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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/12894

Title: Construction and determination of irreducible polynomials in galois fields, GF(2m)
Authors: Aidoo, Abraham
Gyamf, Kwasi Baah
Yang, Fengfan
Keywords: Irreducible polynomials
field
finite fields
Issue Date: 3-Aug-2019
Publisher: Journal of Advances in Mathematics and Computer Science
Abstract: This work is about Construction of Irreducible Polynomials in Finite fields. We defined some terms in the Galois field that led us to the construction of the polynomials in the GF(2m). We discussed the following in the text; irreducible polynomials, monic polynomial, primitive polynomials, field, Galois field or finite fields, and the order of a finite field. We found all the polynomials in F2[x] that is, P(x) = ∑m i=1 aix i : ai ∈ F2 with am ̸= 0 for some degree m which led us to determine the number of irreducible polynomials generally at any degree in F2[x].
Description: An article published by Journal of Advances in Mathematics and Computer Science and also available at DOI: 10.9734/JAMCS/2019/v33i330181
URI: http://hdl.handle.net/123456789/12894
Appears in Collections:College of Science

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