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ASIACRYPT
2000
Springer
13 years 9 months ago
Cryptanalysis of the TTM Cryptosystem
Abstract. In 1985 Fell and Diffie proposed constructing trapdoor functions with multivariate equations [11]. They used several sequentially solved stages. Another idea of building ...
Louis Goubin, Nicolas Courtois
ASIACRYPT
2001
Springer
13 years 8 months ago
Efficient Zero-Knowledge Authentication Based on a Linear Algebra Problem MinRank
A Zero-knowledge protocol provides provably secure entity authentication based on a hard computational problem. Among many schemes proposed since 1984, the most practical rely on f...
Nicolas Courtois
PKC
2007
Springer
151views Cryptology» more  PKC 2007»
13 years 11 months ago
Cryptanalysis of HFE with Internal Perturbation
Abstract. Multivariate Cryptography has been an active line of research for almost twenty years. While most multivariate cryptosystems have been under attack, variations of the bas...
Vivien Dubois, Louis Granboulan, Jacques Stern
ACISP
2004
Springer
13 years 10 months ago
Theoretical Analysis of XL over Small Fields
Abstract. XL was first introduced to solve determined or overdetermined systems of equations over a finite field as an “algebraic attack” against multivariate cryptosystems....
Bo-Yin Yang, Jiun-Ming Chen