A hierarchy of complete orthogonal structures

Charles F. Laywine, Gary Lee Mullen

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We provide a hierarchy, linearly ordered by inclusion, describing various complete sets of combinatorial objects starting with complete sets of mutually orthogonal latin squares, generalizing to affine geometries and designs, frequency squares and hypercubes, and ending with (t, m, s)-nets.

Original languageEnglish (US)
Pages (from-to)75-88
Number of pages14
JournalArs Combinatoria
Volume63
StatePublished - Apr 1 2002

Fingerprint

(t, m, s)-nets
Mutually Orthogonal Latin Squares
Affine geometry
Hypercube
Inclusion
Linearly
Hierarchy
Design
Object

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Laywine, Charles F. ; Mullen, Gary Lee. / A hierarchy of complete orthogonal structures. In: Ars Combinatoria. 2002 ; Vol. 63. pp. 75-88.
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A hierarchy of complete orthogonal structures. / Laywine, Charles F.; Mullen, Gary Lee.

In: Ars Combinatoria, Vol. 63, 01.04.2002, p. 75-88.

Research output: Contribution to journalArticle

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