A class of cyclic codes constructed via semiprimitive two-weight irreducible cyclic codes | Zendy

Jesús E. Cuén-Ramos | Zendy; Gerardo Vega | Zendy

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A class of cyclic codes constructed via semiprimitive two-weight irreducible cyclic codes

Author(s) -

Jesús E. Cuén-Ramos,

Gerardo Vega

Publication year - 2017

Publication title -

journal of algebra combinatorics discrete structures and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.137

H-Index - 1

ISSN - 2148-838X

DOI - 10.13069/jacodesmath.327385

Subject(s) - mathematics , class (philosophy) , weight distribution , discrete mathematics , combinatorics , computer science , physics , artificial intelligence , thermodynamics

We present a family of reducible cyclic codes constructed as a direct sum (as vector spaces) of two different semiprimitive two-weight irreducible cyclic codes. This family generalizes the class of reducible cyclic codes that was reported in the main result of [10]. Moreover, despite of what was stated therein, we show that, at least for the codes studied here, it is still possible to compute the frequencies of their weight distributions through the cyclotomic numbers in an easy way.

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