Laboratory of Mathematical Design for Advanced Cryptography

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Cryptography Engineering & Materials Science
Cryptosystem Mathematics
Attack Mathematics
Pairing Mathematics
Elliptic Curves Mathematics
Encryption Mathematics
Public-key Cryptosystem Mathematics
Scalar multiplication Mathematics

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Research Output 1997 2019

Polynomial time
Lattice Basis Reduction

Acceleration of index calculus for solving ECDLP over prime fields and its limitation

Kudo, M., Yokota, Y., Takahashi, Y. & Yasuda, M., Jan 1 2018, Cryptology and Network Security - 17th International Conference, CANS 2018, Proceedings. Papadimitratos, P. & Camenisch, J. (eds.). Springer Verlag, p. 377-393 17 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11124 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Discrete Logarithm Problem
Elliptic Curves

An efficient key generation of ZHFE public key cryptosystem

Ikematsu, Y., Duong, D. H., Petzoldt, A. & Takagi, T., Jan 2018, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E101A, 1, p. 29-38 10 p.

Research output: Contribution to journalArticle

Public-key Cryptosystem
Linear algebra