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Geometric construction of some families of two-class and three-class association schemes from nondegenerate quadrics in characteristic two

Geometric construction of some families of two-class and three-class association schemes from... Taking nondegenerate quadrics in projective space over finite fields of ch.=2, we construct some families of two-class and three-class association schemes, and calculate their parameters. Moreover, for the three-class association scheme, we also compute all its eigenvalues, corresponding multiplicities and the character table, and prove that it is aP-polynomial association scheme. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Geometric construction of some families of two-class and three-class association schemes from nondegenerate quadrics in characteristic two

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References (11)

Publisher
Springer Journals
Copyright
Copyright © 1999 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02677393
Publisher site
See Article on Publisher Site

Abstract

Taking nondegenerate quadrics in projective space over finite fields of ch.=2, we construct some families of two-class and three-class association schemes, and calculate their parameters. Moreover, for the three-class association scheme, we also compute all its eigenvalues, corresponding multiplicities and the character table, and prove that it is aP-polynomial association scheme.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 4, 2007

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