Optimal formally self-dual codes over F5 and F7

Steven T. Dougherty; T. Aaron Gulliver; Masaaki Harada

doi:10.1007/s002000050126

Optimal formally self-dual codes over F₅ and F₇

Steven T. Dougherty, T. Aaron Gulliver, Masaaki Harada

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

4 Citations (Scopus)

Abstract

In this paper, we study optimal formally self-dual codes over F₅ and F₇. We determine the highest possible minimum weight for such codes up to length 24. We also construct formally self-dual codes with highest minimum weight, some of which have the highest minimum weight among all known linear codes of corresponding length and dimension. In particular, the first known [14, 7, 7] code over F₇ is presented. We show that there exist formally self-dual codes which have higher minimum weights than any comparable self-dual codes.

Original language	English
Pages (from-to)	227-236
Number of pages	10
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	10
Issue number	3
DOIs	https://doi.org/10.1007/s002000050126
Publication status	Published - 2000 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1007/s002000050126

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AB - In this paper, we study optimal formally self-dual codes over F5 and F7. We determine the highest possible minimum weight for such codes up to length 24. We also construct formally self-dual codes with highest minimum weight, some of which have the highest minimum weight among all known linear codes of corresponding length and dimension. In particular, the first known [14, 7, 7] code over F7 is presented. We show that there exist formally self-dual codes which have higher minimum weights than any comparable self-dual codes.

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Optimal formally self-dual codes over F₅ and F₇

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