11 citations · 40 across the 15 of their papers we have counts for
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math.CO2021★ 2 cited
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
Joe Gildea, Adrian Korban, Adam Michael Roberts
In this work, we apply the idea of composite matrices arising from group rings to derive a number of different techniques for constructing self-dual codes over finite commutative F…
math.CO2021★ 8 cited
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…