Sciweavers

14 search results - page 1 / 3
» The Function Field Sieve in the Medium Prime Case
Sort
View
EUROCRYPT
2006
Springer
14 years 2 months ago
The Function Field Sieve in the Medium Prime Case
In this paper, we study the application of the function field sieve algorithm for computing discrete logarithms over finite fields of the form Fqn when q is a medium-sized prime po...
Antoine Joux, Reynald Lercier
CRYPTO
2006
Springer
115views Cryptology» more  CRYPTO 2006»
14 years 2 months ago
The Number Field Sieve in the Medium Prime Case
Antoine Joux, Reynald Lercier, Nigel P. Smart, Fre...
PKC
2010
Springer
234views Cryptology» more  PKC 2010»
14 years 28 days 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...
MOC
2010
13 years 5 months ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer
ANTS
2004
Springer
121views Algorithms» more  ANTS 2004»
14 years 4 months ago
Function Field Sieve in Characteristic Three
In this paper we investigate the efficiency of the function field sieve to compute discrete logarithms in the finite fields F3n . Motivated by attacks on identity based encrypti...
Robert Granger, Andrew J. Holt, Dan Page, Nigel P....