Title
Decoding Hermitian Codes with Sudan's Algorithm
Abstract
We present an efficient implementation of Sudan's algorithm for list decoding Hermitian codes beyond half the minimum distance. The main ingredients are an explicit method to calculate so-called increasing zero bases, an efficient interpolation algorithm for finding the Q- polynomial, and a reduction of the problemof factoring the Q-polynomial to the problem of factoring a univariate polynomial over a large finite field.
Year
DOI
Venue
1999
10.1007/3-540-46796-3_26
AAECC
Keywords
Field
DocType
minimum distance,main ingredient,explicit method,univariate polynomial,hermitian code,decoding hermitian codes,zero base,large finite field,efficient interpolation algorithm,efficient implementation,list decoding,finite field
Polynomial,Interpolation,Cyclic code,Hermitian function,List decoding,Discrete mathematics,Combinatorics,Finite field,Algebra,Algorithm,Factorization,Hermitian matrix,Mathematics
Conference
Volume
ISSN
ISBN
1719
0302-9743
3-540-66723-7
Citations 
PageRank 
References 
23
3.99
6
Authors
2
Name
Order
Citations
PageRank
Tom Høholdt118628.53
R. Refslund Nielsen2365.41