Self-dual and maximal self-orthogonal codes over7

Masaaki Harada; Patric R.J. Östergård

doi:10.1016/S0012-365X(02)00389-8

Self-dual and maximal self-orthogonal codes over₇

Masaaki Harada, Patric R.J. Östergård

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

12 Citations (Scopus)

Abstract

In this note, we give the classification of self-dual ₇-codes of length 12 and maximal self-orthogonal codes of lengths 10, 11 and 13. It is also shown that there is no self-dual [16, 8, d ≥ 8] code over ₇.

Original language	English
Pages (from-to)	471-477
Number of pages	7
Journal	Discrete Mathematics
Volume	256
Issue number	1-2
DOIs	https://doi.org/10.1016/S0012-365X(02)00389-8
Publication status	Published - 2002 Sep 28
Externally published	Yes

Keywords

Classification
Maximal self-orthogonal code
Self-dual code

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Access to Document

10.1016/S0012-365X(02)00389-8

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title = "Self-dual and maximal self-orthogonal codes over7",

abstract = "In this note, we give the classification of self-dual 7-codes of length 12 and maximal self-orthogonal codes of lengths 10, 11 and 13. It is also shown that there is no self-dual [16, 8, d ≥ 8] code over 7.",

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AU - Östergård, Patric R.J.

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N2 - In this note, we give the classification of self-dual 7-codes of length 12 and maximal self-orthogonal codes of lengths 10, 11 and 13. It is also shown that there is no self-dual [16, 8, d ≥ 8] code over 7.

AB - In this note, we give the classification of self-dual 7-codes of length 12 and maximal self-orthogonal codes of lengths 10, 11 and 13. It is also shown that there is no self-dual [16, 8, d ≥ 8] code over 7.

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KW - Maximal self-orthogonal code

KW - Self-dual code

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