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New binary self-dual codes via a generalization of the four circulant construction (1912.11754v1)
Published 26 Dec 2019 in math.CO, cs.IT, and math.IT
Abstract: 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 extremal binary self-dual codes of lengths 40, 64 including new extremal binary self-dual codes of length 68. More precisely, 43 new extremal binary self-dual codes of length 68, with rare new parameters have been constructed.