IACR News item: 10 November 2015
Junwu Dong, Dingyi Pei
ePrint Reportde Bruijn sequences has received considerable attention. There is only one full cycle in the state graph of de Bruijn sequences. Most
popular algorithms for generating de Bruijn sequences start from a nonsingular linear feedback shift register producing several shorter
cycles in its state graph, then join them into one cycle. Unfortunately, the order $n$ of the resulting de Bruijn sequence by using
this kind of algorithms is small so far (usually $n \\le 40$). We introduce a new concept of correlated cycles between the cycles
in the state graph of a LFSR. Based on this concept we present a algorithm for constructing de Bruijn sequences with large orders (such
as $n=128$). This is the first publication for designing de Bruijn sequences with such large orders.
Additional news items may be found on the IACR news page.