The Complete Weight Enumerator of Several Cyclic Codes

Abstract

Cyclic codes have attracted a lot of research interest for decades. In this paper, for an odd prime p, we propose a general strategy to compute the complete weight enumerator of cyclic codes via the value distribution of the corresponding exponential sums. As applications of this general strategy, we determine the complete weight enumerator of several p-ary cyclic codes and give some examples to illustrate our results.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…