Sciweavers

27 search results - page 5 / 6
» Fast Construction of Irreducible Polynomials over Finite Fie...
Sort
View
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
14 years 8 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...
STOC
2009
ACM
143views Algorithms» more  STOC 2009»
14 years 8 months ago
Affine dispersers from subspace polynomials
An affine disperser over Fn 2 for sources of dimension d is a function f : Fn 2 F2 such that for any affine space S Fn 2 of dimension at least d, we have {f(s) : s S} = F2. Aff...
Eli Ben-Sasson, Swastik Kopparty
CORR
2008
Springer
162views Education» more  CORR 2008»
13 years 7 months ago
Compressed Modular Matrix Multiplication
Matrices of integers modulo a small prime can be compressed by storing several entries into a single machine word. Modular addition is performed by addition and possibly subtracti...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
TIT
2008
164views more  TIT 2008»
13 years 7 months ago
Cryptographic Hardness Based on the Decoding of Reed-Solomon Codes
We investigate the decoding problem of Reed-Solomon (RS) Codes, also known as the Polynomial Reconstruction Problem (PR), from a cryptographic hardness perspective. Namely, we dea...
Aggelos Kiayias, Moti Yung
ICC
2007
IEEE
127views Communications» more  ICC 2007»
14 years 1 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. ...