@article {Hachenberger:January 1996:1071-5797:21,
	author = "Hachenberger D.",
	title = "Normal Bases and Completely Free Elements in Prime Power Extensions over Finite Fields",
	journal = "Finite Fields and Their Applications",
	volume = "2",
	year = "January 1996",
	abstract = "<P> We continue the work of the previous paper (Hachenberger, Finite Fields Appl. , in press), and, generalizing some of the results obtained there, we give explicit constructions of free and completely free elements in GF( q r n ) over GF( q ), where n is any nonnegative integer and where r is any odd prime number which does not divide the characteristic of GF( q ) or where r = 2 and q = 1 mod 4. Together with results on the case where r = 2 and q = 3 mod 4 obtained in the previous paper and results on the well-known case where r is equal to the characteristic of GF( q ), we are able to explicitly determine free and completely free elements in GF( q m ) over GF( q ) for every nonnegative integer m and every prime power q .</P>",
	pages = "21-34(13)",
	url = "http://www.ingentaconnect.com/content/ap/ff/1996/00000002/00000001/art00002"
}