DEVELOPMENT OF CRYPTOCODE CONSTRUCTIONS BASED ON ALGEBRAIC, LDPC, AND DAMAGE CODES

The development of post-quantum technologies calls into question the cryptographic strength of modern symmetric and asymmetric cryptosystems. With the advent of a full-scale quantum computer, such systems will not be able to provide the required level of cryptographic strength (level 5 according to the US NIST scale). The competition of post-quantum algorithms has revealed a tendency towards the construction of cryptosystems based on the synthesis (integration) of security theories with Galois theory. Among the winners of post-quantum algorithms are the crypto-code constructions (CCC) of McEliece and Niederreiter, which make it possible to comprehensively provide the necessary level of protection and increase the level of probability of information transfer. But a significant drawback is the possibility of hacking such systems using linear codes, as well as the need to build them on the Galois field 210–213, which significantly reduces their ability to build systems based on intelligent technologies and mesh networks. The work proposes the use of symmetric CCC (SCCC) based on the Rao-Nama scheme (SCCC R-N) on MEC (modified elliptic codes), LDPC, and damage codes, which makes it pos