On Symmetric Transversal Designs STD8[24; 3]'s

Joint Authors

Suetake, Chihiro
Hatono, Teppei

Source

International Journal of Combinatorics

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-06-10

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

The existence of a class regular symmetric transversal design STDλ[3λ;3] is equivalent to a generalized Hadamard matrix of order 3u over GF(3).

Let nλ be the number of nonisomorphic STDλ[3λ;3]'s.

It is known that n1=1, n2=1, n3=4, n4=1, n5=0, n6≥20, and n7≥5.

In this paper, it is shown that n8≥24.

American Psychological Association (APA)

Hatono, Teppei& Suetake, Chihiro. 2010. On Symmetric Transversal Designs STD8[24; 3]'s. International Journal of Combinatorics،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-500816

Modern Language Association (MLA)

Hatono, Teppei& Suetake, Chihiro. On Symmetric Transversal Designs STD8[24; 3]'s. International Journal of Combinatorics No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-500816

American Medical Association (AMA)

Hatono, Teppei& Suetake, Chihiro. On Symmetric Transversal Designs STD8[24; 3]'s. International Journal of Combinatorics. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-500816

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-500816