• DocumentCode
    1306208
  • Title

    A relationship between linear complexity and k-error linear complexity

  • Author

    Kurosawa, Kaoru ; Sato, Fumio ; Sakata, Takahiro ; Kishimoto, Wataru

  • Author_Institution
    Fac. of Eng., Tokyo Inst. of Technol., Japan
  • Volume
    46
  • Issue
    2
  • fYear
    2000
  • fDate
    3/1/2000 12:00:00 AM
  • Firstpage
    694
  • Lastpage
    698
  • Abstract
    Linear complexity is an important cryptographic criterion of stream ciphers. The k-error linear complexity of a periodic sequence of period N is defined as the smallest linear complexity that can be obtained by changing k or fewer bits of the sequence per period. This article shows a relationship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity
  • Keywords
    binary sequences; computational complexity; cryptography; binary sequence; cryptographic criterion; k-error linear complexity; keystream sequence; linear complexity; linear feedback shift register length; minerror; periodic sequence; stream ciphers; Binary sequences; Cryptography; Error correction codes; Hamming weight; Linear feedback shift registers; Polynomials; Sufficient conditions; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.825845
  • Filename
    825845