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What does $\mathbb{F}_3[x]$ mean in terms of polynomials?

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It means polynomials where the coefficients are from the field with three elements $\mathbb{F}_3$.

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    So that would mean that $0, 1, 2$ equal $3, 4, 5$, respectively?2011-12-02
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    @johnnymath sure, in $\mathbb{F}_3$, $0$ and $3$ are just different representations for the same element2011-12-02