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A Construction of Difference Sets

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Abstract

In this paper, we will give a construction of a family of\((4q^{2n + 2} \frac{{q^{2n + 2} - 1}}{{q^2 - 1}},q^{2n + 1} [\frac{{2(q^{2n + 2} - 1)}}{{q + 1}} + 1],(q^{2n + 2} - q^{2n + 1} )\frac{{q^{2n + 1} + 1}}{{q + 1}})\)-difference sets in thegroup \(K \times G\), where q is any power of 2, K is any group with\(|K| = \frac{{q^{2n + 2} - 1}}{{q^2 - 1}}\) and G is an abelian 2-group of order \(4q^{2n + 2} \) which contains anelementary abelian subgroup of index 2.

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, OH, 43210-1174

    Yu Qing Chen

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  1. Yu Qing Chen
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Chen, Y.Q. A Construction of Difference Sets. Designs, Codes and Cryptography 13, 247–250 (1998). https://doi.org/10.1023/A:1008293722325

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  • DOI: https://doi.org/10.1023/A:1008293722325

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