Note on large sets of infinite steiner systems

Peter J. Cameron

doi:10.1002/jcd.3180030408

Note on large sets of infinite steiner systems

Peter J. Cameron^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Large sets of Steiner systems S(t,k,n) exist for all finite t and k with t < k and all infinite n. The vector space analogues exist over a field F for all finite t and k with t < k provided that either v or F is infinite, and n ⩾ 2k − t + 1. This inequality is best possible. © 1995 John Wiley & Sons, Inc.

Original language	English
Pages (from-to)	307-311
Number of pages	5
Journal	Journal of Combinatorial Designs
Volume	3
Issue number	4
DOIs	https://doi.org/10.1002/jcd.3180030408
Publication status	Published - 1 Jan 1995

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abstract = "Large sets of Steiner systems S(t,k,n) exist for all finite t and k with t < k and all infinite n. The vector space analogues exist over a field F for all finite t and k with t < k provided that either v or F is infinite, and n ⩾ 2k − t + 1. This inequality is best possible. {\textcopyright} 1995 John Wiley \& Sons, Inc.",

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AB - Large sets of Steiner systems S(t,k,n) exist for all finite t and k with t < k and all infinite n. The vector space analogues exist over a field F for all finite t and k with t < k provided that either v or F is infinite, and n ⩾ 2k − t + 1. This inequality is best possible. © 1995 John Wiley & Sons, Inc.

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Note on large sets of infinite steiner systems

Abstract

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