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Construction of DNA Codes From Composite Matrices and a Bio-Inspired Optimization Algorithm
(IEEE-INST Electrical Electronics Engineers Inc., 2023)
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Abstract
In this work, we present a new construction method for reversible codes. We employ composite matrices derived from group rings and show how to ...
Additive skew G-codes over finite fields
(Springer Link, 2023)
We define additive skew G-codes over finite fields and discuss several dualities attached to these codes. We examine the properties of self-dual skew G-codes and in particular we show that the dual, under any duality, of ...
DNA Codes From Reversible Group Codes By A Virus Optimisation Algorithm
(2023)
In this paper, we employ group rings and some known results on group codes to study reversible group DNA codes. We define and study reversible cyclic DNA codes from a group ring point of view and we also introduce the ...
Group matrix ring codes and constructions of self-dual codes
(Springer Link, 2023)
In this work, we study codes generated by elements that come from group matrix rings. We present a matrix construction which we use to generate codes in two different ambient spaces: the matrix ring M-k(R) and the ring R, ...
An application of a virus optimization algorithm to the problem of computing binary self-dual and LCD codes
(American Institute of Mathematical Sciences (AIMS), 2022)
In this paper, we employ a virus optimization (VO) algorithm, which is one of the metaheuristic optimization techniques, and a known construction method to compute many new binary [72, 36, 12] self-dual codes and ...
DNA codes from skew dihedral group ring
(American Institute of Mathematical Sciences (AIMS), 2022)
In this work, we present a matrix construction for reversible codes derived from skew dihedral group rings. By employing this matrix construction, the ring Fj,k and its associated Gray maps, we show how one can construct ...