Abstract
We use Galois rings to construct partial difference sets and relative difference sets in non-elementary abelian p-groups. As an example, we also use Galois ring GR(4, 2) to construct a (96,20,4) difference set in Z4 × Z4 × Z6.
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Dedicated to Hanfried Lenz on the occasion of his 80th birthday
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© 1996 Kluwer Academic Publishers, Boston
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Ray-Chaudhuri, D.K., Xiang, Q. (1996). Constructions of Partial Difference Sets and Relative Difference Sets Using Galois Rings. In: Jungnickel, D. (eds) Designs and Finite Geometries. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1395-3_16
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DOI: https://doi.org/10.1007/978-1-4613-1395-3_16
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