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Journal : Journal of Mathematical and Fundamental Sciences

New Hermitian self-dual MDS or near-MDS codes over finite fields Djoko Suprijanto
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 1 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.1.6

Abstract

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.