Generalized Hadamard Matrices and Orthogonal Arrays of Strength Two
- 1 January 1964
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 16, 736-740
- https://doi.org/10.4153/cjm-1964-070-1
Abstract
The purpose of this note is to point out some connexions between generalized Hadamard matrices (4, 5) and various tactical configurations such as group divisible designs (3), affine resolvable balanced incomplete block designs (1), and orthogonal arrays of strength two (2). Some constructions for these arrays are also indicated.A balanced incomplete block design (BIBD) with parameters v, b, r, k, λ is an arrangement of v symbols called treatments into b subsets called blocks of k < v distinct treatments such that each treatment occurs in r blocks and any pair of treatments occurs in λ blocks.Keywords
This publication has 7 references indexed in Scilit:
- Relations Among Generalized Hadamard Matrices, Relative Difference Sets, and Maximal Length Linear Recurring SequencesCanadian Journal of Mathematics, 1963
- Generalized Hadamard matricesProceedings of the American Mathematical Society, 1962
- Some Main-Effect Plans and Orthogonal Arrays of Strength TwoThe Annals of Mathematical Statistics, 1961
- Orthogonal Arrays of Strength two and threeThe Annals of Mathematical Statistics, 1952
- Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate ClassesJournal of the American Statistical Association, 1952
- On the Dual of Some Balanced Incomplete Block DesignsPublished by JSTOR ,1952
- THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTSBiometrika, 1946