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Short Amicable sets and Kharaghani type orthogonal designs

Published online by Cambridge University Press:  17 April 2009

Christos Koukouvinos  and
Jennifer Seberry
Christos Koukouvinos
Affiliation:
Department of Mathematics, National Technical University of Athens, Zografou 15773, Athens, Greece
Jennifer Seberry
Affiliation:
School of IT and Computer Science, University of Wollongong, Wollongong NWS 2522, Australia
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Abstract

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Dedicated to Professor George Szekeres

Short amicable sets were introduced recently and have many applications. The construction of short amicable sets has lead to the construction of many orthogonal designs, weighing matrices and Hadamard matrices. In this paper we give some constructions for short amicable sets as well as some multiplication theorems. We also present a table of the short amicable sets known to exist and we construct some infinite families of short amicable sets and orthogonal designs.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 495 - 504
Copyright
Copyright © Australian Mathematical Society 2001

References

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