Parallel generator of $q$-valued pseudorandom sequences based on arithmetic polynomials
This addresses the need for efficient pseudorandom sequence generation in cryptography, though it appears incremental as it builds on existing arithmetic polynomial methods.
The paper tackles the problem of generating q-valued pseudorandom sequences by proposing a new parallel method based on arithmetic polynomials, which allows obtaining a k-element fragment with a single calculation of a recursion formula. The results are applicable to high-performance cryptographic facilities for information protection.
A new method for parallel generation of $q$-valued pseudorandom sequence based on the presentation of systems generating logical formulae by means of arithmetic polynomials is proposed. Fragment consisting of $k$-elements of $q$-valued pseudorandom sequence may be obtained by means of single calculation of a single recursion numerical formula. It is mentioned that the method of the "arithmetization" of generation may be used and further developed in order to protect the encryption gears from cryptographic onset, resulting in the initiating of mass hardware failures. The achieved results may be widely applied to the realization of perspective high-performance cryptographic facilities for information protection.