Generalized Algorithms for Stream Encryption of Signals in Communication Channels with the UAV

Anatoly Beletsky · 2020 IEEE Ukrainian Microwave Week (UkrMW) · 2020

Synthesis of algorithms of stream data encryption based, as a rule, on principles of construction of LFSR generators of pseudo-random numbers on Galois and Fibonacci schemes. Each pseudo-random number generator assigned to a matrix, let's call it the Galois (Fibonacci) matrix, using which a sequence of binary numbers, which coincides with the series produced by a register number generator. In classical pseudo-random numbers generators, single-circuit register feedback formed exclusively primitive polynomials. In generalized generators, feedback is, firstly, multi-circuit and, secondly, can be created by polynomials, not necessarily primitive (enough that they were irreducible polynomial). But at the same time, the following condition must be met: the forming element of the matrix, which meets the generator of the pseudo-random numbers, must be a primitive element of the Galois field, generated by the irreducible polynomial chosen to build the generator of pseudo-random numbers. The main advantage of the generalized generators is that: the generalized generators of pseudo-random numbers, unlike the classical ones, are free from attack by Berlekamp-Messi. The proposed algorithms are applicable in many areas, including cryptographic protection of command and video information in the UAV.

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