Browsing by Author "Dougherty, S. T."
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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 ... -
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 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, ... -
A novel method for image encryption using time signature-dependent s-boxes based on latin squares and the playfair system of cryptography
Dougherty, S. T.; Sahinkaya, Serap; Üstün, Deniz (Springer Link, 2023)This paper presents an image encryption algorithm by using time signature-dependent S-Boxes, which are based on Latin squares, the Playfair system of cryptography, and functions that are inspired by the behavior of a ...
