COMBINATORIAL PROBLEMS IN DESIGN OF EXPERIMENTS.

Abstract

This report is in two parts. In Part A, a relationship is established between orthogonal mappings and difference sets for construction of orthogonal arrays. Permutation matrices are introduced to construct equimodular matrices with elements from the group of pth roots of unity. These matrices provide the difference sets. In part B, a brief review of important results is given. Some results in orthogonal arrays, which depend on the uniqueness of existence of association schemes, have been derived. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1964
Accession Number
AD0607275

Entities

People

  • I. M. Chakravarti

Organizations

  • University of Geneva

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Construction
  • Data Science
  • Experimental Design
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Permutations

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.