Abstract
The research and development of a cryptographic algorithm based on polylinear algebra using blockchain methodology is a current challenge in the field of cryptography. Blockchain methodology includes a set of principles, approaches and technologies that are used to create and manage decentralized systems. This work aims to develop an efficient cryptographic algorithm that combines polylinear algebra methods and blockchain technology. The aim of the research is to develop a cryptosystem devoid of the disadvantages of known solutions, which ensures high persistence and scalability of the systems. The paper presents a review of existing approaches, comparative analysis of the efficiency of known solutions, development of a new algorithm, cryptanalysis and security evaluation of the proposed solution. The work also includes a study of the performance and scalability of the developed algorithm. The proposed approach demonstrates a high level of protection against various crypto-analytic attacks and has the potential to create secure decentralized applications. In addition, as part of the study, detailed testing of the algorithm's performance in various use scenarios will be carried out. This will allow you to evaluate its performance both under low load conditions and at high transaction volumes, which is critical for modern decentralized applications. Thus, the proposed approach will prove to be an important contribution to the development of secure and scalable solutions for the modern digital world.