Bent Functions, Partial Difference Sets, and Quasi-Frobenius Local Rings |
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Authors: | Xiang-dong Hou |
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Institution: | (1) Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, 45435 |
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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. |
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Keywords: | Bent function partial difference set local ring quasi-Frobenius ring |
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