Abstract

In this paper, we first give a relationship between generalized algebraic geometry codes (GAG codes) and algebraic geometry codes (AG codes). More precisely, we show that a GAG code is contained (up to isomorphism) in a suitable AG code. Next we recall the concept of an N1N2-automorphism group, a subgroup of the automorphism group of a GAG code. With the use of the relation we obtained between these two classes of codes, we show that the N1N2-automorphism group is a subgroup of the automorphism group of an AG code.

Details

Title
On a relation between GAG codes and AG codes
Author
Şenel, Engin 1 ; Öke, Figen 1 

 Department of Mathematics, Trakya University, 22030 Edirne, Türkiye 
Pages
221-227
Publication year
2023
Publication date
2023
Publisher
De Gruyter Poland
ISSN
12241784
e-ISSN
18440835
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3155870682
Copyright
© 2023. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.