Necessary Conditions for the Existence of some Incomplete Block Designs.

Abstract

A development of nonexistence proofs of certain balanced incomplete block designs is presented which leads to simplifications of some of the necessary conditions for symmetrical balanced incomplete block designs (SBIBD). The unified approach of using properties of the integer matrices in determining necessary conditions for SBIBDs has been extended to intra- and inter-group balanced incomplete block designs which were defined by Nair and Bose. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1976
Accession Number
ADA025856

Entities

People

  • Alan W. Benton

Organizations

  • United States Army Materiel Systems Analysis Activity

Tags

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.
  • Software Engineering