Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-linearity of the Carlet-Feng function, and repartition of Gauss sums   The search for Boolean functions that can withstand the main crypyographic
attacks is essential. In 2008, Carlet and Feng studied a class of functions
which have optimal cryptographic properties with the exception of nonlinearity
for which they give a good but not optimal bound. Carlet and some people who
have also worked on this problem of nonlinearity have asked for a new answer to
this problem. We provide a new solution to improve the evaluation of the
nonlinearity of the Carlet-Feng function, by means of the estimation of the
distribution of Gauss sums. This work is in progress and we give some
suggestions to improve this work.

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The categories of this paper are: atom-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex