Hash-based cryptography, its security and feasibility in modern cryptosystems

Abstract

Hash-based signatures are one of the most promising classes of cryptographic schemes considered quantum resistant ones. The strength of cryptographic hash functions is one of the most important aspects of ensuring the security of hash-based schemes.
 Since classical hash-based signatures require tracking the number of signatures used, they were considered to be stateful for a long time. The SPHINCS scheme overcome this limitation, subsequently refined to SPHINCS+.
 The paper provides an assessment of the security of ES based on hash functions relative to side channel attacks.It also gives an analysis of recommendations for the use of one of the candidates of the NIST competition, based on hash cryptography - SPHINCS+, and conclusions about the feasibility of its use.