7 citations · 11 across the 9 of their papers we have counts for
9 papers · 1 filter
New Extremal Binary Self-Dual Codes of Length 72 from - Group Matrix Rings by a Hybrid Search Technique Based on a Neighbourhood-Virus Optimisation Algorithm
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this paper, a new search technique based on the virus optimisation algorithm is proposed for calculating the neighbours of binary self-dual codes. The aim of this new technique…
Group LCD and Group Reversible LCD Codes
Steven T. Dougherty, Joe Gildea, Adrian Korban +1
In this paper, we give a new method for constructing LCD codes. We employ group rings and a well known map that sends group ring elements to a subring of the matrices…
Reversible -Codes with Applications to DNA Codes
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain reversible -co…
An Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this paper, a virus optimization algorithm, which is one of the metaheuristic optimization technique, is employed for the first time to the problem of finding extremal binary se…
New Singly and Doubly Even Binary [72,36,12] Self-Dual Codes from -- Group Matrix Rings
Adrian Korban, Serap Sahinkaya, Deniz Ustun
In this work, we present a number of generator matrices of the form where is the identity matrix, is an element in the group ma…
Group Matrix Ring Codes and Constructions of Self-Dual Codes
Steven Dougherty, Adrian Korban, Serap Sahinkaya +1
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 space…