Absolute Secrecy Asymptotic for Generalized Splitting Method

Generalized integer splitting differs from the plain one in use of a new random number at each step of the process. It assumed that the receiver is informed on these numbers and the splitting level k, and hence he is able to restore an original text using some known procedures from the number theory. The present paper contains a probabilistic analysis of the information secrecy of the generalized integer splitting method with respect to an unauthorized access to transmission channel. A lemma has been proved in the paper stating that the probability of the successful information restoration is exponentially reduced with increase of the splitting level. © 2020, Springer Nature Switzerland AG.