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Irreducible trinomials over finite fields

2003; American Mathematical Society; Volume: 72; Issue: 244 Linguagem: Inglês

10.1090/s0025-5718-03-01515-1

1088-6842

Joachim von zur Gathen,

graph theory and CDMA systems

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 $\mathbb {F}_{3}$, and some experimental discoveries are reported.