FFA
2010
13 years 8 months ago
2010
Various results on parity of the number of irreducible factors of given polynomials over finite fields have been obtained in the recent literature. Those are mainly based on Swan&...
FOCS
2010
IEEE
13 years 8 months ago
2010
IEEE
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
CORR
2010
Springer
13 years 10 months ago
2010
Springer
We propose different implementations of the sparse matrix
CORR
2010
Springer
13 years 10 months ago
2010
Springer
We study matroidal networks introduced by Dougherty et al., who showed that if a network is scalar-linearly solvable over some finite field, then the network is a matroidal network...
PC
2002
13 years 10 months ago
2002
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
MOC
2002
13 years 10 months ago
2002
Recently, several algorithms have been suggested for solving the discrete logarithm problem in the Jacobians of high-genus hyperelliptic curves over finite fields. Some of them hav...
MOC
2000
13 years 10 months ago
2000
We describe an adaptation of the number field sieve to the problem of computing logarithms in a finite field. We conjecture that the running time of the algorithm, when restricted ...
MOC
2000
13 years 10 months ago
2000
These tables record results on curves with many points over finite fields. For relatively small genus (0 g 50) and q a small power of 2 or 3 we give in two tables the best presen...
MOC
2000
13 years 10 months ago
2000
We improve on a lattice algorithm of Tezuka for the computation of the k-distribution of a class of random number generators based on finite fields. We show how this is applied to ...
CORR
2004
Springer
13 years 10 months ago
2004
Springer
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...