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» On multiplication in finite fields
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127
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ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
15 years 6 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
119
Voted
STOC
1995
ACM
135views Algorithms» more  STOC 1995»
15 years 5 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»
15 years 5 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
98
Voted
SODA
2004
ACM
88views Algorithms» more  SODA 2004»
15 years 3 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