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
fDate :
7/1/1991 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
