Novel pseudo-random number generation method based on multi-time-delay non-adjacent coupling grids

Abstract

The invention discloses a novel pseudo-random number generation method based on a multi-time-delay non-adjacent coupling grid. The method comprises the following steps: cascading Logistic mapping and piecewise linear mapping (PWLCM) to generate a chaotic sequence; performing error measurement on Chebyshev mapping and Logistic mapping by using an unscented Kalman filtering algorithm, and compensating precision loss by adding random disturbance; a time-delay time-varying function is used for disturbing the time direction of non-adjacent coupling mapping grids, and the problems of short period phenomenon, narrow parameter range, blank window and the like of a chaotic system are solved by using a cascade multiple chaos and error compensation method.

Description

technical field [0001] The invention belongs to the field of information security, and discloses a novel pseudo-random number generation method, in particular to a novel pseudo-random number generation method based on multi-time-delay non-adjacent coupled lattices. Background technique [0002] Pseudo-random sequences play a very important role in the field of information security. For example, in image encryption algorithms based on block ciphers, many researchers use pseudo-random sequences as key generators, while in stream ciphers, pseudo-random sequences are more is directly involved in the encryption process. In previous research, we can get the conclusion that "the performance of pseudo-random sequence can affect the security of an encryption system". Therefore, it is necessary to design a safe and efficient pseudo-random number generator. [0003] Most of the pseudo-random number generators are generated by linear congruence generation method, m sequence generation...

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Problems solved by technology

[0006] The present invention is aimed at the short-period phenomenon, narrow parameter range and blank window in the chaotic system in the prior art, and provides a new pseudo-random number generation method based on multi-delay non-adjacent coupling lattices, including cascaded Logistic mapping and piecewise linear mapping (PWLCM) to generate chaotic sequences; use the unscented Kalman filter algorithm to measure the error of Chebyshev mapping and Logistic mapping, and compensate the loss of accuracy by adding random perturbations; use time-delay time-varying functions for non-adjacent coupling mapping The time direction of the grid is perturbed to solve the problem of uneven distribution of the periodic window and pseudo-random sequence in the iterative process of chaos, and it can effectively resist the chaotic degradation behavior of the chaotic system

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