Some necessary conditions for feedback functions of de Bruijn sequences

Autor: Hu Daohuan, Chen Shiqi, Xu Xiaofang, Xiong Yazhou
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Applied Mathematics and Nonlinear Sciences, Vol 8, Iss 2, Pp 215-224 (2023)
Druh dokumentu: article
ISSN: 2444-8656
DOI: 10.2478/amns.2021.2.00305
Popis: De Bruijn sequence is an important kind of nonlinear shift register sequence, which has a very wide range of applications in the fields of communication and cryptography. From the perspective of the relationship between linear terms, quadratic terms and cubic terms in the feedback functions of de Bruijn sequences, some new necessary conditions for feedback functions of de Bruijn sequences are obtained. Some examples show that the known necessary conditions cannot deduce the proposed necessary conditions.
Databáze: Directory of Open Access Journals