産業課題解決への応用」（ Japan ） 2023.11

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Type：Competition, symposium, etc.
組織委員

IMI共同利用一般研究・研究集会(I)「現代暗号に対する安全性解析・攻撃の数理」（ Japan ） 2023.9

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Type：Competition, symposium, etc.
組織委員

IMI共同利用若手研究・短期共同研究「エクスパンダーグラフの新しい構成手法の確立とその応用2」（ Japan ） 2023.9

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Type：Competition, symposium, etc.
Screening of academic papers

Role(s)： Peer review

2023

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Type：Peer review

Number of peer-reviewed articles in foreign language journals：2

Proceedings of International Conference Number of peer-reviewed papers：3

Proceedings of domestic conference Number of peer-reviewed papers：1
組織委員

IMI共同利用一般研究・研究集会(II)「高度化する暗号技術と数学的技法の進展」（ Japan ） 2022.11

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Type：Competition, symposium, etc.
組織委員

IMI共同利用若手研究・短期共同研究「限量子消去の効率的なアルゴリズムの構築と産業課題解決への応用」（ Japan ） 2022.10 - 2022.11

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Type：Competition, symposium, etc.
組織委員 International contribution

IWSEC2022 （ Japan ） 2022.8 - 2022.9

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Type：Competition, symposium, etc.
組織委員

IMI共同利用若手研究・短期共同研究「エクスパンダーグラフの新しい構成手法の確立とその応用」（ Japan ） 2022.8

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Type：Competition, symposium, etc.
組織委員

IMI共同利用プロジェクト研究・短期共同研究「セキュアな量子情報活用に向けた次世代暗号の数理」（ Japan ） 2022.8

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Type：Competition, symposium, etc.
組織委員

IMI共同利用一般研究・短期共同研究「数式処理研究と産学連携の新たな発展」（ Japan ） 2022.2

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Type：Competition, symposium, etc.
Screening of academic papers

Role(s)： Peer review

2022

　More details

Type：Peer review

Number of peer-reviewed articles in foreign language journals：1

Proceedings of International Conference Number of peer-reviewed papers：3
組織委員

IMI共同利用若手研究・短期共同研究「格子暗号の実用化に向けた研究」（ Japan ） 2021.11

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Type：Competition, symposium, etc.
組織委員

IMI共同利用一般研究・研究集会(I)「秘密計算・秘密分散の数理と実用の探求」（ Japan ） 2021.11

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Type：Competition, symposium, etc.
プログラム編成委員

2021年度電子情報通信学会ソサイエティ大会（ Japan ） 2021.9

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Type：Competition, symposium, etc.
組織委員 International contribution

IWSEC2021 （ Japan ） 2021.9

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Type：Competition, symposium, etc.
組織委員

IMI共同利用若手研究・短期共同研究「ラマヌジャン・グラフの整数論による耐量子計算機暗号へのアプローチ」（ Japan ） 2021.8 - 2021.9

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Type：Competition, symposium, etc.
プログラム編成委員

2020年度電子情報通信学会総合大会（ online Japan ） 2021.3

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Type：Competition, symposium, etc.
Screening of academic papers

Role(s)： Peer review

2021

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Type：Peer review

Proceedings of International Conference Number of peer-reviewed papers：1
組織委員 International contribution

IWSEC2020 （ online Japan ） 2020.9

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Type：Competition, symposium, etc.
Screening of academic papers

Role(s)： Peer review

2020

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Type：Peer review

Proceedings of International Conference Number of peer-reviewed papers：2
組織委員 International contribution

International Symposium on Mathematics, Quantum Theory and Cryptography (MQC 2019) （ Japan ） 2019.9

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Type：Competition, symposium, etc.
International Symposium on Mathematics, Quantum Theory, and Cryptography, Proceedings of MQC 2019 International contribution

2019.4 - 2020.4

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Type：Academic society, research group, etc.
Screening of academic papers

