Explicit construction of a plane sextic model for genus-five Howe curves, II Invited Reviewed International journal

Momonari Kudo

Journal of Computational Algebra   11   2024.7

Computing superspecial hyperelliptic curves of genus 4 with automorphism group properly containing the Klein 4-group Invited Reviewed International journal

Ryo Ohashi, Momonari Kudo

Journal of Computational Algebra   11   2024.7

Explicit construction of a plane sextic model for genus-five Howe curves, I Invited Reviewed International journal

Tomoki Moriya, Momonari Kudo

Journal of Computational Algebra   11   2024.7

Computational search for superelliptic curves attaining the gonality-point bound, with extra genus-5 examples Invited Reviewed International journal

Momonari Kudo, Shushi Harashita

Commentarii mathematici Universitatis Sancti Pauli   72 ( 1 )   57 - 81   2024.7

Polynomial XL: A Variant of the XL Algorithm Using Macaulay Matrices over Polynomial Rings Reviewed International journal

Hiroki Furue, Momonari Kudo

Post-Quantum Cryptography, PQCrypto 2024, Lecture Notes in Computer Science   14772   109 - 143   2024.6

Representation of non-special curves of genus 5 as plane sextic curves and its application to finding curves with many rational points Reviewed

Momonari Kudo, Shushi Harashita

Journal of Symbolic Computation   122   2023.9

Efficient search for superspecial hyperelliptic curves of genus four with automorphism group containing C6 Reviewed

Momonari Kudo, Tasuku Nakagawa, Tsuyoshi Takagi

Mathematics in Computer Science   17 ( Article Number 21 )   2023.9

Improved Hybrid Attack via Error-Splitting Method for Finding Quinary Short Lattice Vectors Reviewed International coauthorship

Haiming Zhu, Shoichi Kamada, Momonari Kudo, Tsuyoshi Takagi

Advances in Information and Computer Security, IWSEC 2023, Lecture Notes in Computer Science   14128   117 - 136   2023.8

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 Invited Reviewed

工藤 桃成

日本数式処理学会論文誌「数式処理」   29 ( 2 )   3 - 30   2023.8

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

Ryo Ohashi, Momonari Kudo, Shushi Harashita

Arithmetic of Finite Fields, WAIFI 2022, Lecture Notes in Computer Science   13638   107 - 124   2023.1

Algorithmic study of superspecial hyperelliptic curves over finite Fields Reviewed

Momonari Kudo, Shushi Harashita

Commentarii mathematici Universitatis Sancti Pauli   70   49064   2022.12

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

Shinya Okumura, Shusaku Uemura, Momonari Kudo

2022 International Symposium on Information Theory and Its Applications (ISITA)   2022.9

Superspecial trigonal curves of genus 5 Reviewed

Momonari Kudo, Shushi Harashita

Experimental Mathematics   31   908 - 919   2022.9

Efficient search for superspecial hyperelliptic curves in large characteristic Reviewed

Tasuku Nakagawa, Mononari Kudo, Tsuyoshi Takagi

Computer Algebra in Scientific Computing (CASC 2022)   4 pages   2022.8

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

Hiroki Furue, Momonari Kudo

Computer Algebra in Scientific Computing (CASC 2022)   4 pages   2022.8

Implementation report on computing Groebner bases over exterior algebras Reviewed

Kosuke Sakata, Momonari Kudo, Taku Kato, Kazuhiro Yokoyama

Computer Algebra in Scientific Computing (CASC 2022)   4 pages   2022.8

Counting isomorphism classes of superspecial curves Invited Reviewed

Momonari Kudo

RIMS Kokyuroku Bessatsu   B90   77 - 95   2022.6

Introduction to algebraic approaches for solving isogeny path-finding problems Invited Reviewed

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

RIMS Kokyuroku Bessatsu   B90   169 - 184   2022.6

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

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   2022.3

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

Momonari Kudo

Journal of Symbolic Computation   109   441 - 464   2022.3

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

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

Mathematical Cryptology   1 ( 2 )   10 - 24   2022.3

Introduction to Computational Algebraic Geometry Invited Reviewed

Momonari Kudo, Shushi Harashita

RIMS Kokyuroku Bessatsu   22 pages   2021.12

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

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   2021.8

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

Momonari Kudo, Shushi Harashita

MEGA 2021: Effective Methods in Algebraic Geometry   16 pages   2021.6

Algebraic approaches for solving isogeny problems of prime power degrees Reviewed

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

Journal of Mathematical Cryptology   15 ( 1 )   31 - 44   2021.1

Algorithms to enumerate superspecial Howe curves of genus four Reviewed International coauthorship

Momonari Kudo, Shushi Harashita, Everett Howe

Proceedings of the Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV), Open Book Series   4   2020.12

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

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   2020.10

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

Momonari Kudo, Shushi Harashita, Hayato Senda

Research in Number Theory   6 ( 4 )   17 pages   2020.10

Automorphism groups of superspecial curves of genus 4 over F11 Reviewed

Momonari Kudo, Shushi Harashita, Hayato Senda

Journal of Pure and Applied Algebra   224 ( 9 )   19 pages   2020.9

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

Momonari Kudo, Shushi Harashita

Tokyo Journal of Mathematics   43 ( 1 )   259 - 278   2020.6

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

Momonari Kudo

Communications in Algebra   47 ( 12 )   5020 - 5038   2019.7

Computing representation matrices for the Frobenius on cohomology groups Reviewed

Momonari Kudo

MEGA 2019: Effective Methods in Algebraic Geometry   32 pages   2019.6

Superspecial Hyperelliptic Curves of Genus 4 over Small Finite Fields Reviewed

Momonari Kudo, Shushi Harashita

Arithmetic of Finite Fields, WAIFI 2018, Lecture Notes in Computer Science   11321   58 - 73   2018.12

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

Momonari Kudo, Yuki Yokota, Yasushi Takahashi, Masaya Yasuda

Cryptology and Network Security, CANS 2018, LNCS   11124   377 - 393   2018.9

Cryptanalysis of a public key cryptosystem based on diophantine equations via weighted LLL reduction Reviewed International coauthorship

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

Japan Journal of Industrial and Applied Mathematics   35 ( 3 )   1123 - 1152   2018.6

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

Momonari Kudo, Yuki Yokota, Masaya Yasuda

The Tenth International Workshop on Coding and Cryptography 2017, WCC 2017   12 pages   2017.9

Enumerating Superspecial Curves of Genus 4 over Prime Fields Reviewed

Momonari Kudo, Shushi Harashita

The Tenth International Workshop on Coding and Cryptography 2017 (WCC2017)   10 pages   2017.9

Superspecial curves of genus 4 in small characteristic Reviewed

Momonari Kudo, Shushi Harashita

Finite Fields and Their Applications   45   131 - 169   2017.5

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

Momonari Kudo

Japan Journal of Industrial and Applied Mathematics   34 ( 1 )   1 - 40   2017.2

Practical Analysis of Key Recovery Attack against Search-LWE Problem Reviewed International coauthorship

Momonari Kudo, Junpei Yamaguchi, Yang Guo, Masaya Yasuda

Advances in Information and Computer Security, IWSEC 2016, Lecture Notes in Computer Science   9836   164 - 181   2016.9

Cryptanalysis of a Public Key Cryptosystem Based on Diophantine Equations via Weighted LLL Reduction Reviewed International coauthorship

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   2016.9

Excellent Poster Award

2015.10   Forum Math for Industry 2015  

Momonari Kudo