2020/08/03 by Himadri Shekhar Chakraborty, Chakraborty, Himadri Shekhar, Tsuyoshi Miezaki +3
Computer Science · Engineering · Mathematics · #11H71 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Limits and Structures in Graph Theory #Number Theory (math.NT) #Primary 11T71 #Secondary 20B05 #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2008.00654
openalex publication_date 2020/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a previous paper, the second and third named author introduced the concept of the complete cycle index and discussed a relation with the complete weight enumerator in coding theory. In the present paper, we introduce the concept of the complete joint cycle index and the average complete joint cycle index, and discuss a relation with the complete joint weight enumerator and the average complete joint weight enumerator respectively in coding theory. Moreover, the notion of the average intersection numbers is given, and we discuss a relation with the average intersection numbers in coding theory.