New doubly even self-dual codes having minimum weight 20

New doubly even self-dual codes having minimum weight 20

In this note, we construct new doubly even self-dual codes having minimum weight \(20\) for lengths \(112\), \(120\) and \(128\). This implies that there are at least three inequivalent extremal doubly even self-dual codes of length \(112\).

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Veröffentlicht in:arXiv.org 2019-02
1. Verfasser: Harada, Masaaki
Format: Artikel
Sprache:eng
Schlagworte:
Codes
Computer Science - Information Theory
Mathematics - Combinatorics
Mathematics - Information Theory
Minimum weight
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Zusammenfassung:In this note, we construct new doubly even self-dual codes having minimum weight \(20\) for lengths \(112\), \(120\) and \(128\). This implies that there are at least three inequivalent extremal doubly even self-dual codes of length \(112\).
ISSN:2331-8422
DOI:10.48550/arxiv.1902.08739