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Constructions of Partial Difference Sets and Relative DifferenceSets Using Galois Rings

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Abstract

We use Galois rings to construct partial differencesets and relative difference sets in non-elementary abelian p-groups.As an example, we also use Galois ring GR(4,2) toconstruct a (96,20,4) difference set in Z4×Z4×Z6.

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Authors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, OH, 43210

    D. K. Ray-Chaudhuri

  2. Department of Mathematics, California Instituteof Technology, Pasadena, CA, 91125

    Qing Xiang

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  1. D. K. Ray-Chaudhuri
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  2. Qing Xiang
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Ray-Chaudhuri, D.K., Xiang, Q. Constructions of Partial Difference Sets and Relative DifferenceSets Using Galois Rings. Designs, Codes and Cryptography 8, 215–227 (1996). https://doi.org/10.1023/A:1018001512706

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  • DOI: https://doi.org/10.1023/A:1018001512706

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