Yusuke Aikawa

Profile Information

Affiliation: The Graduate School of Information Science and Technology Department of Mathematical Informatics, The University of Tokyo

Degree: 博士（理学）(Mar, 2019, 北海道大学)

Contact information: aikawamist.i.u-tokyo.ac.jp
Researcher number: 70888578
J-GLOBAL ID: 202001001419559256
researchmap Member ID: R000010080

Research Interests

Research Areas

Research History

Apr, 2023 - Present

The Graduate School of Information Science and Technology Department of Mathematical Informatics, The University of Tokyo
Apr, 2022 - Mar, 2023

part-time lecturer, Rikkyo University
Apr, 2019 - Mar, 2023

研究員, 情報技術総合研究所, 三菱電機株式会社

Committee Memberships

Apr, 2022 - Dec, 2022

2022 IEEE International Comference on BigData (IEEE BigData2022) Industry and Government Program Committee
May, 2021 - May, 2021

量子情報技術研究会 QIT44実行委員会
Dec, 2019 - Dec, 2019

IACR Asiacrypt 2019 Local Committee
Apr, 2016 - Mar, 2017

第13回数学総合若手研究集会世話人
Apr, 2015 - May, 2016

第12回数学総合若手研究集会世話人

Papers

Hashing by Walking over Expanders: A Recipe for Constructing Provably Secure Hash Functions

Yusuke Aikawa

to appear, Jan, 2024 Peer-reviewed
Computing Endomorphism Rings of Supersingular Elliptic Curves by Finding Cycles in Concatenated Supersingular Isogeny Graphs

Yuta Kambe, Akira Katayama, Yusuke Aikawa, Yuki Ishihara, Masaya Yasuda, Kazuhiro Yokoyama

to appear in Commentarii mathematici Universitatis Sancti Pauli, Oct, 2023 Peer-reviewed
Isogeny graphs on superspecial abelian varieties: Eigenvalues and Connection to Bruhat-Tits buildings

Yusuke Aikawa, Ryokichi Tanaka, Takuya Yamauchi

to appear in Canadian Journal of Mathematics, Oct, 2023 Peer-reviewed
Left-Right Cayley Hashing: A New Framework for Provably Secure Hash Functions

Yusuke Aikawa, Hyungrok Jo, Shohei Satake

Mathematical Cryptology, 3(2) 53-65, Aug, 2023 Peer-reviewed
PPP/PPP-RTK Message Authentication

Ignacio Fernandez-Hernandez, Rui Hirokawa, Vincent Rijmen,, Yusuke Aikawa

NAVIGATION: Journal of the Institute of Navigation, 70(2) navi.579-navi.579, Mar 24, 2023 Peer-reviewedInvited
The Generalized Montgomery Coordinate: A New Computational Tool for Isogeny-based Cryptography

Tomoki Moriya, Hiroshi Onuki, Yusuke Aikawa, Tsuyoshi Takagi

Mathematical Cryptology, 2(1) 36-59, Oct, 2022 Peer-reviewed
Computational self-testing for entangled magic states

Akihiro Mizutani, Yuki Takeuchi, Ryo Hiromasa, Yusuke Aikawa, Seiichiro Tani

Physical Review A, 106(1), Jul 25, 2022 Peer-reviewed
Post-Quantum Cryptography from Supersingular Isogenies

Yusuke Aikawa

B90 97-116, Jun, 2022 Peer-reviewedInvited
Solving the Constructive Deuring Correspondence via the Kohel-Lauter-Petit-Tignol Algorithm

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

Mathematical Cryptology, 1(2) 10-24, Mar 27, 2022 Peer-reviewed
Implementation Report of the Kohel–Lauter–Petit–Tignol Algorithm for the Constructive Deuring Correspondence

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

Proceedings of the Seventh International Conference on Mathematics and Computing, 953-966, Mar, 2022 Peer-reviewed
PPP/PPP-RTK Message Authentication

Ignacio Fernandez-Hernandez, Rui Hirokawa, Vincent Rijmen, Yusuke Aikawa

Proceedings of the 34th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2021), 3711-3729, Oct 13, 2021 Peer-reviewed
An Efficient Authenticated Key Exchange from Random Self-reducibility on CSIDH

Tomoki Kawashima, Katsuyuki Takashima, Yusuke Aikawa, Tsuyoshi Takagi

Information Security and Cryptology – ICISC 2020, 58-84, Feb, 2021 Peer-reviewed
A Constant-Time Algorithm of CSIDH Keeping Two Points

Hiroshi Onuki, Yusuke Aikawa, Tsutomu Yamazaki, Tsuyoshi Takagi

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E103.A(10)(10) 1174-1182, Oct, 2020 Peer-reviewed
The Existence of Cycles in the Supersingular Isogeny Graphs Used in SIKE.

