Laboratory of Mathematical Design for Advanced Cryptography

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

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Research Output 1997 2019

Insertion
Polynomial time
Lattice Basis Reduction
Polynomials
Output

An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme

Ikematsu, Y., Akiyama, K. & Takagi, T., Mar 8 2019, Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018. Institute of Electrical and Electronics Engineers Inc., p. 389-393 5 p. 8664254. (Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018).

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

Cryptography
Recovery
Polynomials
Experiments

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