Joachim von zur Gathen
Abstract
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A necessary condition for irreducibility of a trinomial over a finite field, based on classical results of Stickelberger and Swan, is established. It is applied in the special case F 3 \mathbb {F}_{3} , and some experimental discoveries are reported.
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A necessary condition for irreducibility of a trinomial over a finite field, based on classical results of Stickelberger and Swan, is established. It is applied in the special case F 3 \mathbb {F}_{3} , and some experimental discoveries are reported.
Key concepts: Trinomial, Irreducibility, Finite field, Mathematics, Field (mathematics), Pure mathematics, Algebra over a field, Discrete mathematics