Hiroshi Onuki, Yusuke Aikawa, Tsuyoshi Takagi

International Symposium on Information Theory and Its Applications(ISITA), 358-362, 2020 Peer-reviewed
The bounds of the Mordell-Weil ranks in cyclotomic towers of function fields

Yusuke Aikawa

Journal of Number Theory, 202 332-346, Sep, 2019 Peer-reviewed
A Faster Constant-Time Algorithm of CSIDH Keeping Two Points

Hiroshi Onuki, Yusuke Aikawa, Tsutomu Yamazaki, Tsuyoshi Takagi

Proceedings of IWSEC 2019, LNCS (11689) 23-33, Aug, 2019 Peer-reviewed
Elliptic Curve Method Using Complex Multiplication Method

Yusuke Aikawa, Koji Nuida, Masaaki Shirase

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E102-A(1) 74-80, Jan, 2019 Peer-reviewed

Misc.

Revisiting the May--Meurer--Thomae Algorithm --- Solving McEliece-1409 in One Day

Shintaro Narisada, Shusaku Uemura, Hiroki Okada, Hiroki Furue, Yusuke Aikawa, Kazuhide Fukushima

Cryptology ePrint Archive 2024/393, Mar, 2024
Computing supersingular endomorphism rings and its application to finding isogeny paths via the Deuring correspondence

Yuta Kambe, Akira Katayama, Yusuke Aikawa, Yuki Ishihara, Masaya Yasuda, Kazuhiro Yokoyama

submitted, Oct, 2023
Lower bound of costs of formulas to compute image curves of 3-isogenies in the framework of generalized Montgomery coordinates

Tomoki Moriya, Hiroshi Onuki, Yusuke Aikawa, Tsuyoshi Takagi

submitted, Oct, 2023
Solving the supersingular isogeny problem over $\mathbb{F}_p$ via the Deuring correspondence

Yuta Kambe, Akira Katayama, Yusuke Aikawa, Yuki Ishihara, Masaya Yasuda, Kazuhiro Yokoyam

submitted, Aug, 2023

Presentations

Expander Hash Functions

相川勇輔

CREST クリプトマスワークショップ, Sep 8, 2023 Invited
エクスパンダーグラフに基づく暗号の進展とこれから

相川勇輔

「エクスパンダーグラフの新しい構成手法の確立とその応用 2」非公開講演会, Sep 6, 2023
Expander Families for Post-Quantum Cryptography

Yusuke Aikawa

Forum “Math-for- Industry” (FMfI) 2023, Aug 31, 2023 Invited
Left-Right Cayley Hashing

相川勇輔

離散数学とその応用研究集会 2023 ミニシンポジウム「符号・暗号・人口知能」, Aug 28, 2023 Invited
公開鍵暗号の発明から耐量子計算機暗号まで

相川勇輔

京都大学 MACSセミナー, Jun 30, 2023 Invited
Isogeny Graphs and Cryptography

相川勇輔

暗号及び情報セキュリティと数学の相関ワークショップ, Dec 22, 2022 Invited
Mathematics of Post-Quantum Cryptography

Yusuke Aikawa

RIKEN iTHEMS Math Seminar, Nov 18, 2022 Invited
整数論で守るポスト量子社会のセキュリティ

相川勇輔

JST数学関連3領域連携WS「情報科学と拓く新しい数理科学」, Sep 12, 2022 Invited
エクスパンダーグラフ in 耐量子計算機暗号

相川勇輔

「エクスパンダーグラフの新しい構成手法の確立とその応用」非公開講演会, Aug 24, 2022 Invited
同種写像暗号１：楕円曲線と同種写像グラフ

相川勇輔

耐量子計算機暗号と量子情報の数理, Aug 2, 2022
暗号数理入門

相川勇輔

耐量子計算機暗号と量子情報の数理, Aug 1, 2022
超特異楕円曲線を用いた耐量子計算機暗号の数理とその進展

相川勇輔

東京大学大学院数理科学研究科情報数学セミナー, Jan 27, 2022 Invited
量子コンピュータ時代に向けた次世代暗号技術をそれを支える数学

相川勇輔

立命館大学産業における数理科学セミナー, Nov 4, 2021 Invited
量子コンピュータ社会における次世代暗号技術

相川勇輔

愛媛大学データサイエンス研究セミナー, Sep 28, 2021 Invited
同種写像暗号の数理

相川勇輔

九州大学 IMI暗号学セミナー, Jul 14, 2021 Invited
同種写像暗号の数理

相川勇輔

京都量子暗号ワークショップ, Mar 16, 2021 Invited
Post-quantum cryptography from supersingular isogenies

