20 research outputs found
New binary self-dual codes via a generalization of the four circulant construction
In this work, we generalize the four circulant construction for self-dual codes. By applying the constructions over the alphabets , , , 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.https://www.mathos.unios.hr/mc/index.php/mc/article/view/352
LIPIcs, Volume 244, ESA 2022, Complete Volume
LIPIcs, Volume 244, ESA 2022, Complete Volum