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A construction of resilient functions with high nonlinearity

Publiceringsår: 2003
Språk: Engelska
Sidor: 494-501
Publikation/Tidskrift/Serie: Transactions on Information Theory
Volym: 49
Nummer: 2
Dokumenttyp: Artikel
Förlag: IEEE-INST Electrical Electronics Engineers Inc


We provide a construction technique for multiple-output resilient functions F: F-2(n) --> F-2(m) 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.



  • Electrical Engineering, Electronic Engineering, Information Engineering
  • nonlinearity
  • Boolean functions
  • correlation immunity
  • stream ciphers
  • resiliency


  • ISSN: 0018-9448

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