Three-class association schemes from cyclotomy
Tao Feng, Koji Momihara
TL;DR
This paper presents three methods to construct three-class association schemes using cyclotomy, including two primitive schemes, expanding the toolkit for algebraic combinatorics and scheme classification.
Contribution
It introduces three new constructions of three-class association schemes derived from cyclotomic schemes, with two being primitive, advancing the understanding of scheme structures.
Findings
Three new constructions of three-class association schemes.
Two of the schemes are primitive.
Enhanced methods for scheme construction from cyclotomy.
Abstract
We give three constructions of three-class association schemes as fusion schemes of the cyclotomic scheme, two of which are primitive
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · graph theory and CDMA systems