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Two-Weight Codes and Second Order Recurrences

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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.

Two-weight codesIrreducible Cyclic codesMDS codesLinear recurrences

SHI Minjia、ZHANG Zhongyi、SOL(E) Patrick

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Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education,School of Mathematical Sciences, Anhui University, Hefei 230601, China

School of Wendian, Anhui University, Hefei 230601, China

Aix Marseille Univ, CNRS, Centrale Marseile, I2M, Marseille, France

This work is supported by National Natural Science Foundation of ChinaExcellent Youth Foundation of Natural Science Foundation of Anhui ProvinceAcademic Fund for outstanding Talents in Oniversities

616720361808085J20gxbj.ZD03

2019

10.1049/cje.2019.07.001

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(6)
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