Constructions of irreducible polynomials over finite fields with even characteristic

P. L. Sharma (), Ashima, Shalini Gupta, Mansi Harish and Sushil Kumar
Additional contact information
P. L. Sharma: HP University
Ashima: HP University
Shalini Gupta: HP University
Mansi Harish: HP University
Sushil Kumar: HP University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 734-742

Abstract: Abstract For a finite field $$\mathbb {F}_q$$ F q , where $$q=2^s, s \in \mathbb {N}$$ q = 2 s , s ∈ N , we present some results regarding the constructions of irreducible polynomials of degree 4n over $$\mathbb {F}_q$$ F q by using the method of composition of polynomials from a given irreducible polynomial p(x) having degree $$n \ge 1$$ n ≥ 1 over $$\mathbb {F}_q$$ F q .

Keywords: Finite field; Irreducible polynomial; Reciprocal polynomial; Trace function; Composition of polynomials; 12E05; 12E10; 12E20 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00291-0

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