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Designs, Intersecting Families, and Weight of Boolean Functions

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Cryptography and Coding (Cryptography and Coding 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1746))

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Abstract

Determining the weight of Boolean functions is of exponential complexity. By using combinatorial results, it is proved that from their algebraic normal form (ANF), it is possible to have polynomial time results on the weight, for some classes of functions. As a result, the structure of the majority functions MAJ 2q-1 is given.

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© 1999 Springer-Verlag Berlin Heidelberg

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Filiol⋆, E. (1999). Designs, Intersecting Families, and Weight of Boolean Functions. In: Walker, M. (eds) Cryptography and Coding. Cryptography and Coding 1999. Lecture Notes in Computer Science, vol 1746. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46665-7_7

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  • DOI: https://doi.org/10.1007/3-540-46665-7_7

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  • Print ISBN: 978-3-540-66887-9

  • Online ISBN: 978-3-540-46665-9

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