On a relation between GAG codes and AG codes

Küçük Resim Yok

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Ovidius Univ Press

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Algebraic Geometry Codes, Generalized Algebraic Geometry Codes, Geometric Goppa Codes, Code Automorphisms, Algebraic Function Fields

Kaynak

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

31

Sayı

3

Künye