代数多様体のコホモロジー群へのフロベニウス作用を計算するアルゴリズム 招待 査読

工藤 桃成

日本数式処理学会論文誌「数式処理」   29 ( 2 )   3 - 30   2023年8月

Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group V4 査読

Ryo Ohashi, Momonari Kudo, Shushi Harashita

Arithmetic of Finite Fields, WAIFI 2022, Lecture Notes in Computer Science   13638   107 - 124   2023年1月

Algorithmic study of superspecial hyperelliptic curves over finite Fields 査読

Momonari Kudo, Shushi Harashita

Commentarii mathematici Universitatis Sancti Pauli   70   49064   2022年12月

Revisiting lattice-based attacks using trace map for Ring-LWE 査読

Shinya Okumura, Shusaku Uemura, Momonari Kudo

2022 International Symposium on Information Theory and Its Applications (ISITA)   2022年9月

Superspecial trigonal curves of genus 5 査読

Momonari Kudo, Shushi Harashita

Experimental Mathematics   31   908 - 919   2022年9月

Efficient search for superspecial hyperelliptic curves in large characteristic 査読

Tasuku Nakagawa, Mononari Kudo, Tsuyoshi Takagi

Computer Algebra in Scientific Computing (CASC 2022)   4 pages   2022年8月

On the computational enumeration of superspecial curves: A survey and complements 査読

Hiroki Furue, Momonari Kudo

Computer Algebra in Scientific Computing (CASC 2022)   4 pages   2022年8月

Implementation report on computing Groebner bases over exterior algebras 査読

Kosuke Sakata, Momonari Kudo, Taku Kato, Kazuhiro Yokoyama

Computer Algebra in Scientific Computing (CASC 2022)   4 pages   2022年8月

Counting isomorphism classes of superspecial curves 招待 査読

Momonari Kudo

RIMS Kokyuroku Bessatsu   B90   77 - 95   2022年6月

Introduction to algebraic approaches for solving isogeny path-finding problems 招待 査読

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

RIMS Kokyuroku Bessatsu   B90   169 - 184   2022年6月

Implementation report of the Kohel-Lauter-Petit-Tignol algorithm for the constructive Deuring correspondence 査読

Yuta Kambe, Yusuke Aikawa, Momonari Kudo, Kastuyuki Takashima, Masaya Yasuda, Kazuhiro Yokoyama

Proceedings of the Seventh International Conference of Mathematics and Computing (ICMC2021), Advances in Intelligent Systems and Computing   1412   953 - 966   2022年3月

Solving the constructive Deuring correspondence via the Kohel-Lauter-Petit-Tignol algorithm 査読

Yuta Kambe, Masaya Yasuda, Masayuki Noro, Kazuhiro Yokoyama, Yusuke Aikawa, Katsuyuki Takashima, Momonari Kudo

Mathematical Cryptology   1 ( 2 )   10 - 24   2022年3月

Computing representation matrices for the action of Frobenius on cohomology groups 査読

Momonari Kudo

Journal of Symbolic Computation   109   441 - 464   2022年3月

Introduction to Computational Algebraic Geometry 招待 査読

Momonari Kudo, Shushi Harashita

RIMS Kokyuroku Bessatsu   22 pages   2021年12月

Shortest Vectors in Lattices of Bai-Galbraith's Embedding Attack on the LWR Problem 査読

Shusaku Uemura, Kazuhide Fukushima, Shinsaku Kiyomoto, Momonari Kudo, Tsuyoshi Takagi

Advances in Information and Computer Security. IWSEC 2021. Lecture Notes in Computer Science   12835   23 - 41   2021年8月

Parametrizing generic curves of genus five and its application to finding curves with many rational points 査読

Momonari Kudo, Shushi Harashita

MEGA 2021: Effective Methods in Algebraic Geometry   16 pages   2021年6月

Algebraic approaches for solving isogeny problems of prime power degrees 査読

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

Journal of Mathematical Cryptology   15 ( 1 )   31 - 44   2021年1月

Algorithms to enumerate superspecial Howe curves of genus four 査読 国際共著

Momonari Kudo, Shushi Harashita, Everett Howe

Proceedings of the Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV), Open Book Series   4   2020年12月

