We examine two public key exchange protocols proposed recently by Grigoriev and Shpilrain (arXiv:1811.06386), which use tropical algebra. We introduce a fast attack on the first protocol, and we show that the second protocol cannot be implemented as described.

翻译：我们审视了Grigoriev和Shpilrain(arXiv:1811.06386)最近提出的使用热带代数的两个公共关键交换议定书。 我们对第一个议定书进行了快速攻击,并表明第二个议定书无法如所述执行。