• DocumentCode
    3088833
  • Title

    A low-power bit-serial multiplier for finite fields GF(2m)

  • Author

    Grossschadl, J.

  • Author_Institution
    Inst. for Appl. Inf. Processing & Commun., Graz Univ. of Technol.
  • Volume
    4
  • fYear
    2001
  • fDate
    6-9 May 2001
  • Firstpage
    37
  • Abstract
    This paper presents a bit-serial architecture for efficient addition and multiplication in binary finite fields GF(2m) using a polynomial basis representation. Moreover, a low-voltage/low-power implementation of the arithmetic circuits and the registers is proposed. The introduced multiplier operates over a variety of binary fields up to an order of 2m. We detail that the bit-serial multiplier architecture can be implemented with only 28m gate equivalents, and that it is scalable, highly regular and simple to design
  • Keywords
    Galois fields; digital arithmetic; low-power electronics; multiplying circuits; GF(2m); addition; arithmetic circuit; binary finite field; bit-serial multiplier; low-voltage low-power architecture; multiplication; polynomial basis; register cell; Additives; Arithmetic; Codes; Elliptic curve cryptography; Elliptic curves; Galois fields; Hardware; Polynomials; Smart cards; Very large scale integration;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
  • Conference_Location
    Sydney, NSW
  • Print_ISBN
    0-7803-6685-9
  • Type

    conf

  • DOI
    10.1109/ISCAS.2001.922163
  • Filename
    922163