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

Published 1 May 2018 in math.CO, cs.CR, and cs.DM | (1805.00147v1)

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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