The pros and cons of the chaotic pseudo-random sequence generator mainly depend on the randomness and complexity of the chaotic binary sequence. In recent years, related scholars have also proposed a variety of PRBGs based on chaotic systems. Using chaos theory to design PRBG has become a new direction of current research. On the other hand, while traditional cryptography is being studied, chaotic systems have attracted extensive attention from relevant scholars because of their good characteristics such as initial value sensitivity, noise-like, topological transitivity, ergodicity, and long-term unpredictability. The construction of nonlinear M-sequences has not yet been completely solved theoretically, and there are few construction methods. However, m-sequences are constructed based on linear feedback shift registers and primitive polynomials, and their linearity is easy to be cracked.
Traditional PRBGs are generally constructed based on m-sequence or M-sequence, which has good noise-like, autocorrelation, run-length distribution, and 0–1 balance. The quality of a stream cipher mainly depends on the complexity and randomness of the binary sequence (i.e., keystream) generated by PRBG. For such ciphers, the pseudo-random bit generator (PRBG) is its core component. Sequence ciphers are also called stream ciphers. Among the symmetric encryption algorithms, serial ciphers maintain advantages in wireless secure communications and dedicated encryption machines due to their simple structure, easy hardware implementation, limited error propagation, and fast encryption speed. As one of the important means to ensure information security, the encryption algorithm has been widely used. At present, with the rapid development of embedded technology, mobile communications, and the Internet, information security has become increasingly significant.
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