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Two classes of linear codes with a few weights based on twisted Kloosterman sums

2019/01/17 by Minglong Qi, Shengwu Xiong, Qi, Minglong +1
Computer Science · Mathematics · #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.CR #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1901.05662

arxiv created 2019/01/17 · arxiv updated 2019/01/18

Abstract

Linear codes with a few weights have wide applications in information security, data storage systems, consuming electronics and communication systems. Construction of the linear codes with a few weights and determination of their parameters are an important research topic in coding theory. In this paper, we construct two classes of linear codes with a few weights and determine their complete weight enumerators based on twisted Kloosterman sums.

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