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On completely free elements in finite fields

✍ Scribed by Dirk Hachenberger

Publisher
Springer
Year
1994
Tongue
English
Weight
815 KB
Volume
4
Category
Article
ISSN
0925-1022

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πŸ“œ SIMILAR VOLUMES

Explicit Iterative Constructions of Norm
Explicit Iterative Constructions of Normal Bases and Completely Free Elements in Finite Fields
✍ Dirk Hachenberger πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 305 KB

A characterization of normal bases and complete normal bases in GF(q r n ) over GF(q), where q ΟΎ 1 is any prime power, r is any prime number different from the characteristic of GF(q), and n Υ† 1 is any integer, leads to a general construction scheme of series (v n ) nΥ†0 in GF(q r ȍ ) :Ο­ ʜ nΥ†0 GF(q r

Normal Bases and Completely Free Element
Normal Bases and Completely Free Elements in Prime Power Extensions over Finite Fields
✍ Dirk Hachenberger πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 253 KB

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 prim

Completely Normal Elements in Iterated Q
Completely Normal Elements in Iterated Quadratic Extensions of Finite Fields
✍ Robin Chapman πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 226 KB

Cohen and McNay both give iterative constructions of irreducible polynomials of 2-power degree over finite fields of odd order. In this paper I show that the roots of these polynomials are completely normal elements in the appropriate extension field.