7 citations · 16 across the 7 of their papers we have counts for
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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…
cs.IT2020
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…
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…