MDS codes over double struck F sign9 related to the ternary Golay code

Makoto Araya; Masaaki Harada

doi:10.1016/j.disc.2003.11.012

MDS codes over double struck F sign₉ related to the ternary Golay code

Research output: Contribution to journal › Article › peer-review

Abstract

The MDS cods over F9 related to ternary Golay code was discussed. The set of signed-permutations automorphisms was defined as signed -permutation automorphism group of C. The orders off signed-permutation automorphism groups of C1, C2, C3 and C4 were 120, 20, 8 and 12. It was found that the permutation-equivalent code had identical complete weight eneumerators but equivalent codes under signed permutations with different complete weight enumerators.

Original language	English
Pages (from-to)	233-237
Number of pages	5
Journal	Discrete Mathematics
Volume	282
Issue number	1-3
DOIs	https://doi.org/10.1016/j.disc.2003.11.012
Publication status	Published - 2004 May 6
Externally published	Yes

Keywords

Code over double struck F sign
MDS code
Ternary Golay code

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.disc.2003.11.012

Cite this

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abstract = "The MDS cods over F9 related to ternary Golay code was discussed. The set of signed-permutations automorphisms was defined as signed -permutation automorphism group of C. The orders off signed-permutation automorphism groups of C1, C2, C3 and C4 were 120, 20, 8 and 12. It was found that the permutation-equivalent code had identical complete weight eneumerators but equivalent codes under signed permutations with different complete weight enumerators.",

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