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The weight distributions of some linear codes derived from Kloosterman sums (2407.10051v1)
Published 14 Jul 2024 in cs.IT and math.IT
Abstract: Linear codes with few weights have applications in data storage systems, secret sharing schemes, and authentication codes. In this paper, some kinds of p-ary linear codes with few weights are constructed by use of the given de ning set, where p is a prime. Their weight distributions are determined based on Kloosterman sums over nite elds. In addition, some linear codes we given is minimal.