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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.IT2020
Composite Matrices from Group Rings, Composite G-Codes and Constructions of Self-Dual Codes
Steven T. Dougherty, Joe Gildea, Adrian Korban +1
In this work, we define composite matrices which are derived from group rings. We extend the idea of G-codes to composite G-codes. We show that these codes are ideals in a group ri…