Research Output per year

## Fingerprint Dive into the research topics where Laboratory of Mathematical Design for Advanced Cryptography is active. These topic labels come from the works of this organisation's members. Together they form a unique fingerprint.

Cryptography
Engineering & Materials Science

Elliptic Curves
Mathematics

Attack
Mathematics

Cryptosystem
Mathematics

Pairing
Mathematics

Public-key Cryptosystem
Mathematics

Discrete Logarithm Problem
Mathematics

Encryption
Mathematics

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## Research Output 1997 2019

### A new polynomial-time variant of LLL with deep insertions for decreasing the squared-sum of Gram–Schmidt lengths

Yasuda, M. & Yamaguchi, J., Jan 1 2019, In : Designs, Codes, and Cryptography.Research output: Contribution to journal › Article

Insertion

Polynomial time

Lattice Basis Reduction

Polynomials

Output

### The secure parameters and efficient decryption algorithm for multivariate public key cryptosystem EFC

Wang, Y., Ikematsu, Y., Duong, D. H. & Takagi, T., Jan 1 2019, In : IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E102A, 9, p. 1028-1036 9 p.Research output: Contribution to journal › Article

Public-key Cryptosystem

Field extension

Cancellation

Cryptography

Efficient Algorithms

### 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 proceeding › Conference contribution

Discrete Logarithm Problem

Elliptic Curves

Calculus

Polynomials

Summation