The Cycle Structure of LFSR with Arbitrary Characteristic Polynomial over Finite Fields

December 23, 2016 Β· Declared Dead Β· πŸ› Cryptography and Communications

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Authors Zuling Chang, Martianus Frederic Ezerman, San Ling, Huaxiong Wang arXiv ID 1612.07928 Category cs.IT: Information Theory Citations 8 Venue Cryptography and Communications Last Checked 4 months ago
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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