25 citations · 117 across the 15 of their papers we have counts for
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math.CO2019★ 4 cited
A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes
Joe Gildea, Abidin Kaya, Alexander Tylyshchak +1
We introduce an altered version of the four circulant construction over group rings for self-dual codes. We consider this construction over the binary field, the rings F_2 + uF_2 a…
math.CO2019★ 1 cited
New binary self-dual codes via a generalization of the four circulant construction
Joe Gildea, Abidin Kaya, Bahattin Yildiz
In this work, we generalize the four circulant construction for self-dual codes. By applying the constructions over the alphabets F_2, F_2 + uF_2, F_4+uF_4, we were able to obtain…
math.CO2019
New Extremal binary self-dual codes from a Baumert-Hall array
Abidin Kaya, Bahattin Yildiz
In this work, we introduce new construction methods for self-dual codes using a Baumert-Hall array. We apply the constructions over the alphabets F_2 and F_4 + uF_4 and combine the…