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PKC
2010
Springer
234views Cryptology» more  PKC 2010»
13 years 9 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...
EUROCRYPT
2000
Springer
13 years 11 months ago
An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
Pierrick Gaudry
COCOON
2000
Springer
13 years 12 months ago
Recent Progress and Prospects for Integer Factorisation Algorithms
The integer factorisation and discrete logarithm problems are of practical importance because of the widespread use of public key cryptosystems whose security depends on the presum...
Richard P. Brent
INDOCRYPT
2007
Springer
14 years 1 months ago
Solving Discrete Logarithms from Partial Knowledge of the Key
Abstract. For elliptic curve based cryptosystems, the discrete logarithm problem must be hard to solve. But even when this is true from a mathematical point of view, side-channel a...
K. Gopalakrishnan, Nicolas Thériault, Chui ...
IJNSEC
2011
78views more  IJNSEC 2011»
13 years 2 months ago
Multi-authority Electronic Voting Scheme Based on Elliptic Curves
In this paper, a new multi authority electronic voting scheme based on elliptic curves is proposed. According to the proposed scheme, each voter casts the vote as a point on the e...
Chinniah Porkodi, Ramalingam Arumuganathan, Krishn...