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 …