2 papers
cs.IT2021
Group LCD and Group Reversible LCD Codes
Steven T. Dougherty, Joe Gildea, Adrian Korban +1
In this paper, we give a new method for constructing LCD codes. We employ group rings and a well known map that sends group ring elements to a subring of the matrices…
math.CO2021
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction
Joe Gildea, Adrian Korban, Adam Michael Roberts
In this work, we give a new technique for constructing self-dual codes over commutative Frobenius rings using -circulant matrices. The new construction was derived as a modifica…