აბსტრაქტი. Scientists are actively working on the creation of quantum computers. Quantum computers can easily solve the problem of factoring large numbers. Because of this, quantum computers are able to crack the crypto RSA system, which is used in many products. In the article it is proposed to replace the hash function with a lattice-based hash function in the standard Merkle scheme, and to use a one-way lattice-based function as a one-way function.