On a relation between GAG codes and AG codes

ŞENEL E., ÖKE F.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.31, sa.3, ss.221-227, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2478/auom-2023-0040
  • Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.221-227
  • Anahtar Kelimeler: algebraic function fields, Algebraic geometry codes, code automorphisms, generalized algebraic geometry codes, geometric Goppa codes
  • Trakya Üniversitesi Adresli: Evet

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.