• DocumentCode
    1340176
  • Title

    When Is a Function Securely Computable?

  • Author

    Tyagi, Himanshu ; Narayan, Prakash ; Gupta, Piyush

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Maryland, College Park, MD, USA
  • Volume
    57
  • Issue
    10
  • fYear
    2011
  • Firstpage
    6337
  • Lastpage
    6350
  • Abstract
    A subset of a set of terminals that observe correlated signals seek to compute a function of the signals using public communication. It is required that the value of the function be concealed from an eavesdropper with access to the communication. We show that the function is securely computable if and only if its entropy is less than the capacity of a new secrecy generation model, for which a single-letter characterization is provided.
  • Keywords
    correlation methods; signal processing; telecommunication security; correlated signal; public communication; secrecy generation model; single-letter characterization; Amplitude shift keying; Computational modeling; Context modeling; Entropy; Information theory; Materials; Protocols; Aided secret key; balanced coloring lemma; function computation; maximum common function; omniscience; secret key capacity; secure computability;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2165807
  • Filename
    6034733