Reversible Gk-codes with applications to DNA codes
Yükleniyor...
Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Link
Erişim Hakkı
info:eu-repo/semantics/restrictedAccess
Özet
In this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain reversible G(k)-codes of length kn, where k, n is an element of N, over the finite commutative Frobenius ring R. We employ our construction method to obtain many DNA codes over F-4 that satisfy the Hamming distance, the reverse, the reverse-complement and the fixed GC-content constraints. Moreover, we improve many lower bounds on the sizes of some known DNA codes and we also give new lower bounds on the sizes of DNA codes of lengths 48, 56, 60, 64 and 72 for some fixed values of the Hamming distance
Açıklama
Anahtar Kelimeler
DNA codes, Group matrix rings, Reversible Gk-codes, DNA, Gene encoding, Construction method, DNA codes, GC contents, Group matrices, Group matrix ring, Low bound, matrix, Matrix rings, Reversible Gk-code
Kaynak
Designs, Codes and Cryptography
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
90
Sayı
7
Künye
Korban, A., Şahinkaya, S. ve Ustun, D. (2022). Reversible Gk-codes with applications to DNA codes. Des. Codes Cryptogr. 90, 1679–1694. Erişim adresi :https://doi.org/10.1007/s10623-022-01067-7
