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Title:
On cross joining de Bruijn sequences
Authors: Johannes Mykkeltveit, Janusz Szmidt
Abstract:We explain the origins of Boolean feedback functions of nonlinear feedback shift registers (NLFSRs) of fixed order n generating de Bruijn binary sequences. They all come into existence by cross joining operations starting from one maximum period feedback shift register, e.g., a linear one which always exists for any order n. The result obtained yields some constructions of NLFSRs generating maximum period 2^n-1 binary sequences.
ePrint: https://eprint.iacr.org/2013/760
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