There exists no self-dual [24,12,10] code over F5

Masaaki Harada; Akihiro Munemasa

doi:10.1007/s10623-009-9271-5

There exists no self-dual [24,12,10] code over F₅

Masaaki Harada, Akihiro Munemasa

INF - Computer and Mathematical Sciences

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

2 Citations (Scopus)

Abstract

Self-dual codes overF5exist for all even lengths. The smallest length for which the largest minimum weight among self-dual codes has not been determined is 24, and the largest minimum weight is either 9 or 10. In this note, we show that there exists no self-dual [24, 12, 10] code over F5 , using the classification of 24-dimensional odd unimodular lattices due to Borcherds.

Original language	English
Pages (from-to)	125-127
Number of pages	3
Journal	Designs, Codes, and Cryptography
Volume	52
Issue number	1
DOIs	https://doi.org/10.1007/s10623-009-9271-5
Publication status	Published - 2009 Jul

Keywords

Construction A
Minimum weight
Self-dual code
Unimodular lattice

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

Access to Document

10.1007/s10623-009-9271-5

Cite this

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abstract = "Self-dual codes overF5exist for all even lengths. The smallest length for which the largest minimum weight among self-dual codes has not been determined is 24, and the largest minimum weight is either 9 or 10. In this note, we show that there exists no self-dual [24, 12, 10] code over F5 , using the classification of 24-dimensional odd unimodular lattices due to Borcherds.",

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KW - Unimodular lattice

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