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A New Representation of Boolean Functions

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1719))

Abstract

We study a representation of Boolean functions (and more generally of integer-valued / complex-valued functions), not used until now in coding and cryptography,which yields more information than the currently known representations,on the combinatorial, spectral and cryptographic properties of the functions.

AMS classification numbers: 06E30, 11T23, 94A60.

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References

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Author information

Authors and Affiliations

  1. INRIA Projet CODES, GREYC Université de Caen, France, 105, 78153 Le Chesnay Cedex, France

    Claude Carlet

  2. Thomson-CSF Communication, 66 rue du Fossé blanc, 92231 Gennevilliers Cedex, France

    Philippe Guillot

Authors
  1. Claude Carlet
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  2. Philippe Guillot
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Hawaii, 2540 Dole St., # 483, Honolulu, HI, 96822, USA

    Marc Fossorier  & Shu Lin  & 

  2. Institute of Industrial Science, University of Tokyo, 7-22-1, Roppongi, Minato-ku, Tokyo, 106, Japan

    Hideki Imai

  3. AAECC/IRIT, Université Paul Sabatier, 118, Route de Narbonne, F31067, Toulouse, Cedex, France

    Alain Poli

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© 1999 Springer-Verlag Berlin Heidelberg

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Carlet, C., Guillot, P. (1999). A New Representation of Boolean Functions. In: Fossorier, M., Imai, H., Lin, S., Poli, A. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1999. Lecture Notes in Computer Science, vol 1719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46796-3_10

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  • DOI: https://doi.org/10.1007/3-540-46796-3_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66723-0

  • Online ISBN: 978-3-540-46796-0

  • eBook Packages: Springer Book Archive

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