This article analyzes a key exchange protocol based on the triad tropical semiring, recently proposed by Jackson, J. and Perumal, R. We demonstrate that the triad tropical semiring is isomorphic to a circulant matrix over tropical numbers. Consequently, matrices in this semiring can be represented as tropical matrices. As a result, we conduct a cryptanalysis of the key exchange protocol using an algorithm introduced by Sulaiman Alhussaini, Craig Collett, and Sergei Sergeev to solve the double discrete logarithm problem over tropical matrices

翻译：本文分析了Jackson, J.与Perumal, R.近期提出的基于三元热带半环的密钥交换协议。我们证明了该三元热带半环同构于热带数上的循环矩阵。因此，该半环中的矩阵可表示为热带矩阵。基于此，我们利用Sulaiman Alhussaini、Craig Collett和Sergei Sergeev提出的求解热带矩阵上双离散对数问题的算法，对该密钥交换协议进行了密码分析。