The b-symbol weight distributions of all semiprimitive irreducible cyclic codes

06/07/2022

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by   Gerardo Vega, et al.

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Up to a new invariant μ(b), the complete b-symbol weight distribution of a particular kind of two-weight irreducible cyclic codes, was recently obtained by Zhu et al. [Des. Codes Cryptogr., 90 (2022) 1113-1125]. The purpose of this paper is to simplify and generalize the results of Zhu et al., and obtain the b-symbol weight distributions of all one-weight and two-weight semiprimitive irreducible cyclic codes.