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Cycle Structures of a Class of Cascaded FSRs.

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Title: Cycle Structures of a Class of Cascaded FSRs.
Authors: Chang, Zuling1 chang@zzu.edu.cn, Gong, Guang2 ggong@uwaterloo.ca, Wang, Qiang3 wang@math.carleton.ca
Source: IEEE Transactions on Information Theory. Jun2020, Vol. 66 Issue 6, p3766-3774. 9p.
Subjects: Shift registers, Linear equations, Linear systems, Finite fields, Boolean functions
Abstract: 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 de Bruijn sequence. The cycle structure (in particular, the initial state of each cycle) is determined by solving a system of linear equations. As an application, we can generate de Bruijn sequences of large period algorithmically. [ABSTRACT FROM AUTHOR]
Copyright of IEEE Transactions on Information Theory is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 143457068
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Cycle Structures of a Class of Cascaded FSRs.
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  Data: <searchLink fieldCode="AR" term="%22Chang%2C+Zuling%22">Chang, Zuling</searchLink><relatesTo>1</relatesTo><i> chang@zzu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Gong%2C+Guang%22">Gong, Guang</searchLink><relatesTo>2</relatesTo><i> ggong@uwaterloo.ca</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Qiang%22">Wang, Qiang</searchLink><relatesTo>3</relatesTo><i> wang@math.carleton.ca</i>
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  Data: <searchLink fieldCode="JN" term="%22IEEE+Transactions+on+Information+Theory%22">IEEE Transactions on Information Theory</searchLink>. Jun2020, Vol. 66 Issue 6, p3766-3774. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Shift+registers%22">Shift registers</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+equations%22">Linear equations</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+fields%22">Finite fields</searchLink><br /><searchLink fieldCode="DE" term="%22Boolean+functions%22">Boolean functions</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: 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 de Bruijn sequence. The cycle structure (in particular, the initial state of each cycle) is determined by solving a system of linear equations. As an application, we can generate de Bruijn sequences of large period algorithmically. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IEEE Transactions on Information Theory is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1109/TIT.2019.2956741
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 3766
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      – SubjectFull: Shift registers
        Type: general
      – SubjectFull: Linear equations
        Type: general
      – SubjectFull: Linear systems
        Type: general
      – SubjectFull: Finite fields
        Type: general
      – SubjectFull: Boolean functions
        Type: general
    Titles:
      – TitleFull: Cycle Structures of a Class of Cascaded FSRs.
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            NameFull: Chang, Zuling
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            NameFull: Gong, Guang
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            NameFull: Wang, Qiang
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              Text: Jun2020
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              Y: 2020
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            – TitleFull: IEEE Transactions on Information Theory
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