University of Wollongong
Browse

Generalized Bhaskar Rao Designs with Block Size 4 Signed over Elementary Abelian Groups

Download (400.13 kB)
journal contribution
posted on 2024-11-14, 03:20 authored by G Ge, M Greig, Jennifer SeberryJennifer Seberry
de Launey and Seberry have looked at the existence of Generalized Bhaskar Rao designs with block size 4 signed over elementary Abelian groups and shown that the necessary conditions for the existence of a (v, 4, λ; EA(g)) GBRD are sufficient for λ > g with 70 possible exceptions. This article extends that work by reducing those possible exceptions to just a (9,4,18h; EA(9h)) GBRD, where gcd(6, h) = 1, and shows that for λ = g the necessary conditions are sufficient for v > 46.

History

Citation

This article was originally published as Ge, G, Greig, M and Seberry, J, Generalized Bhaskar Rao Designs with Block Size 4 Signed over Elementary Abelian Groups, Journal of Combinatorial Mathematics and Combinatorial Computing, 46, 2003, 3-45.

Journal title

Journal of Combinatorial Mathematics and Combinatorial Computing

Volume

46

Pagination

3-45

Language

English

RIS ID

7236

Usage metrics

    Categories

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC