Abstract
Symmetric cryptography methods have an important role in security solutions design in data protection. In that context, symmetric cryptography algorithms and pseudo-random generators connected with them have strong influence on designed security solutions. In the computationally constrained environment, security efficiency is also important. In this paper we proposed the design of a new efficient pseudo-random generator parameterized by two pseudo-random sequences. By the probabilistic, information-theoretic and number theory methods we analyze characteristics of the generator. Analysis produced several results. We derived sufficient conditions, regarding parameterizing sequences, so that the output sequence has uniform distribution. Sufficient conditions under which there is no correlation between parameterizing sequences and output sequence are also derived. Moreover, it is shown that mutual information between the output sequence and parameterizing sequences tends to zero when the generated output sequence length tends to infinity. Regarding periodicity, it is shown that, with appropriately selected parameterizing sequences, the period of the generated sequence is significantly longer than the periods of the parameterizing sequences. All this characteristics are desirable regarding security applications. The efficiency of the proposed construction can be achieved by selection parameterizing sequences from the set of efficient pseudo-random number generators, for example, multiple linear feedback shift registers.
Highlights
The expansion of communication and network technologies, as well as technological advances in the design and implementation of microprocessor devices, have led to the ability to informational connecting different devices and creation of intelligent systems capable of monitoring and managing complex processes
The efficiency of the proposed construction can be achieved by selection parameterizing sequences from the set of efficient pseudo-random number generators, for example, multiple linear feedback shift registers
Communication devices utilize the Internet infrastructure and protocols to create a world of connected devices, like Wireless Sensor Networks (WSN) and Internet of Things (IoT)
Summary
The expansion of communication and network technologies, as well as technological advances in the design and implementation of microprocessor devices, have led to the ability to informational connecting different devices and creation of intelligent systems capable of monitoring and managing complex processes. Sensors 2019, 19, 5322 a huge number of that type of devices (sensors, cameras, surveillance systems) need to work in real time fashion so that the defined security mechanisms do not disrupt system behavior. They must be designed in such a way that it is easy to implement them both in hardware and software and their application should not disrupt system behavior i.e., they must be efficient [10,11]. Our work is aimed to define low complexity and efficient generic model of the pseudo-random generator that does not suffer from the weaknesses immanent to the RC4 and which is suitable for the implementation of the security solution in the computational constrained microprocessor environments, e.g., WSN and IoT. The fourth part contains a summary of the paper’s results
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