On the Weight Distribution of Cyclic Codes with Niho Exponents [article]

Shuxing Li, Tao Feng, Gennian Ge
2014 arXiv   pre-print
Recently, there has been intensive research on the weight distributions of cyclic codes. In this paper, we compute the weight distributions of three classes of cyclic codes with Niho exponents. More specifically, we obtain two classes of binary three-weight and four-weight cyclic codes and a class of nonbinary four-weight cyclic codes. The weight distributions follow from the determination of value distributions of certain exponential sums. Several examples are presented to show that some of
more » ... codes are optimal and some have the best known parameters.
arXiv:1401.1887v1 fatcat:hl26xuvb2zgijjx6ugkbjga4o4