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» Parallel sparse polynomial interpolation over finite fields
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TC
2008
13 years 4 months ago
Low-Complexity Bit-Parallel Square Root Computation over GF(2^{m}) for All Trinomials
In this contribution we introduce a low-complexity bit-parallel algorithm for computing square roots over binary extension fields. Our proposed method can be applied for any type ...
Francisco Rodríguez-Henríquez, Guill...
PC
2002
158views Management» more  PC 2002»
13 years 4 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch
DCC
2010
IEEE
12 years 11 months ago
Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Nathan Drake, Gretchen L. Matthews
HPCS
2009
IEEE
13 years 8 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie
ICC
2007
IEEE
127views Communications» more  ICC 2007»
13 years 11 months ago
Efficient Factorisation Algorithm for List Decoding Algebraic-Geometric and Reed-Solomon Codes
— The list decoding algorithm can outperform the conventional unique decoding algorithm by producing a list of candidate decoded messages. An efficient list decoding algorithm fo...
L. Chen, Rolando A. Carrasco, Martin Johnston, E. ...