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fGivenanintegerd0thereisadeterministicalgorithmthatoutputsanirreduciblepolynomialg2Fqysuchthatd clogpdeggdlogq logpwherecisaconstantThealgorithmtakesdlogqO1timeProofThe eldFqdenotesth

(f).Givenanintegerd0 thereisadeterministicalgorithmthatoutputsanirreduciblepolynomialg2Fq[y]suchthat d clogpdeg(g)dlogq logpwherecisaconstant.Thealgorithmtakes(dlogq)O(1)time.Proof:The eldFqdenotesth

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