Quantum attack against post-quantum electronic signature complexity and implementation probability analysis

Abstract

The paper identifies and analyzes attacks aimed at Rainbow post-quantum electronic signature cryptanalysis. Today, due to advances in the quantum computers development, the need to present new standards for electronic signatures resistant to both quantum and classical cryptanalysis arisen. To solve the lack of such electronic signatures, NIST USA is running the NIST PQC competition. As part of this competition some electronic signatures designed to resist quantum cryptanalysis were presented, including Rainbow electronic signature. CZ-Rainbow and the compressed Rainbow algorithm were also presented along with the regular Rainbow algorithm. This paper analysis attacks on all three types of electronic signature. The possibility of a quantum attack against the Rainbow electronic signature, as well as the complexity of such an attack, defines the possibility of this electronic signature usage during the post-quantum period.