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The Rayleigh Quotient of Bent Functions

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Cryptography and Coding (IMACC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5921))

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Abstract

The Rayleigh quotient of a bent function is an invariant under the action of the orthogonal group, and it measures the distance of the function to its dual. An efficient algorithm is derived that generates all bent functions of given Rayleigh quotient. The Rayleigh quotient of some bent functions obtained by primary (Maiorana McFarland, Dillon) or secondary (direct and indirect sum) constructions is computed.

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References

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Author information

Authors and Affiliations

  1. The Selmer Center, Department of Informatics, University of Bergen, PB 7800, N-5020, Bergen, Norway

    Lars Eirik Danielsen & Matthew G. Parker

  2. TelecomParisTech, Dept Comelec, CNRS LTCI, Paris, France

    Patrick Solé

Authors
  1. Lars Eirik Danielsen
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  2. Matthew G. Parker
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  3. Patrick Solé
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Editor information

Editors and Affiliations

  1. The Selmer Centre Department of Informatics, University of Bergen, P.O. Box 7800, N-5020, Bergen, Norway

    Matthew G. Parker

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© 2009 Springer-Verlag Berlin Heidelberg

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Danielsen, L.E., Parker, M.G., Solé, P. (2009). The Rayleigh Quotient of Bent Functions. In: Parker, M.G. (eds) Cryptography and Coding. IMACC 2009. Lecture Notes in Computer Science, vol 5921. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10868-6_25

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  • DOI: https://doi.org/10.1007/978-3-642-10868-6_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10867-9

  • Online ISBN: 978-3-642-10868-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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