Hybrid meet-in-the-middle attacks for the isogeny path-finding problem 査読

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

Proceedings of The 7th ACM ASIA Public-Key Cryptography Workshop (APKC ’20)   36 - 44   2020年10月

The existence of supersingular curves of genus 4 in arbitrary characteristic 査読

Momonari Kudo, Shushi Harashita, Hayato Senda

Research in Number Theory   6 ( 4 )   17 pages   2020年10月

Automorphism groups of superspecial curves of genus 4 over F11 査読

Momonari Kudo, Shushi Harashita, Hayato Senda

Journal of Pure and Applied Algebra   224 ( 9 )   19 pages   2020年9月

Computational approach to enumerate non-hyperelliptic superspecial curves of genus 4 査読

Momonari Kudo, Shushi Harashita

Tokyo Journal of Mathematics   43 ( 1 )   259 - 278   2020年6月

On the existence of superspecial and maximal nonhyperelliptic curves of genera four and five 査読

Momonari Kudo

Communications in Algebra   47 ( 12 )   5020 - 5038   2019年7月

Computing representation matrices for the Frobenius on cohomology groups 査読

Momonari Kudo

MEGA 2019: Effective Methods in Algebraic Geometry   32 pages   2019年6月

Superspecial Hyperelliptic Curves of Genus 4 over Small Finite Fields 査読

Momonari Kudo, Shushi Harashita

Arithmetic of Finite Fields, WAIFI 2018, Lecture Notes in Computer Science   11321   58 - 73   2018年12月

Acceleration of Index Calculus for Solving ECDLP over Prime Fields and Its Limitation 査読

Momonari Kudo, Yuki Yokota, Yasushi Takahashi, Masaya Yasuda

Cryptology and Network Security, CANS 2018, LNCS   11124   377 - 393   2018年9月

Cryptanalysis of a public key cryptosystem based on diophantine equations via weighted LLL reduction 査読 国際共著

Jintai Ding, Momonari Kudo, Shinya Okumura, Tsuyoshi Takagi, Tao Chengdong

Japan Journal of Industrial and Applied Mathematics   35 ( 3 )   1123 - 1152   2018年6月

Practical Limit of Index Calculus Algorithms for ECDLP over Prime Fields 査読

Momonari Kudo, Yuki Yokota, Masaya Yasuda

The Tenth International Workshop on Coding and Cryptography 2017, WCC 2017   12 pages   2017年9月

Enumerating Superspecial Curves of Genus 4 over Prime Fields 査読

Momonari Kudo, Shushi Harashita

The Tenth International Workshop on Coding and Cryptography 2017 (WCC2017)   10 pages   2017年9月

Superspecial curves of genus 4 in small characteristic 査読

Momonari Kudo, Shushi Harashita

Finite Fields and Their Applications   45   131 - 169   2017年5月

Analysis of an algorithm to compute the cohomology groups of coherent sheaves and its applications 査読

Momonari Kudo

Japan Journal of Industrial and Applied Mathematics   34 ( 1 )   1 - 40   2017年2月

Practical Analysis of Key Recovery Attack against Search-LWE Problem 査読 国際共著

Momonari Kudo, Junpei Yamaguchi, Yang Guo, Masaya Yasuda

Advances in Information and Computer Security, IWSEC 2016, Lecture Notes in Computer Science   9836   164 - 181   2016年9月

Cryptanalysis of a Public Key Cryptosystem Based on Diophantine Equations via Weighted LLL Reduction 査読 国際共著

Jintai Ding, Momonari Kudo, Shinya Okumura, Tsuyoshi Takagi, Tao Chengdong

Advances in Information and Computer Security, IWSEC 2016, Lecture Notes in Computer Science   9836   305 - 315   2016年9月