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Bent Functions, Partial Difference Sets, and Quasi-Frobenius Local Rings
Authors:Xiang-dong Hou
Institution:(1) Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, 45435
Abstract:Bent functions andpartial difference sets have been constructed from finite principalideal local rings. In this paper, the constructions are generalizedto finite quasi-Frobenius local rings. Let R bea finite quasi-Frobenius local ring with maximal ideal M.Bent functions and certain partial difference sets on M } M are extended to R } R.
Keywords:Bent function  partial difference set  local ring  quasi-Frobenius ring
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