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 …

Satellite‐based, long‐distance free‐space quantum key distribution has the potential to
realise global quantum secure communication networks. Detecting faint quantum optical …

We propose a general greedy algorithm for binary de Bruijn sequences, called Generalized
Prefer-Opposite Algorithm, and its modifications. By identifying specific feedback functions …

In this paper, we study a class of binary nonlinear feedback shift register sequences
generated by cascaded feedback registers, one is an LFSR and the other one generates a …

Nonlinear feedback shift registers (NFSRs) are used in many recent stream ciphers as their
main building blocks. One security criterion for the design of a stream cipher is to assure its …

De Bruijn sequences are maximum-length sequences generated by feedback shift registers.
The study of their feedback functions is very important and has attracted a lot of attention …

In this paper, we study the construction of de Bruijn sequences. A method is given to stretch
a de Bruijn sequence of order n to a de Bruijn sequence of order n+ k with the help of a k …

We study the cross-join pairs in the cycles of linear feedback shift registers whose
characteristic polynomials are of the form, where are primitive polynomials of coprime …

A binary modified de Bruijn sequence is an infinite and periodic binary sequence derived by
removing a zero from the longest run of zeros in a binary de Bruijn sequence. The minimal …

Let q be a prime power and F q the finite field with q elements. In this paper, it is shown that
the minimal polynomial of a modified de Bruijn sequence of order n over F q cannot be the …