Modification of the digital signature, developed on the nonpositional polynomial notations

Modification of the digital signature, based on nonpositional polynomial notations is developed. The signature algorithm model is based on the scheme of the Digital Signature Algorithm and nonpositional polynomial notations (NPNs). Application of NPNs allows creating effective cryptographic systems for high reliability, which enables the confidentiality, authentication and integrity of stored and transmitted information. Classical notations in residue number system (RNS), polynomial notations systems in RNS, modular arithmetic are the synonyms of NPNs.