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» On the Complexity of the Interlace Polynomial
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ICC
2007
IEEE
116views Communications» more  ICC 2007»
16 years 15 days ago
Interference Detection in Spread Spectrum Communication Using Polynomial Phase Transform
—In this paper we propose an interference detection technique for detecting time varying jamming signals in spread spectrum communication systems. The technique is based on Discr...
Randa Zarifeh, Nandini Alinier, Sridhar Krishnan, ...
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
15 years 11 months ago
Absolute polynomial factorization in two variables and the knapsack problem
A recent algorithmic procedure for computing the absolute factorization of a polynomial P(X, Y ), after a linear change of coordinates, is via a factorization modulo X3 . This was...
Guillaume Chèze
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
15 years 10 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
15 years 4 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
TIT
2010
98views Education» more  TIT 2010»
15 years 26 days ago
QR decomposition of Laurent polynomial matrices sampled on the unit circle
Abstract--We consider Laurent polynomial (LP) matrices defined on the unit circle of the complex plane. QR decomposition of an LP matrix A(s) yields QR factors Q(s) and R(s) that, ...
Davide Cescato, Helmut Bölcskei