This study presents a secret key sharing protocol that establishes cryptographically secured communication between two entities. A new symmetric key exchange scenario for smart city applications is presented in this research. The protocol is based on the specific properties of the Fuss-Catalan numbers and the Lattice Path combinatorics. The proposed scenario consists of three phases: generating a Fuss-Catalan object based on the grid dimension, defining the movement in the Lattice Path Grid and defining the key equalisation rules. In the experimental part, the authors present the security analysis of the protocol as well as its test. Also, they examine the equivalence of the proposed with Maurer's satellite scenario and suggest a new scenario that implements an information-theoretical protocol for the public key distribution. Additionally, a comparison with related studies and methods is provided, as well as a comparison with satellite scenario, which proves the advantages of solution presented by the authors. Finally, they propose further research directions regarding key management in smart city applications.

中文翻译：

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智慧城市应用的密码密钥交换模型

这项研究提出了一个秘密密钥共享协议，该协议在两个实体之间建立了加密安全的通信。这项研究提出了一种新的用于智能城市应用的对称密钥交换方案。该协议基于Fuss-Catalan数字和Lattice Path组合器的特定属性。拟议的方案包括三个阶段：基于网格尺寸生成Fuss-Catalan对象，定义“晶格网格”中的运动以及定义关键均衡规则。在实验部分，作者介绍了该协议的安全性分析及其测试。此外，他们研究了提议的方案与Maurer卫星方案的等效性，并提出了一种新方案，该方案实现了用于公共密钥分发的信息理论协议。另外，通过与相关研究和方法的比较，以及与卫星情景的比较，证明了作者提出的解决方案的优势。最后，他们提出了有关智慧城市应用中密钥管理的进一步研究方向。