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...
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...
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 ...
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...
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...