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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Highly Cited
2006
Highly Cited
2006
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
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
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)
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Highly Cited
2003
Highly Cited
2003
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
Almost bent functions oppose an optimum resistance to linear and differential cryptanalysis. We present basic properties of… (More)
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1998
1998
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
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
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
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
&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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