The weight distributions of some cyclic codes with three or four nonzeros over \(\mathbb F _3\)
Because of efficient encoding and decoding algorithms comparing with linear block codes, cyclic codes form an important family and have applications in communications and storage systems. However, their weight distributions are known only for a few cases mainly on the codes with no more than three nonzeros. In this paper, the weight distributions of two classes of cyclic codes with three or four nonzeros are determined.
weight distribution cyclic code association scheme exponential sum quadratic form 94b05 94b65