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There exists an algorithm which allows designing compound generators with predictable period length, predictable linear complexity level, with excellent statistical properties of produced bit streams.
Such a condition is sufficient for maximum period of each Inversive Congruential Generator and finally for maximum period of the compound generator.
The procedure of designing this complex structure starts with defining finite field of p elements and ends with choosing the parameters a and c for each Inversive Congruential Generator being the component of the compound generator.