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

Gerardo Vega

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arXiv · 2206.03459

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

Gerardo Vega

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Abstract

Up to a new invariant $\mu(b)$, 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.

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Gerardo Vega. 2022-06-07. The b-symbol weight distributions of all semiprimitive irreducible cyclic codes. https://arxiv.org/abs/2206.03459

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