• DocumentCode
    1384586
  • Title

    Explicit formulas for self-complementary normal bases in certain finite fields

  • Author

    Lempel, Abraham ; Seroussi, Gadiel

  • Author_Institution
    Technion-Israel Inst. of Technol., Haifa, Israel
  • Volume
    37
  • Issue
    4
  • fYear
    1991
  • fDate
    7/1/1991 12:00:00 AM
  • Firstpage
    1220
  • Lastpage
    1222
  • Abstract
    Explicit formulas are given for sets of p elements forming a self-complementary normal basis of GF(qp) over GF(q), where p is the characteristic of GF(q ). Using these formulas, a straightforward construction of self-complementary bases for GF(qα) (where α=pm) over GF(q) is also presented
  • Keywords
    information theory; finite fields; information theory; self-complementary normal basis; Galois fields; Laboratories; Milling machines; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.86978
  • Filename
    86978