Using the Simplex Code to Construct Relative Difference Sets in 2-groups |
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| Authors: | James A. Davis Surinder K. Sehgal |
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| Affiliation: | (1) Department of Mathematics, University of Richmond, Richmond, VA, 23173;(2) Ohio State University, Columbus, OH, 43210 |
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| Abstract: | Relative Difference Sets with the parameters (2a, 2b, 2a, 2a-b) have been constructed many ways (see davis, EB, jung, maschmidt, and pottsurvey for examples). This paper modifies an example found in arasusehgal to construct a family of relative difference sets in 2-groups that gives examples for b = 2 and b = 3 that have a lower rank than previous examples. The Simplex code is used in the construction. |
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| Keywords: | Simplex code relative difference sets 2-groups |
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