Extermal doubly-even [80, 40, 16] codes with an automorphism of order 19

Radinka Dontcheva; Masaaki Harada

doi:10.1016/S1071-5797(02)00018-7

Extermal doubly-even [80, 40, 16] codes with an automorphism of order 19

Radinka Dontcheva, Masaaki Harada

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

9 Citations (Scopus)

Abstract

In this paper, it is shown that there are 11 extremal doubly-even self-dual [80, 40, 16] codes with an automorphism of order 19, up to equivalence, and the codes are new. The automorphism groups of the codes are also obtained.

Original language	English
Pages (from-to)	157-167
Number of pages	11
Journal	Finite Fields and their Applications
Volume	9
Issue number	2
DOIs	https://doi.org/10.1016/S1071-5797(02)00018-7
Publication status	Published - 2003 Apr
Externally published	Yes

Keywords

Automorphism groups
Doubly-even codes
Extermal self-dual codes

ASJC Scopus subject areas

Theoretical Computer Science
Algebra and Number Theory
Engineering(all)
Applied Mathematics

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abstract = "In this paper, it is shown that there are 11 extremal doubly-even self-dual [80, 40, 16] codes with an automorphism of order 19, up to equivalence, and the codes are new. The automorphism groups of the codes are also obtained.",

keywords = "Automorphism groups, Doubly-even codes, Extermal self-dual codes",

author = "Radinka Dontcheva and Masaaki Harada",

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AU - Dontcheva, Radinka

AU - Harada, Masaaki

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N2 - In this paper, it is shown that there are 11 extremal doubly-even self-dual [80, 40, 16] codes with an automorphism of order 19, up to equivalence, and the codes are new. The automorphism groups of the codes are also obtained.

AB - In this paper, it is shown that there are 11 extremal doubly-even self-dual [80, 40, 16] codes with an automorphism of order 19, up to equivalence, and the codes are new. The automorphism groups of the codes are also obtained.

KW - Automorphism groups

KW - Doubly-even codes

KW - Extermal self-dual codes

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Extermal doubly-even [80, 40, 16] codes with an automorphism of order 19

Abstract

Keywords

ASJC Scopus subject areas

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