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An improvement on H design by L. Ji is a Engineering article available to read on EtoBox.

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## Abstract An __H__(__m__, __g__, 4, 3) is a triple $(X,\cal T,\cal B)$, where __X__ is a set of __mg__ points, $\cal T$ is a partition of __X__ into __m__ disjoint sets of size __g__, and $\cal B$ is a set of 4‐element transverses of $\cal T$, such that each 3‐element transverse of $\cal T$ is contained in exactly one of them. Such a design was introduced by Hanani 2, who used it to study Steiner quadruple systems. Mills showed that for $m > 3, m \not= 5$, an __H__(__m__, __g__, 4, 3) exists if and only if __mg__ is even and $g(m-1)(m-2)$ is divisible by 3, and that for $m=5$, an __H__(5, __g__, 4, 3) exists if __g__ is divisible by 4 or 6 10. In this article, we shall show that an __H__(5, __g__, 4, 3) exists if __g__ is even, $g \neq 2$ and $g \not \equiv 10, 26\, ({\rm mod} \,48)$. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 25–35, 2009

Who reads An improvement on H design?

Author

L. Ji

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 1063-8539)

Published

2008

Language

EN

Field

Engineering (Physical Sciences)