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The Weight Hierarchy of a Family of Cyclic Codes with Arbitrary Number of Nonzeroes (1702.01309v1)
Published 4 Feb 2017 in cs.IT and math.IT
Abstract: The generalized Hamming weights (GHWs) are fundamental parameters of linear codes. GHWs are of great interest in many applications since they convey detailed information of linear codes. In this paper, we continue the work of [10] to study the GHWs of a family of cyclic codes with arbitrary number of nonzeroes. The weight hierarchy is determined by employing a number-theoretic approach.