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Nonlinear Theory of Periodic Sequences
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A(sn algebraic normal form algorithm associated linear block cipher boolean function characteristic polynomial ciphertext coefficients computed Corollary correlation-immunity corresponding cryptographic decomposed linear equivalent defined denotes digits driving LFSR enciphering filter finite formal power series fraction FSM-combiner func function f GF(qm implies input sequences input variables irreducible minimal polynomial irreducible polynomials key stream keystream knapsack stream cipher Lemma linear affine linear cipher linear combination linear complexity profile linear equivalent lowerbound mapping maximum linear complexity maximum-1ength memory memoryless minimal polynomial minimal polynomial m~(X modulo multiple nonlinear combiner nonlinear function nonlinear order nonzero NP-complete obtain one-time-pad order product original LFSR output sequence partial sum plaintext PN-sequence primitive connection polynomial primitive factor product sequence properties Proposition quences random sequence random variables real sum recursion relatively prime running key significant bits simulated LFSR speed factor stream cipher sum sequence Swiss coin sequence tion upperbound Walsh transform zero