Research field (1)：
Applied mathematics and statistics
Research keywords (2)：
Algorithmic number theory
, Isogeny-based cryptography
Research theme for competitive and other funds (2)：
2024 - 2027 同種写像暗号への応用を目指した高次元同種写像計算アルゴリズムの構成
2021 - 2024 同種写像問題の困難性に基づく耐量子計算機暗号の安全性解析
Papers (20)：
Hiroshi Onuki. Primality proving using elliptic curves with complex multiplication by imaginary quadratic fields of class number three. Finite Fields and Their Applications. 2024
Tomoki Moriya, Hiroshi Onuki, Maozhi Xu, Guoqing Zhou. Adaptive Attacks Against FESTA Without Input Validation or Constant-Time Implementation. Post-Quantum Cryptography. 2024
Tomoki Moriya, Hiroshi Onuki, Tsuyoshi Takagi. How to construct CSIDH on Edwards curves. Finite Fields and Their Applications. 2023
Kohei Nakagawa, Hiroshi Onuki, Atsushi Takayasu, Tsuyoshi Takagi. L1-norm ball for CSIDH: Optimal strategy for choosing the secret key space. Discret. Appl. Math. 2023. 328. 70-88
Saki Otsuki, Hiroshi Onuki, Tsuyoshi Takagi. Improvement of the square-root Vélu's formulas for isogeny-based cryptography. JSIAM Letters. 2023
