Lower bounds for the linear complexity of sequences over residue rings

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Abstract

Linear feedback shift registers over the ring Z2e can be implemented efficiently on standard microprocessors. The most significant bits of the elements of a sequence in Z∞2e constitute a binary pseudo-random sequence. We derive lower bounds for the linear complexity over F2 of these binary sequences.

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Dai, Z. D., Beth, T., & Gollmann, D. (1991). Lower bounds for the linear complexity of sequences over residue rings. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 473 LNCS, pp. 189–195). Springer Verlag. https://doi.org/10.1007/3-540-46877-3_16

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