Self-dual additive codes
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We define a self-dual code over a finite abelian group in terms of an arbitrary duality on the ambient space. We determine when additive self-dual codes exist over abelian groups for any duality and describe various constructions for these codes. We prove that there must exist self-dual codes under any duality for codes over a finite abelian group Z(pe). They exist for all lengths when p is prime and e is even; all even lengths when p is an odd prime with p = 1 (mod 4) and e is odd with e > 1; and all lengths that are 0 (mod 4) when p is an odd prime with p = 3 (mod 4) and e is odd with e > 1.
Açıklama
Anahtar Kelimeler
Self-dual codes, Finite abelian groups, Group characters
Kaynak
Applicable Algebra in Engineering Communication and Computing
WoS Q Değeri
Q4
Scopus Q Değeri
Q1
Cilt
33
Sayı
5
