IJPAM: Volume 70, No. 4 (2011)
EXPLICIT CONSTRUCTION OF
FINITE FIELDS USING NORMAL BASES
FINITE FIELDS USING NORMAL BASES
Anthony Y. Aidoo
, Kwasi Baah-Gyamfi
, Joseph Ackora-Prah
Department of Mathematics and Computer Science
Eastern Connecticut State University
Willimantic, CT 06226, USA
Department of Mathematics
Kwame Nkrumah University of Science and Technology
Kumasi, GHANA




Eastern Connecticut State University
Willimantic, CT 06226, USA

Kwame Nkrumah University of Science and Technology
Kumasi, GHANA
Abstract. We present explicit methods of constructing finite fields using normal bases and develop a general rule for constructing Galois finite fields of the form . We also show that optimal normal basis exist for
.
Received: February 15, 2011
AMS Subject Classification: 11T06, 12E20, 12E30, 12F10, 12Y05
Key Words and Phrases: finite fields, normal bases, irreducible polynomials
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 4