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The weight distributions of some cyclic codes with three or four nonzeros over F3

Published 2 Feb 2013 in cs.IT and math.IT | (1302.0394v1)

Abstract: Because of efficient encoding and decoding algorithms, cyclic codes are an important family of linear block codes, and have applications in communica- tion and storage systems. However, their weight distributions are known only for a few cases mainly on the codes with one or two nonzeros. In this paper, the weight distributions of two classes of cyclic codes with three or four nonzeros are determined.

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