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On circulant codes with prescribed distances

Published online by Cambridge University Press:  17 April 2009

M. Deza  and
Peter Eades
M. Deza
Affiliation:
Centre National des Recherches Scientifiques, Université de Paris VII, Paris, France
Peter Eades
Affiliation:
Department of Pure Mathematics, School of General Studies, Australian National University, Canberra, ACT.
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Abstract

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Necessary and sufficient conditions are given for a square matrix to te the matrix of distances of a circulant code. These conditions are used to obtain some inequalities for cyclic difference sets, and a necessary condition for the existence of circulant weighing matrices.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 16 , Issue 3 , June 1977 , pp. 361 - 369
Copyright
Copyright © Australian Mathematical Society 1977

References

[1]Baumert, Leonard D., Cyclic difference sets (Lecture Hotes in Mathematics, 182. Springer-Verlag, Berlin, Heidelberg, New York, 1971).CrossRefGoogle Scholar
[2]Eades, Peter and Hain, Richard M., “On circulant weighing matrices”, Ars Cambinatoria (to appear).Google Scholar
[3]Konvalina, John and Kosloski, Rodney H., “Cyclic quasi-Hadamard matrices”, Utilitas Math, (to appear).Google Scholar