Self-dual codes over F2uF2vF2uvF 2

Bahattin Yildiz; Suat Karadeniz

doi:10.1016/j.jfranklin.2010.10.007

Self-dual codes over F₂uF₂vF₂uvF ₂

Bahattin Yildiz, Suat Karadeniz

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

29 Scopus citations

Abstract

The focus in this work is on self-dual codes over the ring F ₂uF₂vF₂uvF₂. Type I and Type II codes over F₂uF₂vF₂uvF₂ are defined and some of the techniques used in the literature are applied to get some theoretical results about self-dual codes on F₂uF₂vF ₂uvF₂ and their binary images. In particular some extremal and optimal binary codes of Type I and Type II including the extended Golay code are obtained as the Gray images of codes over F₂uF ₂vF₂uvF₂.

Original language	English (US)
Pages (from-to)	1888-1894
Number of pages	7
Journal	Journal of the Franklin Institute
Volume	347
Issue number	10
DOIs	https://doi.org/10.1016/j.jfranklin.2010.10.007
State	Published - Dec 2010
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/j.jfranklin.2010.10.007

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title = "Self-dual codes over F2uF2vF2uvF 2",

abstract = "The focus in this work is on self-dual codes over the ring F 2uF2vF2uvF2. Type I and Type II codes over F2uF2vF2uvF2 are defined and some of the techniques used in the literature are applied to get some theoretical results about self-dual codes on F2uF2vF 2uvF2 and their binary images. In particular some extremal and optimal binary codes of Type I and Type II including the extended Golay code are obtained as the Gray images of codes over F2uF 2vF2uvF2.",

author = "Bahattin Yildiz and Suat Karadeniz",

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AB - The focus in this work is on self-dual codes over the ring F 2uF2vF2uvF2. Type I and Type II codes over F2uF2vF2uvF2 are defined and some of the techniques used in the literature are applied to get some theoretical results about self-dual codes on F2uF2vF 2uvF2 and their binary images. In particular some extremal and optimal binary codes of Type I and Type II including the extended Golay code are obtained as the Gray images of codes over F2uF 2vF2uvF2.

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Self-dual codes over F₂uF₂vF₂uvF ₂

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