To any nilpotent group of class n, one can associate a non-interactive key exchange protocol between n+1 users. The multilinear commutator maps associated to nilpotent groups play a key role in this protocol. In the present paper, we discuss the security of this key exchange when applied to finite p-groups and explore some alternative platforms, such as pro-p groups.
翻译:对于任何无能力n类组,人们可以将n+1用户之间的非交互式关键交换协议联系起来。与无能力组相关的多线式通勤地图在该议定书中发挥着关键作用。在本文件中,我们讨论了这一关键交换在应用到有限的小组时的安全性,并探索了某些替代平台,例如亲普小组。