7 citations · 11 across the 9 of their papers we have counts for
12 papers
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…
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction
Joe Gildea, Adrian Korban, Adam Michael Roberts
In this work, we give a new technique for constructing self-dual codes over commutative Frobenius rings using -circulant matrices. The new construction was derived as a modifica…