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 (17):
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
Yusuke Aikawa, Ryokichi Tanaka, Takuya Yamauchi. Isogeny graphs on superspecial abelian varieties: Eigenvalues and Connection to Bruhat-Tits buildings. to appear in Canadian Journal of Mathematics. 2023
Yusuke Aikawa, Hyungrok Jo, Shohei Satake. Left-Right Cayley Hashing: A New Framework for Provably Secure Hash Functions. Mathematical Cryptology. 2023. 3. 2. 53-65
Ignacio Fernandez-Hernandez, Rui Hirokawa, Vincent Rijmen,, Yusuke Aikawa. PPP/PPP-RTK Message Authentication. NAVIGATION: Journal of the Institute of Navigation. 2023. 70. 2. navi.579-navi.579
Shintaro Narisada, Shusaku Uemura, Hiroki Okada, Hiroki Furue, Yusuke Aikawa, Kazuhide Fukushima. Revisiting the May--Meurer--Thomae Algorithm --- Solving McEliece-1409 in One Day. Cryptology ePrint Archive 2024/393. 2024
Yuta Kambe, Akira Katayama, Yusuke Aikawa, Yuki Ishihara, Masaya Yasuda, Kazuhiro Yokoyama. Computing supersingular endomorphism rings and its application to finding isogeny paths via the Deuring correspondence. submitted. 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
Yuta Kambe, Akira Katayama, Yusuke Aikawa, Yuki Ishihara, Masaya Yasuda, Kazuhiro Yokoyam. Solving the supersingular isogeny problem over $\mathbb{F}_p$ via the Deuring correspondence. submitted. 2023