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» Practical polynomial factoring in polynomial time
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ISSAC
2009
Springer
123views Mathematics» more  ISSAC 2009»
14 years 1 months ago
Schemes for deterministic polynomial factoring
In this work we relate the deterministic complexity of factoring polynomials (over finite fields) to certain combinatorial objects, we call m-schemes, that are generalizations o...
Gábor Ivanyos, Marek Karpinski, Nitin Saxen...
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
13 years 6 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»
14 years 1 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
IEICET
2008
84views more  IEICET 2008»
13 years 7 months ago
Factorization of Square-Free Integers with High Bits Known
Abstract. In this paper we propose an algorithm of factoring any integer N which has k different prime factors with the same bit-length, when ( 1 k+2 + k(k-1) ) log N high-order bi...
Bagus Santoso, Noboru Kunihiro, Naoki Kanayama, Ka...
CCCG
2006
13 years 8 months ago
An Improved Approximation Factor For The Unit Disk Covering Problem
We present a polynomial time algorithm for the unit disk covering problem with an approximation factor 72, and show that this is the best possible approximation factor based on th...
Sada Narayanappa, Petr Vojtechovský