On the cycle index and the weight enumerator

2018/01/18 by Miezaki, Tsuyoshi, Oura, Manabu
#11H71 (Secondary) #11T71 (Primary) #20B05 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1801.05899

Abstract

In this paper, we introduce the concept of the complete cycle index and discuss a relation with the complete weight enumerator in coding theory. This work was motivated by Cameron's lecture note "Polynomial aspects of codes, matroids and permutation groups."

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