The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
É fornecida uma breve prova direta da fórmula de Horiguchi para valores de erro em códigos alternativos. A fórmula de Horiguchi emprega apenas polinômios de saída do algoritmo Berlekamp-Massey, que tem menos complexidade computacional do que o algoritmo euclidiano estendido para decodificação de códigos alternativos. Como aplicação de nossa prova, fornecemos uma fórmula explícita para as matrizes geradoras e de verificação de paridade de códigos alternantes e seus códigos estendidos simples e duplamente.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copiar
Hajime MATSUI, "A Simple Proof of Horiguchi's Error-Value Formula in Decoding of Alternant Codes and Its Applications" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 8, pp. 2146-2150, August 2009, doi: 10.1587/transfun.E92.A.2146.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.2146/_p
Copiar
@ARTICLE{e92-a_8_2146,
author={Hajime MATSUI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Simple Proof of Horiguchi's Error-Value Formula in Decoding of Alternant Codes and Its Applications},
year={2009},
volume={E92-A},
number={8},
pages={2146-2150},
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.},
keywords={},
doi={10.1587/transfun.E92.A.2146},
ISSN={1745-1337},
month={August},}
Copiar
TY - JOUR
TI - A Simple Proof of Horiguchi's Error-Value Formula in Decoding of Alternant Codes and Its Applications
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2146
EP - 2150
AU - Hajime MATSUI
PY - 2009
DO - 10.1587/transfun.E92.A.2146
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2009
AB - 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.
ER -