Two‐Weight Codes and Second Order Recurrences | Zendy

Shi Minjia | Zendy; Zhang Zhongyi | Zendy; Solé Patrick | Zendy

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Two‐Weight Codes and Second Order Recurrences

Author(s) -

Shi Minjia,

Zhang Zhongyi,

Solé Patrick

Publication year - 2019

Publication title -

chinese journal of electronics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.267

H-Index - 25

eISSN - 2075-5597

pISSN - 1022-4653

DOI - 10.1049/cje.2019.07.001

Subject(s) - weight distribution , separable space , mathematics , dimension (graph theory) , finite field , code (set theory) , order (exchange) , field (mathematics) , distribution (mathematics) , discrete mathematics , combinatorics , pure mathematics , mathematical analysis , computer science , physics , set (abstract data type) , finance , economics , thermodynamics , programming language

Cyclic codes of dimension 2 over a finite field are shown to have at most two nonzero weights. We compute their weight distribution, and give a condition on the roots of their check polynomials for them to be maximum distance separable code.

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