Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes
Yükleniyor...
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Link
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
Özet
In this paper, we study dihedral codes with 1-dimensional hulls and we determine precisely when dihedral codes over fnite felds with 1-dimensional hulls exist. Moreover, we show that these codes come canonically in pairs. We also introduce 1-dimensional linear complementary pairs of dihedral codes and examine the properties of this class of codes. As an application, we obtain 1-dimensional linear complementary pair of dihedral codes, which are either optimal or near optimal.
Açıklama
Anahtar Kelimeler
Group codes, LCD codes, 1-Dimensional hull, dimensional hull, Classes of codes, Finite fields, Group Code, LCD Codes, Near-optimal, Property
Kaynak
Applicable Algebra in Engineering, Communication and Computing (AAECC)
WoS Q Değeri
Q4
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Dougherty, S.T., Sahinkaya, S. ve Ustun, D. (2023). Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes. AAECC. https://doi.org/10.1007/s00200-023-00617-3
