The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields

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Abstract

We determine the cycle structure of linear feedback shift register with arbitrary monic characteristic polynomial over any finite field. For each cycle, a method to find a state and a new way to represent the state are proposed.

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Chang, Z., Ezerman, M. F., Ling, S., & Wang, H. (2018). The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields. Cryptography and Communications, 10(6), 1183–1202. https://doi.org/10.1007/s12095-017-0273-2

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