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» Complexity of Polynomial Multiplication over Finite Fields
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DCC
1999
IEEE
13 years 7 months ago
A General Polynomial Sieve
An important component of the index calculus methods for finding discrete logarithms is the acquisition of smooth polynomial relations. Gordon and McCurley (1992) developed a sieve...
Shuhong Gao, Jason Howell
IJNSEC
2010
105views more  IJNSEC 2010»
13 years 2 months ago
A Note on the Constructions of Orthomorphic Permutations
Orthomorphic permutations have important applications in the design of block ciphers. A practical algorithm is derived to generate all orthomorphic permutations over Fm 2 , and it...
Jianqin Zhou
JOC
2010
96views more  JOC 2010»
13 years 2 months ago
On the Efficient Generation of Prime-Order Elliptic Curves
We consider the generation of prime-order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
ECCC
2010
86views more  ECCC 2010»
13 years 7 months ago
On Approximating the Entropy of Polynomial Mappings
We investigate the complexity of the following computational problem: Polynomial Entropy Approximation (PEA): Given a low-degree polynomial mapping p : Fn Fm , where F is a finite...
Zeev Dvir, Dan Gutfreund, Guy N. Rothblum, Salil P...
DLT
2009
13 years 5 months ago
On the Complexity of Deciding Avoidability of Sets of Partial Words
Blanchet-Sadri et al. have shown that Avoidability, or the problem of deciding the avoidability of a finite set of partial words over an alphabet of size k 2, is NP-hard [Theoret...
Brandon Blakeley, Francine Blanchet-Sadri, Josh Gu...