# Bent function

## Papers overview

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Highly Cited

2006

Highly Cited

2006

- IEEE Transactions on Information Theory
- 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 contributionâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- J. Comb. Theory, Ser. A
- 2006

A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a newâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- IEEE Transactions on Information Theory
- 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 ofâ€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- IEEE Trans. Information Theory
- 2003

In a recent paper [1], it is shown that the restrictions of bent functions to subspaces of codimension 1 and 2 are highlyâ€¦Â (More)

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Highly Cited

1998

Highly Cited

1998

- Des. Codes Cryptography
- 1998

Almost bent functions oppose an optimum resistance to linear and differential cryptanalysis. We present basic properties ofâ€¦Â (More)

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1998

1998

- Discrete Mathematics
- 1998

For any Boolean function f on GF(2)â€œ, we define a sequence of ranks ri(f), 1 <i <m, which are invariant under the action of theâ€¦Â (More)

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Highly Cited

1994

Highly Cited

1994

- FSE
- 1994

Abs t rac t . A genera] explicit construction of bent functions is described, which unifies well known constructions due toâ€¦Â (More)

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Highly Cited

1993

Highly Cited

1993

- Des. Codes Cryptography
- 1993

We study a conjecture stated in [6] about the numbers of non-zeros of, respectively, the auto-correlation function and the Walshâ€¦Â (More)

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Highly Cited

1993

Highly Cited

1993

- EUROCRYPT
- 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 knownâ€¦Â (More)

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Highly Cited

1982

Highly Cited

1982

- IEEE Trans. Information Theory
- 1982

&s&act-In this paper we construct a new family of nonlinear binary signal sets which achieve Welchâ€™s lower bound on simultaneousâ€¦Â (More)

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