Research field (2):
Information security
, Algebra
Research keywords (5):
Information Security
, Public Key Cryptography
, Post Quantum Cryptography
, Code-based Cryptography
, Isogeny-based Cryptography
Research theme for competitive and other funds (8):
2023 - 2026 Investigation and exploration of mathematical solutions for isogeny problems with auxiliary information
2024 - 2024 Toward a new method for constructing expander graphs and their applications 3
2024 - 2024 耐量子計算機暗号の社会実装に向けた数理基盤の研究
2022 - 2022 Mathematics of Next-Generation Cryptography for Secure Utilization of Quantum Information
2021 - 2021 A study on the Application of Lattice-based Cryptography
2021 - 2021 A number theoretic approach for Post-Quantum Cryptography related to Ramanujan graphs
2020 - Study on the security and efficiency of post quantum cryptography from elliptic curves
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Papers (20):
Shota Inoue, Yusuke Aikawa, Tsuyoshi Takagi. A faster variant of CGL hash function via efficient backtracking checks. to appear in Information Security Conference 2024. 2024
Shintaro Narisada, Shusaku Uemura, Hiroki Okada, Hiroki Furue, Yusuke Aikawa, Kazuhide Fukushima. Solving McEliece-1409 in One Day - Cryptanalysis with the Improved BJMM Algorithm. to appear in Information Security Conference 2024. 2024
Naoki Yoshiguchi, Yusuke Aikawa, Tsuyoshi Takagi. Sieving Method for SDP with the Zero Window: An Improvement in Low Memory Environments. to appear in IWSEC 2024. 2024
Yusuke Aikawa. Hashing by Walking over Expanders: A Recipe for Constructing Provably Secure Hash Functions. to appear. 2024
Yuta Kambe, Akira Katayama, Yusuke Aikawa, Yuki Ishihara, Masaya Yasuda, Kazuhiro Yokoyama. Computing Endomorphism Rings of Supersingular Elliptic Curves by Finding Cycles in Concatenated Supersingular Isogeny Graphs. to appear in Commentarii mathematici Universitatis Sancti Pauli. 2023
Tomoki Moriya, Hiroshi Onuki, Yusuke Aikawa, Tsuyoshi Takagi. Lower bound of costs of formulas to compute image curves of 3-isogenies in the framework of generalized Montgomery coordinates. submitted. 2023
Patents (1):
古典計算機、情報処理方法及び情報処理プログラム
Lectures and oral presentations (22):
Mathematical Cryptology
(Catch-all Math Colloquium Japan 2024)