University of Ottawa

Ottawa–Carleton
Discrete Mathematics Group

Carleton University

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27 March 2009, 11.30am
KED B015, U. Ottawa

The number of irreducible polynomials of degree n over Fq with given trace and constant terms
Behzad Omidi Koma

We improve the existing bounds for the number of irreducible polynomials of degree n over Fq with given trace and any arbitrary constant term. When n is a multiple of q–1, we give a simple and precise formula for the number of irreducible polynomials of degree n over Fq with given primitive constant term.


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