New extremal formally self-dual even codes of length 30

Masaaki Harada; Katsushi Waki

doi:10.3934/amc.2009.3.311

New extremal formally self-dual even codes of length 30

Masaaki Harada, Katsushi Waki

INF - System Information Sciences

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

1 Citation (Scopus)

Abstract

There are extremal formally self-dual even codes which are not selfdual only for lengths 6, 10, 12, 14, 18, 20, 22, 28 and 30. The only length for which the classification has not been done yet is 30. In this note, new extremal formally self-dual even codes of length 30 are constructed using symmetric matrices.

Original language	English
Pages (from-to)	311-316
Number of pages	6
Journal	Advances in Mathematics of Communications
Volume	3
Issue number	4
DOIs	https://doi.org/10.3934/amc.2009.3.311
Publication status	Published - 2009 Nov

Keywords

Double circulant code
Extremal code
Formally self-dual even code

ASJC Scopus subject areas

Algebra and Number Theory
Computer Networks and Communications
Discrete Mathematics and Combinatorics
Applied Mathematics

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title = "New extremal formally self-dual even codes of length 30",

abstract = "There are extremal formally self-dual even codes which are not selfdual only for lengths 6, 10, 12, 14, 18, 20, 22, 28 and 30. The only length for which the classification has not been done yet is 30. In this note, new extremal formally self-dual even codes of length 30 are constructed using symmetric matrices.",

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