A tropical version of Stickel’s key exchange protocol was suggested
by Grigoriev and Sphilrain [2] and successfully attacked by Kotov and Ushakov
[5]. We suggest some modifications of this scheme that use commuting matrices in tropical algebra and discuss some possibilities of attacks on these new
modifications. We suggest some simple heuristic attacks on one of our new
protocols, and then we generalize the Kotov and Ushakov attack on Stickel’s
protocol and discuss the application of that generalised attack to all our new