Two families of negacyclic BCH codes

نویسندگان

چکیده

Negacyclic BCH codes are a subclass of neagcyclic and the best linear in many cases. However, there have been very few results on negacyclic codes. Let q be an odd prime power m positive integer. The objective this paper is to study with length $$\frac{q^m-1}{2}$$ $$\frac{q^m+1}{2}$$ over finite field $${\textrm{GF}}(q)$$ analyse their parameters. presented good parameters general, contain optimal For certain m, compared cyclic same dimension length, larger minimum distance some

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ژورنال

عنوان ژورنال: Designs, Codes and Cryptography

سال: 2023

ISSN: ['0925-1022', '1573-7586']

DOI: https://doi.org/10.1007/s10623-023-01208-6