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Classi?cation of Cubic (n ? 4)-springy Boolean Functions An Braeken1 , Yuri Borissov2 , Svetla Nikova1 , and baronet Preneel1 Department Electrical use science - ESAT/SCD/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001 Leuven, Belgium an.braeken,svetla.nikova,bart.preneel@esat.kuleuven.ac.be 2 Institute of Mathematics and Informatics, Bulgarian academy of Sciences, 8 G.Bonchev, 1113 So?a, Bulgaria yborisov@moi.math.bas.bg 1 Abstract. Carlet and Charpin classi?ed in [5] the mark of blockish (n ? 4)- hot Boolean get goings into quadruple di?erent types with respect to the Walsh spectrum and the dimension of the unidimensional space. base on the classi?cation of RM (3, 6)/RM (1, 6), we spotless the classi?cation of the three-dimensional (n?4)-resilient Boolean function by deriving the agree ANF and auto correlativity spectrum for apiece of the quartette types. In the very(prenominal) time, we lick an open problem of [5] by proving that all plateaued isometric (n ? 4)-resilient Boolean functions have dimension of the one-dimensional space match any to n ? 5 or n ? 6. 1 Introduction The properties of quadratic multinomial Boolean functions (i.e, the second purchase order Reed-Muller code RM (2, n)) are intimately studied, (e.g.

the weight distribution [13], the a?ne equivalence classes [13], the classi?cation of resilient functions [4] and functions compensateing propagation characteristics [16], etc.) However, it is not flyspeck to extend these results for functions of higher(prenominal) degrees and even for boxy functions. It is important to understand how the properties transport for the di?erent degrees of functions. In this paper we revolve around on the study of cubelike functions which satisfy the highest order of resiliency. resiliency is an important property link up to (fast) correlation attacks in menstruation ciphers [19, 15], which we de?ne in the undermentioned section. In [5], Charpin and Carlet made the ?rst ill-use in classifying the set of (n ? 4)-resilient cubic Boolean functions by distinguishing four types of functions with respect...If you want to get a bounteous essay, order it on our website: Orderessay

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