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Applicable Algebra in Engineering, Communication and Computing
Published in: Applicable Algebra in Engineering, Communication and Computing 5/2019

02-02-2019 | Original Paper

On extremal double circulant self-dual codes of lengths 90–96

Authors: T. Aaron Gulliver, Masaaki Harada

Published in: Applicable Algebra in Engineering, Communication and Computing | Issue 5/2019

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Abstract

A classification of extremal double circulant self-dual codes of lengths up to 88 is known. We extend this classification to length 96. We give a classification of extremal double circulant self-dual codes of lengths 90, 92, 94 and 96. We also classify double circulant self-dual codes with parameters [90, 45, 14] and [96, 48, 16]. In addition, we demonstrate that no double circulant self-dual [90, 45, 14] code has an extremal self-dual neighbor, and no double circulant self-dual [96, 48, 16] code has a self-dual neighbor with minimum weight at least 18.
previous article The connection between quadratic bent–negabent functions and the Kerdock code
next article Fixed points of rational functions satisfying the Carlitz property

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Metadata
Title
On extremal double circulant self-dual codes of lengths 90–96
Authors
T. Aaron Gulliver
Masaaki Harada
Publication date
02-02-2019
Publisher
Springer Berlin Heidelberg
Published in
Applicable Algebra in Engineering, Communication and Computing / Issue 5/2019
Print ISSN: 0938-1279
Electronic ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-019-00381-3

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