University of Wollongong
Browse

Some New Constructions for Orthogonal Designs

Download (367.4 kB)
journal contribution
posted on 2024-11-18, 17:17 authored by Anthony V Geramita, Jennifer SeberryJennifer Seberry
We give three new constructions for orthogonal designs using amicable orthogonal designs. These are then used to show (i) all possible n-tuples, n ~ 5 , are the types of orthogonal designs in order 16 and (ii) all possible n-tuples, n ~ 3 are the types of orthogonal designs in order 32 , (iii) all 4-tuples, (e, f, g, 32-e-f-g) , o ~ e T f T g ~ 32 are the types of orthogonal designs in order 32. These resultg are used in a paper by Peter J. Robinson, "Orthogonal designs of order sixteen", in this same volume, to fully update the status of the existence of orthogonal designs in order 16

History

Citation

Geramita, AV and Seberry, J, Some new constructions for orthogonal designs, Combinatorial Mathematics IV, Lecture Notes in Mathematics, 560, 1976, 46-54.

Language

English

Usage metrics

    Categories

    Keywords

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC