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May 23, 2011 at 18:49 comment added Turbo But wouldn't that still have the same problem of enlarging the word sizes even if one uses reducing modulo $p$, that is modulo $p$ in the worst case might have $O(n^{1+\epsilon})$ atomic operations (atomic in the sense - of atmoic integer multiplication, division, add or subtract operations).
May 23, 2011 at 18:46 comment added Turbo Hi: How many would you need? Say the coefficients are bounded by $2^{O(log_{2}({nM}))}$ where $n$ is as before and $M$ is some constant integer.
May 23, 2011 at 18:36 history answered Robert Israel CC BY-SA 3.0