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Characterizing Negabent Boolean Functions over Finite Fields

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Book cover Sequences and Their Applications – SETA 2012 (SETA 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7280))

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Abstract

We consider negabent Boolean functions that have Trace representation. To the best of our knowledge, this is the first ever work on negabent functions with such representation. We completely characterize negabent quadratic monomial functions. We also present necessary and sufficient condition for a Maiorana-McFarland bent function to be a negabent function. As a consequence of that result we present a nice characterization of a bent-negabent Maiorana-McFarland function which is based on the permutation \(x \mapsto x^{2^i}\).

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Calgary, Canada

    Sumanta Sarkar

Authors
  1. Sumanta Sarkar
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Editors and Affiliations

  1. Department of Informatics, University of Bergen, P.O. Box 7803, 5020, Bergen, Norway

    Tor Helleseth

  2. Department of Mathematics, Simon Fraser University, 8888 University Drive, V5A 1S6, Burnaby, BC, Canada

    Jonathan Jedwab

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© 2012 Springer-Verlag Berlin Heidelberg

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Sarkar, S. (2012). Characterizing Negabent Boolean Functions over Finite Fields. In: Helleseth, T., Jedwab, J. (eds) Sequences and Their Applications – SETA 2012. SETA 2012. Lecture Notes in Computer Science, vol 7280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30615-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-30615-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30614-3

  • Online ISBN: 978-3-642-30615-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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