New Hermitian Self-Dual MDS or Near-MDS Codes over Finite Fields | Zendy

Djoko Suprijanto | Zendy; Yudi Renata | Zendy; Mustika Ladia Putri | Zendy

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New Hermitian Self-Dual MDS or Near-MDS Codes over Finite Fields

Author(s) -

Djoko Suprijanto,

Yudi Renata,

Mustika Ladia Putri

Publication year - 2014

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2014.46.1.6

Subject(s) - hermitian matrix , dual (grammatical number) , finite field , construct (python library) , mathematics , code (set theory) , cyclic code , singleton , low density parity check code , physics , discrete mathematics , pure mathematics , linear code , computer science , algorithm , block code , decoding methods , art , literature , pregnancy , set (abstract data type) , biology , genetics , programming language

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.

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