Cryptology ePrint Archive: Report 2013/760

On cross joining de Bruijn sequences

Johannes Mykkeltveit and 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.

Category / Keywords: secret-key cryptography / De Bruijn sequences, cross-join pairs, nonlinear feedback shift \mbox{registers}, maximum period, quadratic m-sequences.

Date: received 17 Nov 2013

Contact author: j szmidt at wil wat pl

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Version: 20131121:190551 (All versions of this report)

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