On the Theory of Trade off and Its Application to the Construction of BIB Designs with Variable Support Sizes.

Abstract

A BIB design with b blocks is said to have the support size b* when exactly b* of the b blocks are distinct. BIB designs with b* < b have interesting applications in design of experiments and finite population sampling. A method called trade off is introduced for the construction of BIB designs. This method is applied and some techniques in combinatorial topology to study BIB designs with arbitrary v and k = 3 in general and with v = 7 and k = 3 in particular. The existence or nonexistence of BIB designs with any given b and b* is determined except the case when b* = 16 for the family of BIB designs with v = 7 and k = 3.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1977
Accession Number
ADA047464

Entities

People

  • A. S. Hedayat
  • Shuo-yen Robert Li

Organizations

  • University of Illinois at Chicago

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  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Algebraic Topology
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  • Mathematics
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  • Two Dimensional

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  • Mathematics

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