Abstract
In this paper, we give a construction of partial differencesets in \({\mathbb{Z}}_{p^{2 \times } } {\mathbb{Z}}_{p^{2 \times \cdot \cdot \cdot \times } } {\mathbb{Z}}_{p^2 } \) using some finite local rings.
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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, Hadamarddifference sets overan extension of ?=4?, Utilitas Mathematica, Vol. 34 (1988) pp. 169–178.
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Leung, K.H., Ma, S.L. A Construction of Partial Difference Sets in \({\mathbb{Z}}_{p^{2 \times } } {\mathbb{Z}}_{p^{2 \times \cdot \cdot \cdot \times } } {\mathbb{Z}}_{p^2 } \) . Designs, Codes and Cryptography 8, 167–172 (1996). https://doi.org/10.1023/A:1018093110889
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DOI: https://doi.org/10.1023/A:1018093110889