A Novel Genetic Search Scheme Based on Nature--Inspired Evolutionary Algorithms for Self-Dual Codes

A Korban, S Sahinkaya, D Ustun - arXiv preprint arXiv:2012.12248, 2020 - arxiv.org
In this paper, a genetic algorithm, one of the evolutionary algorithms optimization methods,
is used for the first time for the problem of finding extremal binary self-dual codes. We …

New binary self-dual codes of lengths 80, 84 and 96 from composite matrices

J Gildea, A Korban, AM Roberts - Designs, Codes and Cryptography, 2022 - Springer
In this work, we apply the idea of composite matrices arising from group rings to derive a
number of different techniques for constructing self-dual codes over finite commutative …

Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours

J Gildea, A Korban, AM Roberts… - arXiv preprint arXiv …, 2021 - arxiv.org
In this work, we define a modification of a bordered construction for self-dual codes which
utilises $\lambda $-circulant matrices. We provide the necessary conditions for the …

Quaternary Hermitian self-dual codes of lengths 26, 32, 36, 38 and 40 from modifications of well-known circulant constructions

AM Roberts - Applicable Algebra in Engineering, Communication …, 2022 - Springer
In this work, we give three new techniques for constructing Hermitian self-dual codes over
commutative Frobenius rings with a non-trivial involutory automorphism using λ-circulant …

A novel genetic search scheme based on nature-inspired evolutionary algorithms for binary self-dual codes

A Korban, S Şahinkaya, D Ustun - Advances in Mathematics of …, 2024 - aimsciences.org
In this paper, a genetic algorithm, one of the evolutionary algorithm optimization methods, is
used for the first time for the problem of computing extremal binary self-dual codes. We …