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- W2964987564 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, eld, Galois eld or nite elds, and the order of a finite field. We found all the polynomials in $$F_2[x]$$ that is, $$P(x) =sum_{i=1}^m a_ix^i : a_i in F_2$$ with $$a_m neq 0$$ for some degree $m$ whichled us to determine the number of irreducible polynomials generally at any degree in $$F_2[x]$$." @default.
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- W2964987564 date "2019-08-03" @default.
- W2964987564 modified "2023-09-27" @default.
- W2964987564 title "Construction and Determination of Irreducible Polynomials in Galois elds, GF(2m)" @default.
- W2964987564 doi "https://doi.org/10.9734/jamcs/2019/v33i330181" @default.
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