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Some Power Mappings with Low Differential Uniformity

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 Differentially uniform power mappings of the form f (x)=x d over GF(p n) are considered. We construct an infinite family of 2-uniform mappings in the binary case. In the nonbinary case we give two large families of k-uniform mappings with low values of k. We also show how to construct families of sequences from differentially 1-uniform power mappings, which have parameters as good as the best presently known comparable families of sequences.

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Authors and Affiliations

  1. Department of Informatics, University of Bergen, Høyteknologisenteret, N-5020 Bergen, Norway, , , , , , NO

    Tor Helleseth & Daniel Sandberg

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  1. Tor Helleseth
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  2. Daniel Sandberg
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Received: November 4, 1996; revised version: February 14, 1997

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Helleseth, T., Sandberg, D. Some Power Mappings with Low Differential Uniformity. AAECC 8, 363–370 (1997). https://doi.org/10.1007/s002000050073

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  • DOI: https://doi.org/10.1007/s002000050073

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