• DocumentCode
    929435
  • Title

    Minimisation of Reed-Muller polynomials with fixed polarity

  • Author

    Zhang, Y.Z. ; Rayner, P.J.W.

  • Author_Institution
    University of Cambridge, Engineering Department, Cambridge, UK
  • Volume
    131
  • Issue
    5
  • fYear
    1984
  • fDate
    9/1/1984 12:00:00 AM
  • Firstpage
    177
  • Lastpage
    186
  • Abstract
    An efficient algorithm for minimisation of Reed-Muller polynomials with fixed polarities is presented. The common terms of multiple-output polynomials are considered by applying a number of logical operations on their coefficients. The minimisation of the polynomials over extension Galois fields GF(2M) is considered. The average number of field multiplications for mapping a set of coefficients is reduced to less than M¿¿¿¿2M¿¿2.
  • Keywords
    minimisation; polynomials; Galois fields; Reed-Muller polynomials; cellular logic arrays; field multiplications; mapping; minimisation;
  • fLanguage
    English
  • Journal_Title
    Computers and Digital Techniques, IEE Proceedings E
  • Publisher
    iet
  • ISSN
    0143-7062
  • Type

    jour

  • DOI
    10.1049/ip-e.1984.0035
  • Filename
    4646177
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=929435