Laboratory of Mathematical Design for Advanced Cryptography

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

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Research Output 1997 2019

Insertion
Polynomial time
Lattice Basis Reduction
Polynomials
Output

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
Calculus
Polynomials
Summation

An efficient key generation of ZHFE public key cryptosystem

Ikematsu, Y., Duong, D. H., Petzoldt, A. & Takagi, T., Jan 1 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
Cryptography
Linear algebra
Cryptosystem
Encryption