Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-30T03:49:22.598Z Has data issue: false hasContentIssue false

Constructions of balanced ternary designs

Published online by Cambridge University Press:  09 April 2009

D. G. Sarvate
Affiliation:
College of CharlestonCharleston, South Carolina 29424, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A construction for balanced ternary designs is given. Based on the designs so obtained, a construction of partially balanced ternary designs is given, which gives balanced ternary designs and series of symmetric balanced ternary designs in special cases.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Billington, E. J., ‘Balanced n-ary designs: A combinatorial survey and some new results’, Ars Combin. 17A (1984), 3772.Google Scholar
[2]Donovan, D., ‘Balanced ternary designs from 1-designs’, Ars Combin. 19 (1985), 95104.Google Scholar
[3]Donovan, D., ‘Methods for constructing balanced ternary designs’, Ars Combin. 26A, to appear.Google Scholar
[4]Saha, G. M., ‘On construction of Tm-type PBIB designs’, Ann. Inst. Statist. Math. 25 (3) (1973), 605616.CrossRefGoogle Scholar
[5]Sinha, K., ‘A series of BIB designs’, J. Austral. Math. Soc. Ser. A, 27 (1979), 8890.CrossRefGoogle Scholar