The weight distributions of two classes of p ary cyclic codes with few weights

Abstract

Cyclic codes have attracted a lot of research interest for decades as they have efficient encoding and decoding algorithms. In this paper, for an odd prime $p$, the weight distributions of two classes of $p$-ary cyclic codes are completely determined. We show that both codes have at most five nonzero weights.

20 pages

Cited by in corpus (3)

• Weight distributions and weight hierarchies of two classes of binary linear codes
• Weight hierarchies and weight distributions of a familiy of $p$-ary linear codes
• Weight hierarchies of a family of linear codes associated with degenerate quadratic forms