Browsing by Author "Şahinkaya, Serap"
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Additive skew G-codes over finite fields
Dougherty, S. T.; Korban, Adrian; Şahinkaya, Serap; Üstün, Deniz (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 ... -
An application of a virus optimization algorithm to the problem of computing binary self-dual and LCD codes
Korban, Adrian; Şahinkaya, Serap; Üstün, Deniz (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 ... -
Construction of DNA Codes From Composite Matrices and a Bio-Inspired Optimization Algorithm
Korban, Adrian; Şahinkaya, Serap; Üstün, Deniz; Dougherty, S. T. (IEEE-INST Electrical Electronics Engineers Inc., 2023)Indexed keywords SciVal Topics Metrics Funding details 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 ... -
Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes
Dougherty, S. T.; Sahinkaya, Serap; Üstün, Deniz (Springer Link, 2023)In this paper, we study dihedral codes with 1-dimensional hulls and we determine precisely when dihedral codes over fnite felds with 1-dimensional hulls exist. Moreover, we show that these codes come canonically in pairs. ... -
DNA Codes From Reversible Group Codes By A Virus Optimisation Algorithm
Korban, Adrian; Şahinkaya, Serap; Üstün, Deniz (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 ... -
DNA codes from skew dihedral group ring
Dougherty, S. T.; Korban, Adrian; Şahinkaya, Serap; Üstün, Deniz (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 ... -
Group matrix ring codes and constructions of self-dual codes
Dougherty, S. T.; Korban, Adrian; Şahinkaya, Serap; Üstün, Deniz (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, ...
