A new construction of a cryptographic generator which produces a p-ary pseudo random sequence (PRS) is proposed in this paper. The special features of architecture, called Generalized Shrinking-Multiplexing Generator (GSMG), are analyzed. The new method transforming an output p-ary GSMG sequence into binary is investigated. Finally, it is proofed that the output GSMG binary sequence is balanced and it does not contain any subsequence of 2 ⎡log 2 (p−1)⎤ consecutive 1s or 0s. The established GSMG properties show that the PRSs generated by GSMG are suitable for high-speed cryptographic applications in the stream ciphers.
The information distortions during the signal processing at the receivers of a communication system are very undesirable, because they can be compensated only by means of increasing of transmitted energy. This leads to decreasing of system secrecy and its effectiveness. Due to this reason in our paper we suggest a mathematical algorithm for processing of communication signals, which can be executed by mass cheap microcontrollers with maximal possible accuracy and study the practical application of the algorithm in the present radar and communication systems.
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