3 papers
math.RA2020
New Extremal Binary Self-Dual Codes from Block Circulant Matrices and Block Quadratic Residue Circulant Matrices
Joe Gildea, Abidin Kaya, Rhian Taylor +2
In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions wh…
math.RA2020
New Self-Dual Codes from 2x2 Block Circulant Matrices, Group Rings and Neighbours of Neighbours
Joe Gildea, Abidin Kaya, Rhian Taylor +1
In this paper, we construct self-dual codes from a construction that involves 2x2 block circulant matrices, group rings and a reverse circulant matrix. We provide conditions whereb…
cs.IT2016
Constructions of Self-Dual and Formally Self-Dual Codes from Group Rings
Steven T. Dougherty, Joe Gildea, Rhian Taylor +1
We give constructions of self-dual and formally self-dual codes from group rings where the ring is a finite commutative Frobenius ring. We improve the existing construction given i…