• DocumentCode
    1138186
  • Title

    On the Fundamental Structure of Galois Switching Functions

  • Author

    Benjauthrit, B. ; Reed, I.S.

  • Author_Institution
    Jet Propulsion Laboratory
  • Issue
    8
  • fYear
    1978
  • Firstpage
    757
  • Lastpage
    762
  • Abstract
    It is shown in this paper that the fundamental structure of Galois switching functions follows naturally from that of Boolean switching functions. An expanded formula for deriving multinomial Galois switching functions is provided with illustrations of its application.
  • Keywords
    Boolean switching functions; Galois differences; Galois switching functions; finite field functions; generalized Reed-Muller expansion; multinomial expansion; multiple-valued logic; multivalued logic; polynomial expansion; Algebra; Galois fields; Laboratories; Logic functions; Multivalued logic; NASA; Polynomials; Propulsion; Boolean switching functions; Galois differences; Galois switching functions; finite field functions; generalized Reed-Muller expansion; multinomial expansion; multiple-valued logic; multivalued logic; polynomial expansion;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1978.1675185
  • Filename
    1675185
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1138186