Cybersecurity in robotics is a critical and growing concern as robotics technology becomes more integrated into various industries. Robots, which rely on intelligent systems and interconnected devices, are increasingly vulnerable to cyberattacks. Below are the key aspects of cybersecurity in robotics. The application of an asymmetric ciphering computational process based on the complexity of multiplications with parameters and the finite group logarithm problem (DLP) to the Electronic Digital authentication Protocol (EDSP) significantly enhances the security of digital communications. This approach leverages the intractability of specific number-theoretic problems to ensure the integrity, authenticity, and non-repudiation of digital messages. The protocol involves the use of a private key to sign a hash of a message and a public key for verification, utilizing the mathematical difficulty of solving the DLP to safeguard the signature. By combining these cryptographic principles, the system ensures that the digital authentication is resistant to forgery, thereby guaranteeing secure communication. The paper explores the application of the DLP and multiplications with parameters in digital authentication schemes like DSA, ElGamal, and ECDSA, highlighting the efficiency and security benefits of these methods. Asymmetric ciphering based on these principles forms the backbone of many secure communication protocols, offering reliable solutions for authentication and message integrity across various digital platforms. In the article, protocols for implementing an electronic digital authentication using an asymmetric ciphering computational process, created based on the complexity of parametric matrix multiplication and the solution of the finite group logarithm problem in a finite field, were developed. These protocols allow the signer to use an arbitrary number of their choice to generate the signature.