On cyclic reversible self-dual additive codes with odd length over 22

Moshe Ran; Jakov Snyders

doi:10.1109/18.841185

On cyclic reversible self-dual additive codes with odd length over ₂²

Moshe Ran^*, Jakov Snyders

^*Corresponding author for this work

Department of Electrical Engineering - Systems

TelesciCOM Ltd.

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

2 Scopus citations

Abstract

Several additive codes of odd length over ₂² are introduced. These codes are cyclic and reversible. Furthermore, they are self-dual under an appropriately selected binary-valued inner product. Some binary derivatives of these codes have good parameters. All cyclic and reversible [5, 2.5, 3] additive codes over ₂² are isomorphic and possess interesting properties.

Original language	English
Pages (from-to)	1056-1059
Number of pages	4
Journal	IEEE Transactions on Information Theory
Volume	46
Issue number	3
DOIs	https://doi.org/10.1109/18.841185
State	Published - 2000

Keywords

Additive code
Cyclic code
Group code
Pentacode
Reversible code
Self-dual code

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10.1109/18.841185

Cite this

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KW - Cyclic code

KW - Group code

KW - Pentacode

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KW - Self-dual code

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On cyclic reversible self-dual additive codes with odd length over ₂²

Abstract

Keywords

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