• DocumentCode
    1136414
  • Title

    A construction of resilient functions with high nonlinearity

  • Author

    Johansson, Thomas ; Pasalic, Enes

  • Author_Institution
    Dept. of Inf. Technol., Lund Univ., Sweden
  • Volume
    49
  • Issue
    2
  • fYear
    2003
  • Firstpage
    494
  • Lastpage
    501
  • Abstract
    We provide a construction technique for multiple-output resilient functions F:F2n→F2m with high nonlinearity. The construction leads to the problem of finding a set of linear codes with a fixed minimum distance, having the property that the intersection between any two codes is the all-zero codeword only. This problem is considered, and existence results are provided. Moreover, the constructed functions obtain a nonlinearity superior to previous construction methods.
  • Keywords
    Boolean functions; linear codes; nonlinear functions; Boolean functions; all-zero codeword; codes intersection; keystream generators; linear codes; linear feedback shift registers; minimum distance; multiple-output resilient functions; nonlinearity; resilient functions construction; Boolean functions; Cryptography; Distributed computing; Fault tolerant systems; Information technology; Information theory; Linear code; Linear feedback shift registers; Quantum computing; Random sequences;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.807297
  • Filename
    1176624
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1136414