TL;DR
This paper introduces $Q$-polynomial coherent configurations, exploring their algebraic properties and providing examples from Delsarte designs and spherical designs, thus generalizing association schemes.
Contribution
It defines $Q$-polynomial coherent configurations and investigates their intersection numbers, Krein numbers, and eigenmatrices, expanding the theory of coherent configurations.
Findings
Established the concept of $Q$-polynomial coherent configurations
Connected $Q$-polynomial coherent configurations to Delsarte designs and spherical designs
Analyzed relationships among intersection numbers, Krein numbers, and eigenmatrices
Abstract
Coherent configurations are a generalization of association schemes. In this paper, we introduce the concept of -polynomial coherent configurations and study the relationship among intersection numbers, Krein numbers, and eigenmatrices. The examples of -polynomial coherent configurations are provided from Delsarte designs in -polynomial schemes and spherical designs.
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 · Finite Group Theory Research · graph theory and CDMA systems