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
Provamos que imagens binárias de códigos cíclicos irredutíveis C sobre GF(2m) e códigos binários concatenados de C e um binário [m+ 1,m,2] códigos de paridade par são ótimos (no sentido de que atendem ao limite de Griesmer com igualdade) e adequados, se uma raiz do polinômio de verificação de C é primitivo sobre GF(2m) ou suas extensões.
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Katsumi SAKAKIBARA, Ritsuko IWASA, Yoshiharu YUBA, "On Optimal and Proper Binary Codes from Irreducible Cyclic Codes over GF(2m)" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 10, pp. 2191-2193, October 1999, doi: .
Abstract: We prove that binary images of irreducible cyclic codes C over GF(2m) and binary concatenated codes of C and a binary [m+1,m,2] even-parity code are optimal (in the sense that they meet the Griesmer bound with equality) and proper, if a root of the check polynomial of C is primitive over GF(2m) or its extensions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_10_2191/_p
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@ARTICLE{e82-a_10_2191,
author={Katsumi SAKAKIBARA, Ritsuko IWASA, Yoshiharu YUBA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On Optimal and Proper Binary Codes from Irreducible Cyclic Codes over GF(2m)},
year={1999},
volume={E82-A},
number={10},
pages={2191-2193},
abstract={We prove that binary images of irreducible cyclic codes C over GF(2m) and binary concatenated codes of C and a binary [m+1,m,2] even-parity code are optimal (in the sense that they meet the Griesmer bound with equality) and proper, if a root of the check polynomial of C is primitive over GF(2m) or its extensions.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - On Optimal and Proper Binary Codes from Irreducible Cyclic Codes over GF(2m)
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2191
EP - 2193
AU - Katsumi SAKAKIBARA
AU - Ritsuko IWASA
AU - Yoshiharu YUBA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E82-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1999
AB - We prove that binary images of irreducible cyclic codes C over GF(2m) and binary concatenated codes of C and a binary [m+1,m,2] even-parity code are optimal (in the sense that they meet the Griesmer bound with equality) and proper, if a root of the check polynomial of C is primitive over GF(2m) or its extensions.
ER -