New binary self-dual codes via a generalization of the four circulant construction
Abstract
In this work, we generalize the four circulant construction for self-dual codes. By applying the constructions over the alphabets F2, F2 + uF2, F4+uF4, 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.
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