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

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

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. © 2022 by...

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Bibliographic Details
Main Authors: Bouyuklieva, S. (Author), de la Cruz, J. (Author), Villar, D. (Author)
Format: Article
Language:English
Published: MDPI 2022
Subjects:
automorphisms
extremal codes
self-dual codes
Online Access:View Fulltext in Publisher
LEADER 00970nam a2200193Ia 4500
001 10.3390-math10050748
008 220425s2022 CNT 000 0 und d
020 |a 22277390 (ISSN) 
245 1 0 |a Extremal Binary and Ternary Codes of Length 60 with an Automorphism of Order 29 and a Generalization 
260 0 |b MDPI  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.3390/math10050748 
520 3 |a 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. © 2022 by the authors. Licensee MDPI, Basel, Switzerland. 
650 0 4 |a automorphisms 
650 0 4 |a extremal codes 
650 0 4 |a self-dual codes 
700 1 |a Bouyuklieva, S.  |e author 
700 1 |a de la Cruz, J.  |e author 
700 1 |a Villar, D.  |e author 
773 |t Mathematics 

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