State Diagrams of a Class of Singular LFSR and Their Applications to the Construction of de Bruijn Cycles

May 01, 2018 · The Ethereal · 🏛 arXiv.org

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Authors XiaoFang Wang, YuJuan Sun, WeiGuo Zhang arXiv ID 1805.00147 Category math.CO: Combinatorics Cross-listed cs.CR, cs.DM Citations 1 Venue arXiv.org Last Checked 3 months ago
Abstract
The state diagrams of a class of singular linear feedback shift registers (LFSR) are discussed. It is shown that the state diagrams of the given LFSR have special structures. An algorithm is presented to construct a new class of de Bruijn cycles from the state diagrams of these singular LFSR.
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