Enumeration of Vuza Canons
Franck Jedrzejewski
TL;DR
This paper introduces new methods for generating Vuza canons, which are non-periodic factorizations of cyclic groups, and provides improved lower bounds on their quantity for certain group sizes.
Contribution
It presents novel results for generating Vuza canons and establishes new lower bounds on their number for specific values of N.
Findings
New methods for generating Vuza canons.
Improved lower bounds on the number of Vuza canons for certain N.
Enhanced understanding of the structure of Vuza canons.
Abstract
A Vuza canon is a non periodic factorization of the finite cyclic . The aim of this paper is to present some new results for generating Vuza canons, and to give new minoration of their number for some values of N.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCoding theory and cryptography · Advanced Combinatorial Mathematics · graph theory and CDMA systems