Paper Info
Title
A Simple Proof Of Horiguchi'S Error-Value Formula In Decoding Of Alternant Codes And Its Applications
Abstract
A direct short proof of Horiguchi's formula for error values in alternant codes is provided. Horiguchi's formula employs only output polynomials of Berlekamp-Massey algorithm, which has less computational complexity than extended Euclidean algorithm for decoding alternant codes. As an application of our proof, we provide an explicit formula for the generator and parity check matrices of alternant codes and their singly-and doubly-extended codes.
Year
DOI
Venue
2009
10.1587/transfun.E92.A.2146
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
Berlekamp-Massey algorithm, generalized RS codes, BCH codes, error evaluation, fast decoding
Discrete mathematics,Combinatorics,BCJR algorithm,Berlekamp–Welch algorithm,Sequential decoding,Parity-check matrix,Block code,Extended Euclidean algorithm,BCH code,Berlekamp–Massey algorithm,Mathematics
Journal
Volume
Issue
ISSN
E92A
8
0916-8508
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
matsui100.68
Hajime Matsui2188.14