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Przedstawiono nowe wyniki badań komputerowych trójmianów nieprzywiedlnych nad ciałem trzyelementowym GF(3). Dzięki ulepszeniom algorytmicznym oraz usprawnieniom w zakresie organizacji obliczeń na komputerach pracujących w sieci lokalnej, wyznaczono wszystkie trójmiany nieprzywiedlne do stopnia 2500. Omówiono zauważone własności w występowaniu trójmianów nieprzywiedlnych nad ciałem skończonym trzyelementowym...
We extend the limit of investigations for trinomials irreducible over GF(2), having the form Xⁿ + g(X), where deg (g(X)) = 1 or deg (g(X)) = 2 and complete the existing list of irreducible trinomials with that form by a dozen of new elements. We checked all degrees n below 500000 while searching for that polynomials. A large part of computations were performed by a new programming package developed...
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