New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings
Yükleniyor...
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press in Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
Özet
In this work, we present a number of generator matrices of the form [I-2n vertical bar tau(2)(v)], where I-2n is the 2n x 2n identity matrix, v is an element in the group matrix ring M-2(R)G and where R is a finite commutative Frobenius ring and G is a finite group of order 18. We employ these generator matrices and search for binary [72, 36, 12] self-dual codes directly over the finite field F-2. As a result, we find 134 Type I and 1 Type II codes of this length, with parameters in their weight enumerators that were not known in the literature before. We tabulate all of our findings.
Açıklama
Anahtar Kelimeler
Group matrix rings, Self-dual codes
Kaynak
Finite Fields and Their Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Cilt
76
Sayı
Künye
Korban, A., Şahinkaya, S. ve Üstün,D. (2021). New singly and doubly even binary [72,36,12] self-dual codes from M2(R)G - group matrix rings,Finite Fields and Their Applications,76. Erişim adresi: https://doi.org/10.1016/j.ffa.2021.101924.
