Laboratory of Mathematical Design for Advanced Cryptography

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

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Research Output 1997 2018

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
Gröbner Basis
Polynomials

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
2 Citations

An experimental study of Kannan’s embedding technique for the search LWE problem

Wang, Y., Aono, Y. & Takagi, T., Jan 1 2018, Information and Communications Security - 19th International Conference, ICICS 2017, Proceedings. Springer Verlag, p. 541-553 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10631 LNCS).

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

Experimental Study
Enumeration
Learning
Lattice Reduction
Experimental Results