A construction method for complete sets of mutually orthogonal frequency squares
type: Item
instance of: scholarly article
title: A construction method for complete sets of mutually orthogonal frequency squares
zbMATH Open document ID: 0953.05012
author: N. Delaunay
published in: The Electronic Journal of Combinatorics
publication date: 2000-09-14T00:00:00Z
full work available at URL: https://eudml.org/doc/120721
full work available at URL: v7i1n5.html
review text: An \(n\times n\) matrix \(M\) over an \(m\)-set \(S\), \(n=\lambda m\), is called a frequency square of type \(F(n;\lambda)\) if every element of \(S\) occurs exactly \(\lambda\) times in each row and each column of \(M\), and two such matrices are called orthogonal if when one is superimposed on the other each element of \(S\times S\) appears \(\lambda^2\) times. A set of \({(n- 1)^2\over (m-1)}\) mutually orthogonal frequency squares (MOFS) of type \(F(n;\lambda)\) is called a complete set of type \(F(n;\lambda)\). Assuming the existence of affine designs with certain parameters and MOFS of suitable types the author generates MOFS of different types.
reviewed by: M. R. Darafsheh
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 1498629
zbMATH Keywords: matrices
zbMATH Keywords: orthogonal arrays
zbMATH Keywords: latin squares
zbMATH Keywords: affine designs
zbMATH Keywords: frequency square
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1498629