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Two classes of linear codes with a few weights based on twisted Kloosterman sums (1901.05662v1)
Published 17 Jan 2019 in cs.IT, cs.CR, and math.IT
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.