On the cycle index and the weight enumerator
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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 notes “Polynomial aspects of codes, matroids and permutation groups.”
KeywordsCycle index Complete weight enumerator
Mathematics Subject ClassificationPrimary 11T71 Secondary 20B05 11H71
The authors would also like to thank the anonymous reviewers for their beneficial comments on an earlier version of the manuscript.
- 3.Cameron P.J.: Polynomial aspects of codes, matroids and permutation groups. http://www.maths.qmul.ac.uk/~pjc/csgnotes/cmpgpoly.pdf