In this paper, we give a representation of the average of complete joint weight enumerators of two linear codes of length n over Fq and Zk in terms of the compositions of n and their distributions in the codes. We also obtain a generalization of the representation for the average of g-fold complete joint weight enumerators of codes over Fq and Zk. Finally, the average of intersection numbers of a pair of Type III (resp. Type IV) codes, and its second moment are found.
- Weight enumerators
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science Applications
- Discrete Mathematics and Combinatorics
- Applied Mathematics