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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…
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…