论文标题
有限字段的新P $ C $ N和AP $ C $ N功能
New P$c$N and AP$c$N functions over finite fields
论文作者
论文摘要
提出了$ 2020 $的$ C $差异均匀性的功能，并引起了很多关注，尤其是P $ C $ n和ap $ c $ n功能，这是由于它们在加密术中的应用。本文的目的是研究p $ c $ n和ap $ c $ n功能。结果，我们通过使用环形技术和开关方法提出了一类P $ C $ N功能和四类AP $ C $ N功能。此外，通过（广义）AGW标准提出了四类P $ c $ n或ap $ c $ n功能。
Functions with low $c$-differential uniformity were proposed in $2020$ and attracted lots of attention, especially the P$c$N and AP$c$N functions, due to their applications in cryptography. The objective of this paper is to study P$c$N and AP$c$N functions. As a consequence, we propose a class of P$c$N functions and four classes of AP$c$N functions by using the cyclotomic technique and the switch method. In addition, four classes of P$c$N or AP$c$N functions are presented by virtue of (generalized) AGW criterion.
