In this paper, we describe a broad class of problems arising in the context of designing
codes for DNA computing. We primarily focus on design considerations pertaining to the …

In this paper, we propose to cryptanalyse an encryption algorithm which combines a DNA
addition and a chaotic map to encrypt a gray scale image. Our contribution consists on, at …

The structure of DNA is used as a model for constructing good error correcting codes and
conversely error correcting codes that enjoy similar properties with DNA structure are also …

We construct codes over the ring\mathbb F _2+ u\mathbb F _2 F 2+ u F 2 with u^ 2= 0 u 2= 0
for use in DNA computing applications. The codes obtained satisfy the reverse complement …

We study the structure of cyclic DNA codes over the ring F2 [u]/(u2-1). We employ the
deletion similarity distance on the set of codewords. A set of generators for this type of codes …

This paper is dealing with DNA cyclic codes which play an important role in DNA computing
and have attracted a particular attention in the literature. Firstly, we introduce a new family of …

Suppose F q is a finite field with q elements and q= pt, where p is a prime and t≥ 1. Let R q=
F q+ u 1 F q+ u 2 F q+ u 1 u 2 F q, where u 1 2= 0, u 2 2= 0, u 1 u 2= u 2 u 1 be a non-chain …

DNA has a complicated structure with an excellent error correcting capability. Recently,
some codes with similar properties as DNA are studied. Cyclic codes of even lengths over F …

In this work, we present a new construction method for reversible codes. We employ
composite matrices derived from group rings and show how to construct these matrices so …

In this paper, we introduce a new family of polynomials which generates reversible codes
over a finite field with sixteen elements (𝐹16 or 𝐺𝐹 (16)). We name the polynomials in this …