Role(s)： Peer review

2019

　More details

Type：Peer review

Number of peer-reviewed articles in foreign language journals：1

Proceedings of International Conference Number of peer-reviewed papers：3

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Research Projects

耐量子計算機暗号方式のパラメータ解析に真に有効な古典・量子アルゴリズムの開発

Grant number：24K02939 2024.4 - 2028.3

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

高安敦, 池松泰彦

　 More details

Grant type：Scientific research funding

量子アルゴリズムに対しても安全な耐量子計算機暗号の研究は実用・理論の両面から注目されている研究課題である。本研究では、代表的な耐量子計算機暗号である格子暗号・符号暗号・多変数多項式暗号・同種写像暗号の実用化に向けたパラメータ解析を行うものであり、本研究の遂行は耐量子計算機暗号実用化に向けた重要な課題である。研究は大きく分けて3つのステップからなり、耐量子計算機暗号方式の多項式時間攻撃の開発、耐量子計算機暗号方式のパラメータ設定のための攻撃アルゴリズムの開発、物理的攻撃などを考慮した耐量子計算機暗号方式の安全性解析である。

CiNii Research
グレブナー基底理論を用いた耐量子計算機暗号の安全性解析と開発

Grant number：22K17889 2022.4 - 2025.3

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Early-Career Scientists

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Authorship：Principal investigator Grant type：Scientific research funding
CREST ポスト量子社会が求める高機能暗号の数理基盤創出と展開

2021.10
多変数連立方程式の求解困難性を基にした耐量子暗号の安全性評価

Grant number：19K20266 2019 - 2023

Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Early-Career Scientists

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Authorship：Principal investigator Grant type：Scientific research funding
CREST暗号数理：次世代暗号に向けたセキュリティ危殆化回避数理モデリング

2016.7 - 2022.3

Educational Activities

理学部数学科、数理学府、工学部で数学の講義を行なっている。また、理学部数学科、数理学府ではセミナーを通して暗号理論の専門的な人材の育成を行なっている。

Class subject

複素関数論（電情C）

2023.4 - 2023.9 First semester
複素関数論（電情CM）

2023.4 - 2023.9 First semester
数学概論Ⅱ・演習

2022.4 - 2022.9 First semester
抽象代数学の基礎

2021.10 - 2022.3 Second semester
情報数学特論４

2021.10 - 2022.3 Second semester
数学概論Ⅱ・演習

2021.4 - 2021.9 First semester
代数学Ⅱ・演習

2020.10 - 2021.3 Second semester
数学概論Ⅲ・演習

2020.10 - 2021.3 Second semester
数学概論Ⅱ・演習

2020.4 - 2020.9 First semester
プログラミング演習(P)

2024.6 - 2024.8 Summer quarter
複素関数論（電情C）

2024.4 - 2024.9 First semester
複素関数論（電情CM）

2024.4 - 2024.9 First semester

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FD Participation

2024.7 Role：Participation Title：教員会議

Organizer：[Undergraduate school/graduate school/graduate faculty]
2024.2 Role：Participation Title：数理学府FD

Organizer：[Undergraduate school/graduate school/graduate faculty]
2022.4 Role：Participation Title：数理学府FD

Organizer：[Undergraduate school/graduate school/graduate faculty]
2021.3 Role：Participation Title：数理学府FD

Organizer：[Undergraduate school/graduate school/graduate faculty]

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

2019 福岡工業大学・工学部・生命環境化学科 Classification:Part-time lecturer Domestic/International Classification:Japan

Semester, Day Time or Duration：2019年度　金曜3、4限「統計数学」
2017 福岡工業大学・　工学部・生命環境化学科 Classification:Part-time lecturer Domestic/International Classification:Japan

Semester, Day Time or Duration：2017年度後期　火曜1、5限「応用数学」

Outline of Social Contribution and International Cooperation activities

I conduct joint work with companies on cryptography. I am a committee member of several international conferences.

Social Activities

暗号技術-インターネットの安全を守る数学問題-

Role(s)：Lecturer

九州大学理学部九州大学オープンキャンパス 2024.8

Media Coverage

「日本発」量子コンピュータ時代の安全な暗号 Newspaper, magazine

科学新聞科学新聞 2025.1

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NTT, 東大, 長県大と共同開発した署名方式QR-UOVが米国政府機関NISTのPQC標準化コンペの第２ラウンドに進出したことに関する記事