Paper 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.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
De Bruijn sequencescross-join pairsnonlinear feedback shift \mbox{registers}maximum periodquadratic m-sequences.
Contact author(s)
j szmidt @ wil wat pl
History
2013-11-21: received
Short URL
https://ia.cr/2013/760
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2013/760,
      author = {Johannes Mykkeltveit and Janusz Szmidt},
      title = {On cross joining de Bruijn sequences},
      howpublished = {Cryptology ePrint Archive, Paper 2013/760},
      year = {2013},
      note = {\url{https://eprint.iacr.org/2013/760}},
      url = {https://eprint.iacr.org/2013/760}
}
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