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Two-weight and three-weight linear codes based on Weil sums
Published 21 Dec 2016 in cs.IT and math.IT | (1612.07060v4)
Abstract: Linear codes with few weights have applications in secret sharing, authentication codes, association schemes and strongly regular graphs. In this paper, several classes of two-weight and three-weight linear codes are presented and their weight distributions are determined using Weil sums. Some of the linear codes obtained are optimal or almost optimal with respect to the Griesmer bound.
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