DNA codes from skew dihedral group ring
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences (AIMS)
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
Özet
In this work, we present a matrix construction for reversible codes derived from skew dihedral group rings. By employing this matrix construction, the ring Fj,k and its associated Gray maps, we show how one can construct reversible codes of length n(2j+k )over the finite field F-4. As an application, we construct a number of DNA codes that satisfy the Hamming distance, the reverse, the reverse-complement, and the GC-content constraints with better parameters than some good DNA codes in the literature.
Açıklama
Anahtar Kelimeler
Group rings, skew group rings, DNA codes, linear codes, dihedral codes, G-codes
Kaynak
Advances in Mathematics of Communications
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
Sayı
Künye
Dougherty,S.T., Korban,A. Şahinkaya,S. ve Üstün, D. (2022). DNA codes from skew dihedral group ring. Advances in Mathematics of Communications. 1-17.
