Two Generalized Constructions of Relative Difference Sets

Authors:
Xiang-Dong Hou;Surinder K. Sehgal
Affiliations:
Department of Mathematics and Statistics, Wright State University, Dayton, Ohio 45435, USA. xhou@euler.math.wright.edu;Department of Mathematics, Ohio State University, Columbus, Ohio 43210, USA. sehgal@math.ohio-state.edu
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2000

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Abstract

We give two generalizations of some known constructions of relative difference sets. The first one is a generalization of a construction of RDS by Chen, Ray-Chaudhuri and Xiang using the Galois ring iGR(4, im). The second one generalizes a construction of RDS by Ma and Schmidt from the setting of chain rings to a setting of more general rings.