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» Cryptosystems using Linear Groups
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PKC
2005
Springer
114views Cryptology» more  PKC 2005»
15 years 3 months ago
Cryptanalysis of the Tractable Rational Map Cryptosystem
In this paper, we present the cryptanalysis of a public key scheme based on a system of multivariate polynomial equations, the ”tractable rational map” cryptosystem. We show co...
Antoine Joux, Sébastien Kunz-Jacques, Fr&ea...
CORR
2006
Springer
182views Education» more  CORR 2006»
14 years 10 months ago
Cryptanalysis of the CFVZ cryptosystem
The paper analyzes CFVZ, a new public key cryptosystem whose security is based on a matrix version of the discrete logarithm problem over an elliptic curve. It is shown that the co...
Joan-Josep Climent, E. Gorla, J. Rosenthal
SYNASC
2007
IEEE
142views Algorithms» more  SYNASC 2007»
15 years 4 months ago
An Extension of the RSA Trapdoor in a KEM/DEM Framework
A trapdoor based on an extension of the RSA trapdoor is proposed. The same function as in the RSA cryptosystem is used, i.e. x modn, but there is no restriction for the exponent t...
Bogdan Groza
ACISP
2005
Springer
15 years 3 months ago
Building Secure Tame-like Multivariate Public-Key Cryptosystems: The New TTS
Abstract. Multivariate public-key cryptosystems (sometimes polynomial-based PKC’s or just multivariates) handle polynomials of many variables over relatively small fields instea...
Bo-Yin Yang, Jiun-Ming Chen
EUROCRYPT
2001
Springer
15 years 2 months ago
Evidence that XTR Is More Secure than Supersingular Elliptic Curve Cryptosystems
Abstract. We show that finding an efficiently computable injective homomorphism from the XTR subgroup into the group of points over GF(p2 ) of a particular type of supersingular e...
Eric R. Verheul