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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…
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…
Isodual and Self-dual Codes from Graphs
Sudipta Mallik, Bahattin Yildiz
Binary linear codes are constructed from graphs, in particular, by the generator matrix where is the adjacency matrix of a graph on vertices. A combinatorial inte…
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…