Abstract
In this paper we study the relation between linguistic variables and the degree of characteristic primitive polynomial of used LFSR in previously suggested fuzzy pseudorandom number generator FRNG, keeping the out pseudorandom series secure. This means that we should take into account two important properties: the randomness of the output and the security against correlation attacks. The first property mainly depends on selection of primitive polynomials used in constructing FRNG. The second property can be realized by making the output series balanced in sense that the probability of appearing the bits of each used LFSR approximately equal to others in the output stream.
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