The paper identifies and substantiates the requirements and ways to implement these requirements at the synthesis of proof-stable perspective electronic signatures. Today there is a problem of building post-quantum electronic signatures. At the stages of solving this problem, a wide range of requirements for technical, technical-economical and other capabilities is formed. At the national and international levels, in the most generalized form, these requirements are implemented at the NIST USA level during the NIST PQC competition for electronic signatures, asymmetric ciphers and key encapsulation protocols. In Ukraine, work is also underway to synthesize such post-quantum cryptotransformations. Requirements in these areas are justified and approved at the state level. The peculiarity of the national requirements is that the requirements for protection against special quantum attacks and attacks through side channels have been significantly increased.