Abstract
In this paper, we give a construction of partial difference sets in \( {\mathbb{Z}_{{{p^2}}}} \times {\mathbb{Z}_{{{p^2}}}} \times ... \times {\mathbb{Z}_{{{p^2}}}} \) using some finite local rings.
The work of this paper was done when the authors visited the University of Hong Kong
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
J. A. Davis, Partial difference sets in p-groups, Arch. Math., Vol. 63 (1994) pp. 103–110.
K. H. Leung and S. L. Ma, Constructions of partial difference sets and relative difference sets on p-groups, Bull. London Math. Soc., Vol. 22 (1990) pp. 533–539.
K. H. Leung and S. L. Ma, Partial difference sets with Paley paramenters, Bull. London Math. Soc., Vol. 27 (1995), 553–564.
S. L. Ma, A survey of partial difference sets, Designs, Codes and Cryptograph, Vol. 4 (1994) pp. 221–261.
B. R. MacDonald, Finite Rings with Identity, Marcel Dekker, New York (1974).
D. K. Ray-Chaudhuri and Q. Xiang, Constructions of partial difference sets and relative difference sets using Galois rings, Designs, Codes and Crytography, Vol. 8 (1996) pp. 215–227.
K. Yamamoto and M. Yamada, Hadamard difference sets over an extension of (math), Utilitas Mathematica, Vol. 34 (1988) pp. 169–178.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Hanfried Lenz on the occasion of his 80th birthday
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers, Boston
About this chapter
Cite this chapter
Leung, K.H., Ma, S.L. (1996). A Construction of Partial Difference Sets in \( {\mathbb{Z}_{{{p^2}}}} \times {\mathbb{Z}_{{{p^2}}}} \times ... \times {\mathbb{Z}_{{{p^2}}}} \) . In: Jungnickel, D. (eds) Designs and Finite Geometries. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1395-3_12
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1395-3_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8604-2
Online ISBN: 978-1-4613-1395-3
eBook Packages: Springer Book Archive