Mutually orthogonal latin squares (MOLS)

R. Julian R. Abel; Charles Colbourn; Jeffrey H. Dinitz

Mutually orthogonal latin squares (MOLS)

R. Julian R. Abel, Charles Colbourn, Jeffrey H. Dinitz

Computer Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter

140 Scopus citations

Abstract

RTD_λ(k, n). Its λ-parallel classes are B₁,..., B_n. This process can be reversed to form a TD_λ(k + 1, n) from an RTD_λ(k, n). 3.14 Example A resolvable TD(4, 4) derived from the TD(5, 4) in Example 3.11. On the element set {1, 2, 3, 4}× {2, 3, 4, 5}, the blocks are: (equation found) Each row is a parallel class.

Original language	English (US)
Title of host publication	Handbook of Combinatorial Designs, Second Edition
Publisher	CRC Press
Pages	160-193
Number of pages	34
ISBN (Electronic)	9781420010541
ISBN (Print)	9781584885061
State	Published - Jan 1 2006

ASJC Scopus subject areas

General Mathematics
General Computer Science

Cite this

@inbook{b8e90a2a8cc6492eb05fb0607228946a,

title = "Mutually orthogonal latin squares (MOLS)",

abstract = "RTDλ(k, n). Its λ-parallel classes are B1,..., Bn. This process can be reversed to form a TDλ(k + 1, n) from an RTDλ(k, n). 3.14 Example A resolvable TD(4, 4) derived from the TD(5, 4) in Example 3.11. On the element set {1, 2, 3, 4}× {2, 3, 4, 5}, the blocks are: (equation found) Each row is a parallel class.",

author = "Abel, {R. Julian R.} and Charles Colbourn and Dinitz, {Jeffrey H.}",

note = "Publisher Copyright: {\textcopyright} 2007 by Taylor & Francis Group, LLC.",

year = "2006",

month = jan,

day = "1",

language = "English (US)",

isbn = "9781584885061",

pages = "160--193",

booktitle = "Handbook of Combinatorial Designs, Second Edition",

publisher = "CRC Press",

}

TY - CHAP

T1 - Mutually orthogonal latin squares (MOLS)

AU - Abel, R. Julian R.

AU - Colbourn, Charles

AU - Dinitz, Jeffrey H.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - RTDλ(k, n). Its λ-parallel classes are B1,..., Bn. This process can be reversed to form a TDλ(k + 1, n) from an RTDλ(k, n). 3.14 Example A resolvable TD(4, 4) derived from the TD(5, 4) in Example 3.11. On the element set {1, 2, 3, 4}× {2, 3, 4, 5}, the blocks are: (equation found) Each row is a parallel class.

AB - RTDλ(k, n). Its λ-parallel classes are B1,..., Bn. This process can be reversed to form a TDλ(k + 1, n) from an RTDλ(k, n). 3.14 Example A resolvable TD(4, 4) derived from the TD(5, 4) in Example 3.11. On the element set {1, 2, 3, 4}× {2, 3, 4, 5}, the blocks are: (equation found) Each row is a parallel class.

UR - http://www.scopus.com/inward/record.url?scp=85058081568&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85058081568&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:85058081568

SN - 9781584885061

SP - 160

EP - 193

BT - Handbook of Combinatorial Designs, Second Edition

PB - CRC Press

ER -

Mutually orthogonal latin squares (MOLS)

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this