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Bulletin of the Russian Academy of Sciences Physics

Protected optical line coding based on multiple-valued logics

A. L. Antipov, Alexey Yu. Bykovsky, Nikolay A. Vasiliev, A. A. Egorov

Published May 1, 2008• 0 citations
Publisher

Abstract

Multiple-valued logic functions given by the Allen-Givone algebra are proposed for use in optical nonquantum communication channels as tools for generating a set of secret keys of very high dimension.
DOI
10.3103/s1062873808050201

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Multiple-valued logic (MVL) formalism is shown to be an effective mean to work with secret keys and to check data modification in an optical data transfer channel. Such wireless data lines are needed for multiagent robotic systems including a group of mobile robots. In order to generate secret keys by means of open optical line one can choose beforehand an arbitrary MVL function, calculate its minimized logic term and afterwards calculate a huge number of different fragments of MVL function to realize secret MVL keys. The proposed method enlarges and complements the earlier proposed effective method of MVL secret coding tables for systems with high (more than 50) number of logic levels. Some problems of correct MVL function generation are discussed. MVL check functions method is also proposed to indicate data modification in messages. MVL non-quantum coding methods can be integrated with low-throughput quantum optics data channels for additional crypto protection.
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Quantum optics is regarded as the acknowledged method to provide network quantum keys distribution and in the future secure distributed quantum computing, but it should also provide cryptography protection for mobile robots and the Internet of Things (IoT). This task requires the design of new secret coding schemes, which can be also based on multiple-valued logic (MVL). However, this very specific logic model reveals new possibilities for the hierarchical data clustering of arbitrary data sets. The minimization of multiple-valued logic functions is proposed for the analysis of aggregated objects, which is possible for an arbitrary number of variables. In order to use all the useful properties of the multiple-valued logic, the heterogeneous network architecture is proposed, which includes three allocated levels of artificial intelligence (AI) logic modeling for discrete multiple-valued logic, Boolean logic, and fuzzy logic. Multiple-valued logic is regarded as the possible platform for additional secret coding, data aggregation, and communications, which are provided by the united high dimensional space for network addressing and the targeted control of robotic devices. Models of Boolean and fuzzy logic are regarded as separate logic levels in order to simplify the integration of various algorithms and provide control of additional data protection means for robotic agents.