The transformation between the Galois NLFSRs and the Fibonacci NLFSRs via semi-tensor product of matrices Academic Article

abstract

• 2018 Elsevier Ltd In this paper, a novel way is proposed to investigate the transformation between Galois nonlinear feedback shift registers (NLFSRs) and Fibonacci NLFSRs. First, the Galois NLFSRs and Fibonacci NLFSRs are regarded as two Boolean networks (BNs), and the corresponding algebraic equations are obtained based on semi-tensor product (STP) of matrices. Then, the definition of absolute equivalence is given to investigate the transformation between these two kinds of NLFSRs. Furthermore, some interesting results are presented to achieve the transformation. Finally, an example is provided to illustrate the effectiveness of obtained results.

authors

• Huang, Tingwen

published proceedings

• AUTOMATICA

author list (cited authors)

• Lu, J., Li, M., Huang, T., Liu, Y., & Cao, J.

citation count

• 57

complete list of authors

• Lu, Jianquan||Li, Meilin||Huang, Tingwen||Liu, Yang||Cao, Jinde

publication date

• October 2018

publisher

• Elsevier  Publisher

published in

• Automatica  Journal

keywords

• Absolute Equivalence
• Fibonacci Nlfsrs
• Galois Nlfsrs
• Semi-tensor Product

Digital Object Identifier (DOI)

• 10.1016/j.automatica.2018.07.011

start page

• 393

end page

• 397

volume

• 96

URL

• http://dx.doi.org/10.1016/j.automatica.2018.07.011