• DocumentCode
    3426028
  • Title

    A (4:2) adder for unified GF (p) and GF (2n) Galois field multipliers

  • Author

    Au, Lai Sze ; Burgess, Neil

  • Author_Institution
    Sch. of Eng., Cardiff Univ., UK
  • Volume
    2
  • fYear
    2002
  • fDate
    3-6 Nov. 2002
  • Firstpage
    1619
  • Abstract
    This paper describes a new redundant binary adder that supports carry-save additions under either of the Galois fields, GF(p) or GF(2/sup n/), without the need for an external control signal to specify which field is to be used. The proposed adder will find use in unified Galois field multipliers for cryptographic applications. Its main advantage over previously reported adders is that a control signal which is broadcast to all cells to suppress carries under GF(2/sup n/) is not needed, leading to a substantial gain in implementation efficiency.
  • Keywords
    Galois fields; adders; cryptography; digital arithmetic; carry-save additions; cryptographic applications; implementation efficiency; redundant binary adder; unified Galois field multipliers; Adders; Arithmetic; Broadcasting; Circuits; Control systems; Elliptic curves; Galois fields; Gold; Latches; Registers;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Signals, Systems and Computers, 2002. Conference Record of the Thirty-Sixth Asilomar Conference on
  • Conference_Location
    Pacific Grove, CA, USA
  • ISSN
    1058-6393
  • Print_ISBN
    0-7803-7576-9
  • Type

    conf

  • DOI
    10.1109/ACSSC.2002.1197051
  • Filename
    1197051