• DocumentCode
    130131
  • Title

    Differentially 6-uniform permutations by modifying the Gold function

  • Author

    Zhengbang Zha ; Lei Hu ; Jinyong Shan

  • Author_Institution
    State Key Lab. of Inf. Security, Inst. of Inf. Eng., Beijing, China
  • fYear
    2014
  • fDate
    28-30 July 2014
  • Firstpage
    961
  • Lastpage
    965
  • Abstract
    Substitution boxes are used in many iterate block ciphers for the confusion part of round functions. In this paper, we present some constructions of differentially 6-uniform permutations over F22m by modifying the image values of the Gold function. The resulted differentially 6-uniform permutations have high nonlinearities and algebraic degrees simultaneously, which provide more choices for the Substitution boxes.
  • Keywords
    algebra; cryptography; 6-uniform permutations; Gold function; block ciphers; substitution boxes; Ciphers; Galois fields; Gold; Polynomials; Presses; Algebraic degree; Differential uniformity; Nonlinearity; Permutation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information and Automation (ICIA), 2014 IEEE International Conference on
  • Conference_Location
    Hailar
  • Type

    conf

  • DOI
    10.1109/ICInfA.2014.6932790
  • Filename
    6932790
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=130131