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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/12893

Title: Construction of irreducible polynomials in galois fields, GF(2m) using normal bases
Authors: Aidoo, Abraham
Gyamf, Kwasi Baah
Keywords: Irreducible polynomials
primitive polynomials
finite fields
order of a finite field
normal bases
Issue Date: 24-Jul-2019
Publisher: Asian Research Journal of Mathematics
Abstract: This thesis is about Construction of Polynomials in Galois fields Using Normal Bases in finite fields.In this piece of work, we discussed the following in the text; irreducible polynomials, primitive polynomials, field, Galois field or finite fields, and the order of a finite field. We found the actual construction of polynomials in GF(2m) with degree less than or equal to m − 1 and also illustrated how this construction can be done using normal bases. Finally, we found the general rule for construction of GF(p m) using normal bases and even the rule for producing reducible polynomials.
Description: An article published by Asian Research Journal of Mathematics and also available at DOI: 10.9734/ARJOM/2019/v14i330131
URI: http://hdl.handle.net/123456789/12893
Appears in Collections:College of Science

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