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    TIT
    2008
    130views more  TIT 2008»
    Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
    13 years 5 months ago
    Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
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    Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
    Sihem Mesnager
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    CRYPTO
    2006
    Springer
    125views Cryptology» more  CRYPTO 2006»
    On the Higher Order Nonlinearities of Algebraic Immune Functions
    13 years 8 months ago
    On the Higher Order Nonlinearities of Algebraic Immune Functions
    Download  www.iacr.org
    Abstract. One of the most basic requirements concerning Boolean functions used in cryptosystems is that they must have high algebraic degrees. This simple criterion is not always w...
    Claude Carlet
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    DAGSTUHL
    2006
    154views Software Engineering» more  DAGSTUHL 2006»
    The complexity of Boolean functions from cryptographic viewpoint
    13 years 6 months ago
    The complexity of Boolean functions from cryptographic viewpoint
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    Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...
    Claude Carlet
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    INDOCRYPT
    2005
    Springer
    169views Cryptology» more  INDOCRYPT 2005»
    On the Algebraic Immunity of Symmetric Boolean Functions
    13 years 10 months ago
    On the Algebraic Immunity of Symmetric Boolean Functions
    Download  eprint.iacr.org
    In this paper, we analyse the algebraic immunity of symmetric Boolean functions. We identify a set of lowest degree annihilators for symmetric functions and propose an efficient al...
    An Braeken, Bart Preneel
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    JCST
    2011
    94views more  JCST 2011»
    Construction of 1-Resilient Boolean Functions with Optimal Algebraic Immunity and Good Nonlinearity
    12 years 11 months ago
    Construction of 1-Resilient Boolean Functions with Optimal Algebraic Immunity and Good Nonlinearity
    Download  eprint.iacr.org
    Sen-Shan Pan, Xiao-Tong Fu, Wei-Guo Zhang
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