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CRYPTO
2005
Springer
104views Cryptology» more  CRYPTO 2005»
14 years 2 months ago
On the Discrete Logarithm Problem on Algebraic Tori
Abstract. Using a recent idea of Gaudry and exploiting rational representations of algebraic tori, we present an index calculus type algorithm for solving the discrete logarithm pr...
Robert Granger, Frederik Vercauteren
INFORMATICALT
2007
104views more  INFORMATICALT 2007»
13 years 9 months ago
Key Agreement Protocol (KAP) Using Conjugacy and Discrete Logarithm Problems in Group Representation Level
The key agreement protocol based on infinite non-commutative group presentation and representation levels is proposed. Two simultaneous problems in group representation level are ...
Eligijus Sakalauskas, Povilas Tvarijonas, Andrius ...
PKC
2010
Springer
234views Cryptology» more  PKC 2010»
13 years 11 months ago
Solving a 676-Bit Discrete Logarithm Problem in GF(36n)
Abstract. Pairings on elliptic curves over finite fields are crucial for constructing various cryptographic schemes. The T pairing on supersingular curves over GF(3n ) is particula...
Takuya Hayashi, Naoyuki Shinohara, Lihua Wang, Shi...
ANTS
2000
Springer
133views Algorithms» more  ANTS 2000»
14 years 1 months ago
Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem
Abstract. Essentially all subexponential time algorithms for the discrete logarithm problem over nite elds are based on the index calculus idea. In proposing cryptosystems based on...
Ming-Deh A. Huang, Ka Lam Kueh, Ki-Seng Tan
IIWAS
2004
13 years 10 months ago
An Efficient Group Signature Based on the Discrete Logarithm Problem
Group signature schemes permit a group member signing on messages anonymously and unlinkably on behalf of a group. The anonymity can be revoked when arguments occurred. This paper...
Fuw-Yi Yang, Jinn-ke Jan