On the cyclic DNA codes over the finite rings ℤ4 + wℤ4 and ℤ4 + wℤ4 + vℤ4 + wvℤ4.
A Dertli, Y Cengellenmis - Biomath, 2017 - search.ebscohost.com
… generates reversible codes over a finite field GF(16). In [2], the reversible cyclic codes of
any length n over the ring Z4 were studied. A set of generators for cyclic codes over Z4 with no …
any length n over the ring Z4 were studied. A set of generators for cyclic codes over Z4 with no …
Construction of Cyclic DNA Codes Over the Ring Z4 + vZ4
J Liu, H Liu - IEEE Access, 2020 - ieeexplore.ieee.org
… -complement cyclic code over R, we prove that (C) is a cyclic DNA code by using the … code
with 256 codewords. Finally, we consider the GC content of code C over finite ring Z4 + vZ4 by …
with 256 codewords. Finally, we consider the GC content of code C over finite ring Z4 + vZ4 by …
[PDF][PDF] Some results on linear codes over Z4+ vZ4
J Gao, Y Gao, FW Fu - arXiv preprint arXiv:1402.6771, 2014 - researchgate.net
… In this paper, we study the linear codes over the commutative ring R = Z4 + vZ4, where v2
= … identity of the linear code over R. Some useful results on self-dual code over R are given. …
= … identity of the linear code over R. Some useful results on self-dual code over R are given. …
Linear Codes over the Ring Z4+uZ4+vZ4+wZ4+uvZ4+uwZ4+vwZ4+uvwZ4.
AP Santika, D Suprijanto - IAENG International Journal of …, 2021 - search.ebscohost.com
… In this paper we derive structural properties of linear codes over the ring R := Z4 +uZ4 +vZ4
+wZ4 +uvZ4 +uwZ4 + vwZ4 + uvwZ4. We also obtained some new and optimal linear codes …
+wZ4 +uvZ4 +uwZ4 + vwZ4 + uvwZ4. We also obtained some new and optimal linear codes …
[PDF][PDF] ON THE LINEAR CODES OVER THE RING Z4+ v1Z4+...+ vtZ4
A DERTLI, Y CENGELLENMIS - academia.edu
… codes over D were studied. In this paper, we generalize some results to the linear codes over
… and Cengellenmis, Y., On the codes over the ring Z4+uZ4+vZ4 cyclic, constacyclic, quasi-…
… and Cengellenmis, Y., On the codes over the ring Z4+uZ4+vZ4 cyclic, constacyclic, quasi-…
A study on structure of codes over
G Karthick - Communications in Combinatorics and …, 2024 - comb-opt.azaruniv.ac.ir
… We study (1 + 2u + 2v)-constacyclic code over a semi-local ring S = Z4 + uZ4 + vZ4 with …
code over S is equivalent to quasi-cyclic code over Z4 by using two new Gray maps from S to Z4. …
code over S is equivalent to quasi-cyclic code over Z4 by using two new Gray maps from S to Z4. …
A study of cyclic and constacyclic codes over Z4 + uZ4 + vZ4
… and constacyclic codes over Z4 + uZ4 + vZ4 by using the generators of cyclic codes over
Z4 given by … Also, we construct minimal generating set for cyclic codes over Z4 + uZ4 + vZ4. …
Z4 given by … Also, we construct minimal generating set for cyclic codes over Z4 + uZ4 + vZ4. …
On DNA Codes using the Ring Z4 + wZ4
D Limbachiya, KG Benerjee, B Rao… - … on Information Theory …, 2018 - ieeexplore.ieee.org
… We also give general conditions on the generator matrix of a code over R which produces
DNA codes with the required properties using the Gau map. Some of the constructed DNA …
DNA codes with the required properties using the Gau map. Some of the constructed DNA …
Reversible complement cyclic codes over for DNA computing
C Klin-Eam, W Sriwirach - Discrete Mathematics, Algorithms and …, 2023 - World Scientific
… In this paper, we develop a theory for constructing cyclic codes of odd length over the
ring R = Z4 + uZ4 + vZ4, where u2 = v2 = uv = vu = 0, which plays an important role in DNA …
ring R = Z4 + uZ4 + vZ4, where u2 = v2 = uv = vu = 0, which plays an important role in DNA …
[PDF][PDF] Cyclic and constacyclic codes over Z4+ wZ4
… codes over R are examined under these maps. We present new linear codes over Z4 obtained
from codes over R … new linear codes over Z4 can be obtained from codes over Z4 + wZ4. …
from codes over R … new linear codes over Z4 can be obtained from codes over Z4 + wZ4. …
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