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ISSAC
2004
Springer
94views Mathematics» more  ISSAC 2004»
13 years 10 months ago
Algorithms for polynomial GCD computation over algebraic function fields
Let L be an algebraic function field in k ≥ 0 parameters t1, . . . , tk. Let f1, f2 be non-zero polynomials in L[x]. We give two algorithms for computing their gcd. The first,...
Mark van Hoeij, Michael B. Monagan
ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
13 years 11 months ago
A sparse modular GCD algorithm for polynomials over algebraic function fields
We present a first sparse modular algorithm for computing a greatest common divisor of two polynomials f1, f2 ∈ L[x] where L is an algebraic function field in k ≥ 0 paramete...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan
DCC
2006
IEEE
14 years 4 months ago
A New Characterization of Semi-bent and Bent Functions on Finite Fields*
We present a new characterization of semi-bent and bent quadratic functions on finite fields. First, we determine when a GF(2)-linear combination of Gold functions Tr(x2i +1 ) is ...
Khoongming Khoo, Guang Gong, Douglas R. Stinson
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
13 years 3 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
ISSAC
2009
Springer
269views Mathematics» more  ISSAC 2009»
13 years 11 months ago
On factorization of multivariate polynomials over algebraic number and function fields
We present an efficient algorithm for factoring a multivariate polynomial f ∈ L[x1, . . . , xv] where L is an algebraic function field with k ≥ 0 parameters t1, . . . , tk an...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan