@article{Uzekmek2024, 
author = {Fatma Zehra Uzekmek and Elif Segah Oztas and Mehmet Ozen},
title = {(θi,λ)-constacyclic codes and DNA codes over  Z4+uZ4+u2Z4},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {27908-27929},
keywords = {codes over rings, constacyclic codes, skew codes, DNA codes},
url = {https://www.sciopen.com/article/10.3934/math.20241355},
doi = {10.3934/math.20241355},
abstract = {In this paper, three new automorphisms were identified over the ring  Z4+uZ4+u2Z4 where  u3=u2. With the help of these automorphisms, the characteristic structures of the generator polynomials for the  θi-cyclic codes and  (θi,λ)-constacyclic codes of odd length on this ring were investigated. Also, for all the units over the ring,  Z4-images of  θi-cyclic and  (θi,λ)-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  Z4. 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.}
}