Nonexistence of nontrivial tight 8-designs

Nonexistence of nontrivial tight 8-designs Tight t-designs are t-designs whose sizes achieve the Fisher type lower bound. We give a new necessary condition for the existence of nontrivial tight designs and then use it to show that there do not exist nontrivial tight 8-designs. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Algebraic Combinatorics Springer Journals

Nonexistence of nontrivial tight 8-designs

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Publisher
Springer US
Copyright
Copyright © 2017 by Springer Science+Business Media, LLC
Subject
Mathematics; Combinatorics; Convex and Discrete Geometry; Order, Lattices, Ordered Algebraic Structures; Computer Science, general; Group Theory and Generalizations
ISSN
0925-9899
eISSN
1572-9192
D.O.I.
10.1007/s10801-017-0776-0
Publisher site
See Article on Publisher Site

Abstract

Tight t-designs are t-designs whose sizes achieve the Fisher type lower bound. We give a new necessary condition for the existence of nontrivial tight designs and then use it to show that there do not exist nontrivial tight 8-designs.

Journal

Journal of Algebraic CombinatoricsSpringer Journals

Published: Jul 6, 2017

References

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