NDLI: Bounds on the Maximum Number of Vectors with given Scalar Products

Content Provider	Scilit
Author	Deza, M. Frankl, P.
Copyright Year	1985
Description	Suppose , are sets of real numbers, is a collection of vectors in , having nonzero coordinates all from and satisfying for . Theorem 1.1 establishes a polynomial upper bound for , generalizing previous results for subsets of a set and -vectors. Theorem 1.4 asserts that if then . For , , Theorem 1.5 gives , where equality holds if and only if is a "signed" Steiner-system.
Related Links	http://www.ams.org/proc/1985-095-02/S0002-9939-1985-0801348-0/S0002-9939-1985-0801348-0.pdf
Ending Page	329
Page Count	7
Starting Page	323
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2044537
Journal	Proceedings of the American Mathematical Society
Issue Number	2
Volume Number	95
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Scalar Products Bounds Maximum Number of Vectors
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Bounds on the Maximum Number of Vectors with given Scalar Products