21 research outputs found
New Hermitian self-dual MDS or near-MDS codes over finite fields
A linear code over a finite field is called Hermitian self-dual if the code is self-dual under the Hermitian inner-product. The Hermitian self-dual code is called MDS or near-MDS if the code attains or almost attains the Singleton bound. In this paper we construct new Hermitian self-dual MDS or near-MDS codes over and of length up to 14
New binary self-dual codes via a variation 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 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