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» On multiplication in finite fields
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ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
13 years 11 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
STOC
1995
ACM
135views Algorithms» more  STOC 1995»
13 years 11 months ago
Subquadratic-time factoring of polynomials over finite fields
New probabilistic algorithms are presented for factoring univariate polynomials over finite fields. The algorithms factor a polynomial of
Erich Kaltofen, Victor Shoup
STOC
1991
ACM
87views Algorithms» more  STOC 1991»
13 years 11 months ago
Constructing Nonresidues in Finite Fields and the Extended Riemann Hypothesis
We describe a new deterministic algorithm for the problem of constructing k-th
Johannes Buchmann, Victor Shoup
SODA
2004
ACM
88views Algorithms» more  SODA 2004»
13 years 8 months ago
Constructing finite field extensions with large order elements
In this paper, we present an algorithm that given a fixed prime power q and a positive integer N, finds an integer n [N, 2qN] and an element Fqn of order greater than 5.8n/ log...
Qi Cheng