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A novel method for image encryption using time signature-dependent s-boxes based on latin squares and the playfair system of cryptography
(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 ...
Dihedral codes with 1-dimensional hulls and 1-dimensional linear complementary pairs of dihedral codes
(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. ...
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 ...
Codes from the Skew Ring ₂(₂)⋊_{}
(American Mathematical Society, 2023)
In this work, we study codes generated by elements in the skew group matrix ring M k ( R ) ⋊ φ G M_k(R)\rtimes _{\varphi }G , where R R is a finite commutative Frobenius ring, G G is an arbitrary finite group, and φ \varphi ...
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, ...
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 ...