Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vectorial Resilient $PC(l)$ of Order $k$ Boolean Functions from AG-Codes   Propagation criterion of degree $l$ and order $k$ ($PC(l)$ of order $k$) and
resiliency of vectorial Boolean functions are important for cryptographic
purpose (see [1, 2, 3,6, 7,8,10,11,16]. Kurosawa, Stoh [8] and Carlet [1] gave
a construction of Boolean functions satisfying $PC(l)$ of order $k$ from binary
linear or nonlinear codes in. In this paper, algebraic-geometric codes over
$GF(2^m)$ are used to modify Carlet and Kurosawa-Satoh's construction for
giving vectorial resilient Boolean functions satisfying $PC(l)$ of order $k$.
The new construction is compared with previously known results.

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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph