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» Factoring in Skew-Polynomial Rings over Finite Fields
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AAECC
1997
Springer
115views Algorithms» more  AAECC 1997»
13 years 9 months ago
Efficient Multivariate Factorization over Finite Fields
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...
Laurent Bernardin, Michael B. Monagan
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 4 months ago
Factoring Polynomials over Finite Fields using Balance Test
We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time ...
Chandan Saha
STOC
1995
ACM
135views Algorithms» more  STOC 1995»
13 years 8 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
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
13 years 9 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
ICISC
2000
126views Cryptology» more  ICISC 2000»
13 years 6 months ago
Cryptographic Applications of Sparse Polynomials over Finite Rings
Abstract. This paper gives new examples that exploit the idea of using sparse polynomials with restricted coefficients over a finite ring for designing fast, reliable cryptosystems...
William D. Banks, Daniel Lieman, Igor Shparlinski,...