7 citations · 16 across the 7 of their papers we have counts for
7 papers
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours
Joe Gildea, Adrian Korban, Adam Michael Roberts +1
In this work, we define a modification of a bordered construction for self-dual codes which utilises -circulant matrices. We provide the necessary conditions for the constructio…
New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction
Joe Gildea, Adrian Korban, Adam Michael Roberts +1
In this paper, we present a new bordered construction for self-dual codes which employs -circulant matrices. We give the necessary conditions for our construction to produce sel…
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…
New Self-Dual Codes of length 68 from a 2 by 2 block matrix Construction and Group Rings
Maria Bortos, Joe Gildea, Abidin Kaya +2
Many generator matrices for constructing extremal binary self-dual codes of different lengths have the form G=(I|A), where I is the n by n identity matrix and A is the n by n matri…
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…
A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes
Joe Gildea, Abidin Kaya, Alexander Tylyshchak +1
We introduce an altered version of the four circulant construction over group rings for self-dual codes. We consider this construction over the binary field, the rings F_2 + uF_2 a…
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…