Sciweavers

11 search results - page 2 / 3
» A sparse modular GCD algorithm for polynomials over algebrai...
Sort
View
IJNSEC
2010
324views more  IJNSEC 2010»
13 years 1 months ago
Computing the Modular Inverse of a Polynomial Function over GF(2P) Using Bit Wise Operation
Most public key crypto systems use finite field modulo arithmetic. This modulo arithmetic is applied on real numbers, binary values and polynomial functions. The computation cost ...
Rajaram Ramasamy, Amutha Prabakar Muniyandi
ESA
2000
Springer
84views Algorithms» more  ESA 2000»
13 years 9 months ago
On Representations of Algebraic-Geometric Codes for List Decoding
Abstract. We show that all algebraic-geometric codes possess a succinct representation that allows for the list decoding algorithms of [15, 7] to run in polynomial time. We do this...
Venkatesan Guruswami, Madhu Sudan
SETA
2004
Springer
126views Mathematics» more  SETA 2004»
13 years 11 months ago
Algebraic Feedback Shift Registers Based on Function Fields
We study algebraic feedback shift registers (AFSRs) based on quotients of polynomial rings in several variables over a finite field. These registers are natural generalizations o...
Andrew Klapper
ISSAC
2007
Springer
153views Mathematics» more  ISSAC 2007»
14 years 9 days ago
On exact and approximate interpolation of sparse rational functions
The black box algorithm for separating the numerator from the denominator of a multivariate rational function can be combined with sparse multivariate polynomial interpolation alg...
Erich Kaltofen, Zhengfeng Yang
ICC
2007
IEEE
127views Communications» more  ICC 2007»
14 years 14 days 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. ...