Explicit formulas for self-complementary normal bases in certain finite fields
Abraham Lempel, G. Seroussi · IEEE Transactions on Information Theory · 1991
Explicit formulas are given for sets of p elements forming a self-complementary normal basis of GF(q/sup p/) over GF(q), where p is the characteristic of GF(q). Using these formulas, a straightforward construction of self-complementary bases for GF(q/sup alpha /) (where alpha =p/sup m/) over GF(q) is also presented.>