Yusuke Aikawa

Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties, Oct 14, 2020 Invited
楕円曲線の素因数分解アルゴリズムと耐量子暗号への応用

相川勇輔

東京工業大学数論・幾何学セミナー, Oct 26, 2019 Invited
Elliptic curve method with complex multiplication method

相川勇輔

代数的手法による数理暗号解析, Feb 6, 2018 Invited
The Bounds of the Ranks of Elliptic Curves in Towers of Function Fields

Dec 21, 2017 Invited

Teaching Experience

Sep, 2022 - Mar, 2023

Information Science 4 (Rikkyo University)
Sep, 2022 - Mar, 2023

Information Science 2 (Rikkyo University)
Apr, 2022 - Sep, 2022

Information Science 3 (Rikkyo University)
Apr, 2022 - Sep, 2022

Information Science 1 (Rikkyo University)
Apr, 2021 - Apr, 2021

数理工学概論２ (武蔵野大学)
Apr, 2018 - Aug, 2018

微分積分学I (北海学園大学)

Professional Memberships

Oct, 2022 - Present

日本数学会
応用数理学会

Research Projects

エクスパンダーグラフに基づく耐量子計算機暗号の開発と高安全・高効率パラメータ設計

科学研究費助成事業, 若手研究, 日本学術振興会, Apr, 2024 - Mar, 2027

相川勇輔
Investigation and exploration of mathematical solutions for isogeny problems with auxiliary information

Grants-in-Aid for Scientific Research, Grant-in-Aid for Challenging Research (Exploratory), Japan Society for the Promotion of Science, Jun, 2023 - Mar, 2026
Toward a new method for constructing expander graphs and their applications 3

Joint Research Center for Advanced and Fundamental Mathematics-for-Industry, Grant for Young Researchers and Students-Short-term Joint Research, Sep, 2024 - Sep, 2024

Shohei Satake, Yusuke Aikawa, Yasuhiko Ikematsu, Hyungrok Jo, Masato Mimura, Cid Reyes Bustos
耐量子計算機暗号の社会実装に向けた数理基盤の研究

共同利用・共同研究拠点「産業数学の先進的・基礎的共同研究拠点」, 若手・学生研究-短期共同研究, 九州大学マス・フォア・インダストリ研究所, Jul, 2024 - Jul, 2024

相川勇輔, 池松泰彦, 成定真太郎
Mathematics of Next-Generation Cryptography for Secure Utilization of Quantum Information

Kyushu University Institute of Mathematics for industry, Aug, 2022 - Aug, 2022
A study on the Application of Lattice-based Cryptography

Kyushu University Institute of Mathematics for industry, Nov, 2021 - Nov, 2021
A number theoretic approach for Post-Quantum Cryptography related to Ramanujan graphs

Kyushu University Institute of Mathematics for industry, Aug, 2021 - Sep, 2021
Study on the security and efficiency of post quantum cryptography from elliptic curves

Strategic Basic Research Programs (ACT-X), Japan Science and Technology Agency, Nov, 2020

Yusuke AIkawa

Industrial Property Rights

特開2022-186295 古典計算機、情報処理方法及び情報処理プログラム

Academic Activities

Mathematics of Post Quantum Cryptography and Quantum Information

Planning, management, etc.

Yusuke Aikawa, Aug 1, 2022 - Aug 4, 2022
新世代暗号の設計・評価

Planning, management, etc.

IMI共同利用研究（代表：王イントウ）, Nov 16, 2021 - Nov 17, 2021
同種写像理論とその暗号への応用

Planning, management, etc.

IMI共同利用研究（代表：Jo Hyungrok）, Aug 30, 2021 - Aug 30, 2021
第44回量子情報技術研究会 (QIT44)

Planning, management, etc.

量子情報技術特別研究専門委員会（委員長小芦雅斗（東京大学））, May 24, 2021 - May 25, 2021

Profile Information

Research Interests

Research Areas

Research History

Committee Memberships

Papers

Misc.

Presentations

Teaching Experience

Professional Memberships

Research Projects

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