Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An extension of the avalanche criterion in the context of
  c-differentials   The Strict Avalanche Criterion (SAC) is a property of vectorial Boolean
functions that is used in the construction of strong S-boxes. We show in this
paper how to generalize the concept of SAC to address possible c-differential
attacks, in the realm of finite fields. We define the concepts of c-Strict
Avalanche Criterion (c-SAC) and c-Strict Avalanche Criterion of order m
(c-SAC(m)), and generalize results of (Li and Cusick, 2005). We also show
computationally how the new definition is not equivalent to the existing
concepts of c-bent1-ness (Stanica et al., 2020), nor (for n = m) PcN-ness
(Ellingsen et al., 2020)

3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom