*19:17*[Pub][ePrint] On cross joining de Bruijn sequences, by Johannes Mykkeltveit and Janusz Szmidt

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.