205 search results - page 9 / 41 » Complexity of Polynomial Multiplication over Finite Fields |
HPCS
2009
IEEE
13 years 11 months ago
2009
IEEE
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
FOCM
2008
13 years 7 months ago
2008
Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...
ANTS
2008
Springer
13 years 9 months ago
2008
Springer
We present and analyze two algorithms for computing the Hilbert class polynomial HD. The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < ...
AAECC
1997
Springer
13 years 11 months ago
1997
Springer
We describe the Maple [23] implementation of multivariate factorization over general finite fields. Our first implementation is available in Maple V Release 3. We give selected det...
FOCS
1998
IEEE
13 years 11 months ago
1998
IEEE
The properties of any system of k simultaneous equations in n variables over GF(q), are studied, with a particular emphasis on unsatisfiable systems. A general formula for the num...