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A tropical version of Stickel's key exchange protocol was suggested by Grigoriev and Shpilrain (2014) and successfully attacked by Kotov and Ushakov (2018). 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 tropical Stickel's protocol and discuss the application of that generalized attack to all our new protocols.
|Number of pages||27|
|Journal||Applications of Mathematics|
|Early online date||27 Oct 2020|
|Publication status||Published - 1 Dec 2020|
- Stickel's protocol
- commuting matrices
- tropical algebra
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- 1 Finished
Engineering & Physical Science Research Council
1/04/17 → 31/08/19
Project: Research Councils