On the Structure oft-Designs
Authors:
- R. L. GrahamRGR. L. Graham
- S.-Y. R. LiSLS.-Y. R. Li
- W.-C. W. LiWLW.-C. W. Li
- 1 March 1980
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Algebraic Discrete Methods
- Vol. 1 (1) , 8-14
Abstract
It is possible to view the combinatorial structures known as (integral) t-designs as $\mathbb{Z}$-modules in a natural way. In this note we introduce a polynomial associated to each such $\mathbb{Z}$-module. Using this association, we quickly derive explicit bases for the important class of submodules which correspond to the so-called null-designs.Keywords
This publication has 3 references indexed in Scilit:
- On Theory and Applications of BIB Designs with Repeated BlocksThe Annals of Statistics, 1977
- The module structure of integral designsJournal of Combinatorial Theory, Series A, 1973
- An Introduction to Probability Theory and Its Applications, Vol. 2Physics Today, 1967