Abstract
This article proposes options of electronic digital signature algorithms, the cryptographic strength of which is based on the complexity of computing a discrete logarithm in a finite field and the complexity of solving a problem of decomposing a sufficiently large odd number to prime factors, on the hash function used, as well as their cryptanalysis.
Unlike existing electronic digital signature algorithms (RSA, El-Gamal) in the proposed new electronic digital signature algorithm signature generation process – s, is carried out using a private parameter - ϕ(N).