Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $-1$-differential uniformity of ternary APN power functions   Very recently, a new concept called multiplicative differential and the
corresponding $c$-differential uniformity were introduced by Ellingsen et al. A
function $F(x)$ over finite field $\mathrm{GF}(p^n)$ to itself is called
$c$-differential uniformity $\delta$, or equivalent, $F(x)$ is differentially
$(c,\delta)$ uniform, when the maximum number of solutions
$x\in\mathrm{GF}(p^n)$ of $F(x+a)-F(cx)=b$, $a,b,c\in\mathrm{GF}(p^n)$,
$c\neq1$ if $a=0$, is equal to $\delta$. The objective of this paper is to
study the $-1$-differential uniformity of ternary APN power functions
$F(x)=x^d$ over $\mathrm{GF}(3^n)$. We obtain ternary power functions with low
$-1$-differential uniformity, and some of them are almost perfect
$-1$-nonlinear.

27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph