Bent function

Known as: Almost bent function, Hyper-bent function, Crooked function 
In the mathematical field of combinatorics, a bent function is a special type of Boolean function. This means it takes several inputs and gives one… (More)
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Related topics

Related topics

25 relations
Algebraic normal formAutocorrelationAvalanche effectBalanced boolean function
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Broader (1)

Boolean algebra

Papers overview

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Highly Cited
2006
Highly Cited
2006
Monomial bent functions
In this correspondence, we focus on bent functions of the form F(2 n) rarr F(2) where x rarr Tr(alphaxd). The main contribution… (More)
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Highly Cited
2006
Highly Cited
2006
Construction of bent functions via Niho power functions
A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new… (More)
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Highly Cited
2006
Highly Cited
2006
Monomial and quadratic bent functions over the finite fields of odd characteristic
Considered are p-ary bent functions having the form f(x)=Tr/sub n/(/spl sigma//sub i=0//sup s/a/sub i/x/sup di/). A new class of… (More)
  • table I
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Highly Cited
2003
Highly Cited
2003
Decomposing bent functions
In a recent paper [1], it is shown that the restrictions of bent functions to subspaces of codimension 1 and 2 are highly… (More)
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Highly Cited
1998
Highly Cited
1998
Codes, Bent Functions and Permutations Suitable For DES-like Cryptosystems
Almost bent functions oppose an optimum resistance to linear and differential cryptanalysis. We present basic properties of… (More)
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1998
1998
Cubic bent functions
For any Boolean function f on GF(2)“, we define a sequence of ranks ri(f), 1 <i <m, which are invariant under the action of the… (More)
  • table 2
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Highly Cited
1994
Highly Cited
1994
Construction of Bent Functions and Balanced Boolean Functions with High Nonlinearity
Abs t rac t . A genera] explicit construction of bent functions is described, which unifies well known constructions due to… (More)
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Highly Cited
1993
Highly Cited
1993
Partially-Bent Functions
We study a conjecture stated in [6] about the numbers of non-zeros of, respectively, the auto-correlation function and the Walsh… (More)
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Highly Cited
1993
Highly Cited
1993
Two New Classes of Bent Functions
We introduce a new class of bent functions on (GF(2))" ( n even). We prove that this class is not included in one of the known… (More)
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Highly Cited
1982
Highly Cited
1982
Bent-function sequences
&s&act-In this paper we construct a new family of nonlinear binary signal sets which achieve Welch’s lower bound on simultaneous… (More)
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  • figure 2
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