(?i, ?)-constacyclic codes and DNA codes over Z4
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AIMS Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, three new automorphisms were identified over the ring Z(4)+uZ(4)+u(2)Z(4) where u(3 )= u(2). With the help of these automorphisms, the characteristic structures of the generator polynomials for the theta i-cyclic codes and (theta(i),lambda)-constacyclic codes of odd length on this ring were investigated. Also, for all the units over the ring, Z(4)-images of theta i-cyclic and (theta(i),lambda)-constacyclic codes were reviewed with the associated codes based on determined transformations. Using these observations, new and optimal codes were obtained and presented in the table. In addition, a new transformation was identified that involved DNA base pairs with the elements of Z(4). Moreover, a unit reverse polynomial was created, and in this way a new generation method has been built to construct reversible DNA codes over this ring. Finally, this article was further enhanced with supporting examples of the DNA as a part of the study.
Açıklama
Anahtar Kelimeler
Codes Over Rings, Constacyclic Codes, DNA Codes, Skew Codes
Kaynak
American Institute of Mathematical Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
9
Sayı
10
