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The internal state sequence period of pseudorandom number generator RC4


A.V. Babash, D.S. Kudiyarov

RC4 is a consecutive combination of complete-cycle Moore machine and Mealy machine. Mealy machine’s state is a permutation from symmetric group Sn and integer from residue ring Zn. The proof that permutation sequence period is multiple of 2n-1 is given. A sufficient conditions for permutation sequence period to be a multiple of 2n are provided.

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