New Hermitian self-dual MDS or near-MDS codes over finite fields

Djoko Suprijanto (Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung)

Journal of Mathematical and Fundamental Sciences
Vol. 46 No. 1 (2014)

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.