On some properties of self-dual bent functions
نویسندگان
چکیده
منابع مشابه
Self-dual bent functions
A bent function is called self-dual if it is equal to its dual. It is called anti-self-dual if it is equal to the complement of its dual. A spectral characterization in terms of the Rayleigh quotient of the Sylvester Hadamard matrix is derived. Bounds on the Rayleigh quotient are given for Boolean functions in an odd number of variables. An efficient search algorithm based on the spectrum of th...
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For weakly regular bent functions in odd characteristic the dual function is also bent. We analyse a recently introduced construction of nonweakly regular bent functions and show conditions under which their dual is bent as well. This leads to the definition of the class of dual-bent functions containing the class of weakly regular bent functions as a proper subclass. We analyse self-duality fo...
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Kumar et al.(1985) have extended the notion of classical bent Boolean functions in the generalized setup on Zq . They have provided an analogue of classical Maiorana-McFarland type bent functions. In this paper, we study the crosscorrelation of a subclass of such generalized MaioranaMcFarland (GMMF) type bent functions. We provide a construction of quaternary (q = 4) bent functions on n + 1 var...
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In [2] some results on PS bent functions were recently published. With the help of an alternative proof for the degree of a subclass of PS bent functions, we show that most of the results presented in [2] cannot be applied to the whole class of PS bent functions, but only to a subset of such bent functions.
متن کاملBent Functions With Stronger Nonlinear Properties: k-Bent Functions
We introduce the notion of k-bent function, i.e., a Boolean function with even numberm of variables v1, . . . , vm that can be approximated with all functions of the form 〈u,v〉j ⊕ a in the equally bad manner, where u ∈ Z2 , a ∈ Z2, and 1 6 j 6 k. Here 〈·, ·〉j is an analog of the inner product of vectors; k changes from 1 to m/2. The operations 〈·, ·〉k , 1 6 k 6 m/2, are defined by using the spe...
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ژورنال
عنوان ژورنال: Prikladnaya diskretnaya matematika. Prilozhenie
سال: 2018
ISSN: 2226-308X
DOI: 10.17223/2226308x/11/13