Cyclic Codes from a Sequence over Finite Fields

Nopendri Nopendri, Intan Muchtadi-Alamsyah, Djoko Suprijanto, Aleams Barra

Abstract

A cyclic code has been one of the most active research topics in coding theory because they have many applications in data storage systems and communication systems. They have efficient encoding and decoding algorithms. This paper explains the construction of a family of cyclic codes from sequences generated by a trace of a monomial over finite fields of odd characteristics. The parameter and some examples of the codes are presented in this paper.

Keywords

cyclic codes; sequences; linear span; cyclotomic coset; minimal polynomials

Full Text:

PDF