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Some new families of partial difference sets in finite fields

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Abstract

In this paper we present some new cyclotomic families of partial difference sets. The argument rests on a general procedure for constructing cyclotomic difference sets or partial difference sets in Galois domains due to Ott (Des Codes Cryptogr, doi:10.1007/s10623-015-0082-6, 2015). Definitions and various properties of partial difference sets can be found for instance in Ma (Des Codes Cryptogr 4:221–261, 1994).

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Authors and Affiliations

  1. Technische Universität Braunschweig, Braunschweig, Germany

    Udo Ott

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  1. Udo Ott
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Correspondence to Udo Ott.

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In Memoriam Professor Dr. Günter Pickert

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Ott, U. Some new families of partial difference sets in finite fields. J. Geom. 107, 267–278 (2016). https://doi.org/10.1007/s00022-015-0299-6

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  • DOI: https://doi.org/10.1007/s00022-015-0299-6

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