Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

We present a simple framework for constructing de Bruijn sequences, and more generally,
universal cycles, via successor rules. The framework is based on the often used method of …

In this paper, a family of new de Bruijn sequences is proposed through the construction of
maximum-length nonlinear feedback shift registers (NFSRs). Let be a positive integer and …

We present a simple framework for constructing-ary de Bruijn sequences, and more
generally, universal cycles, via successor rules. The framework is based on the often used …

A hardware-friendly and visually meaningful image encryption strategy is introduced in
which a binary measurement matrix and de Bruijn sequence are applied. First, the plain …

Sequences generated by maximum-period nonlinear feedback shift registers are known as
de Bruijn sequences. The problem of generating de Bruijn sequences has received …

A binary de Bruijn sequence of order is a sequence of zeros and ones of period that
contains every binary-tuple exactly once in a period of the sequence. A composited …

The De-Bruijn sequences could provide appropriate circular arrangements to achieve a
single-track absolute rotary optical encoder in the servo motor application. One example …

We propose a construction of de Bruijn sequences by the cycle joining method from linear
feedback shift registers (LFSRs) with arbitrary characteristic polynomial f (x). We study in …

A binary de Bruijn sequence is a sequence of period 2n in which every binary n-tuple occurs
exactly once in each period. A de Bruijn sequence has good randomness properties, such …