Extremal Binary and Ternary Codes of Length 60 with an Automorphism of Order 29 and a Generalization

Stefka Bouyuklieva; Javier de la Cruz; Darwin Villar

doi:10.3390/math10050748

Mathematics (Feb 2022)

Extremal Binary and Ternary Codes of Length 60 with an Automorphism of Order 29 and a Generalization

Stefka Bouyuklieva,
Javier de la Cruz,
Darwin Villar

Affiliations

Stefka Bouyuklieva: Faculty of Mathematics and Informatics, St. Cyril and St. Methodius University of Veliko Tarnovo, 5000 Veliko Tarnovo, Bulgaria
Javier de la Cruz: Departamento de Matemáticas, Universidad del Norte, Km. 5 vía Puerto Colombia, Barranquilla 081007, Colombia
Darwin Villar: Institute of Mathematics, Statistics and Scientific Computation-IMECC, Universidade Estadual de Campinas-UNICAMP, Campinas 13083856, SP, Brazil

DOI: https://doi.org/10.3390/math10050748
Journal volume & issue: Vol. 10, no. 5
p. 748

Abstract

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In this paper, all extremal Type I and Type III codes of length 60 with an automorphism of order 29 are classified up to equivalence. In both cases, it has been proven that there are three inequivalent codes. In addition, a new family of self-dual codes over non-binary fields is presented.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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