New nonbinary self-dual codes

T. Aaron Gulliver; Masaaki Harada

doi:10.1109/TIT.2007.911265

New nonbinary self-dual codes

T. Aaron Gulliver, Masaaki Harada

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

9 Citations (Scopus)

Abstract

In this correspondence, we construct new self-dual codes over F₄, F₅, F₇ with larger minimum weights than the previously known self-dual codes, using construction methods based on circulant and negacirculant matrices. In particular, a self-dual [36,18,13] code over F₇ is constructed which has a larger minimum weight than the previously known [36,18] codes.

Original language	English
Pages (from-to)	415-417
Number of pages	3
Journal	IEEE Transactions on Information Theory
Volume	54
Issue number	1
DOIs	https://doi.org/10.1109/TIT.2007.911265
Publication status	Published - 2008 Jan
Externally published	Yes

Keywords

Circulant matrix
Negacirculant matrix
Nonbinary codes
Self-dual codes

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/TIT.2007.911265

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title = "New nonbinary self-dual codes",

abstract = "In this correspondence, we construct new self-dual codes over F4, F5, F7 with larger minimum weights than the previously known self-dual codes, using construction methods based on circulant and negacirculant matrices. In particular, a self-dual [36,18,13] code over F7 is constructed which has a larger minimum weight than the previously known [36,18] codes.",

keywords = "Circulant matrix, Negacirculant matrix, Nonbinary codes, Self-dual codes",

author = "Gulliver, {T. Aaron} and Masaaki Harada",

year = "2008",

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AU - Harada, Masaaki

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AB - In this correspondence, we construct new self-dual codes over F4, F5, F7 with larger minimum weights than the previously known self-dual codes, using construction methods based on circulant and negacirculant matrices. In particular, a self-dual [36,18,13] code over F7 is constructed which has a larger minimum weight than the previously known [36,18] codes.

KW - Circulant matrix

KW - Negacirculant matrix

KW - Nonbinary codes

KW - Self-dual codes

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New nonbinary self-dual codes

Abstract

Keywords

ASJC Scopus subject areas

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