Paper 2020/1416 Original: eprint.iacr.org/2020/1416 ↗

Further on the Construction of Feedback Shift Registers with Maximum Strong Linear Complexity

Congwei Zhou
Bin Hu
Jie Guan
Abstract

In this paper, we present the more accurate definition of strong linear complexity of feedback shift registers based on Boolean algebraic than before, and analyze the bound of strong linear complexity by the fixed feedback function. Furthermore, the feedback shift registers with maximum strong linear complexity are constructed, whose feedback functions require the least number of monomials. We also show that the conclusions provide particular ideas and criteria for the design of feedback shift registers.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2020-11-15: last updated
2020-11-15: published
Short URL
https://ia.cr/2020/1416
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2020/1416,
      author = {Congwei Zhou and Bin Hu and Jie Guan},
      title = {Further on the Construction of Feedback Shift Registers with Maximum Strong Linear Complexity},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/1416},
      year = {2020},
      url = {https://eprint.iacr.org/2020/1416}
}
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