• DocumentCode
    1059536
  • Title

    A Fast VLSI Multiplier for GF(2m)

  • Author

    Scott, P. Andrew ; Tavares, Stafford E. ; Peppard, Lloyd E.

  • Author_Institution
    Queen´´s Univ., Kingston, Ont., Canada
  • Volume
    4
  • Issue
    1
  • fYear
    1986
  • fDate
    1/1/1986 12:00:00 AM
  • Firstpage
    62
  • Lastpage
    66
  • Abstract
    Multiplication in the finite field GF(2^{m} ) has particular computational advantages in data encryption systems. This paper presents a new algorithm for performing fast multiplication in GF(2^{m} ), which is O(m) in computation time and implementation area. The bit-slice architecture of a serial-in-serial-out modulo multiplier is described and the circuit details given. The design is highly regular, modular, and well-suited for VLSI implementation. The resulting multiplier will have application in algorithms based on arithmetic in large finite fields of characteristic 2, and which require high throughput.
  • Keywords
    Galois fields; Multiplication; VLSI; Very large-scale integration (VLSI); Application software; Arithmetic; Circuits; Computer architecture; Cryptography; Galois fields; Polynomials; Silicon; Throughput; Very large scale integration;
  • fLanguage
    English
  • Journal_Title
    Selected Areas in Communications, IEEE Journal on
  • Publisher
    ieee
  • ISSN
    0733-8716
  • Type

    jour

  • DOI
    10.1109/JSAC.1986.1146305
  • Filename
    1146305