On the application of post-quantum digital signatures in national ecosystems and platforms based on lattice theory

Crypto-primitives of electronic digital signature (EDS) are quite important components in any information security subsystem of national blockchain ecosystems and platforms. Most of the known EDS schemes are based on the assumption of the computational complexity of large number factorization problems (for example, RSA) or discrete logarithm (such as DSA and ECDSA). However, the obtained scientific and technical results in the field of post-quantum cryptology and quantum computing call into question the sufficiency of the known crypto-primitives of EDS. For this reason, the relevance of new, post-quantum EDS schemes based on such sections of mathematics that are capable of ensuring the quantum stability of the mentioned systems to intruder attacks using a quantum computer is growing. This article presents the results of a critical analysis of the known EDS schemes based on lattice theory. The emphasis is on the practical aspects of using these crypto primitives (efficiency, quantum stability, key size, etc.)