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Re: Polynomial Reduction with Mod


PolynomialMod[1 + x^3 + x^4 + x^5 + x^6 + x^8 + x^11 + x^13,
    1 + x + x^3 + x^4 + x^8]
Out = 1 + x + x^2 + x^4 + x^5 - x^6 - x^7

Also:
PolynomialMod[1 + x^3 + x^4 + x^5 + x^6 + x^8 + x^11 + x^13,
    1 + x + x^3 + x^4 + x^8, x]
Out = 1 + x + x^2 + x^4 + x^5 -x^6 - x^7

and

PolynomialQuotient[1 + x^3 + x^4 + x^5 + x^6 + x^8 + x^11 + x^13,
    1 + x + x^3 + x^4 + x^8, x]
Out = -x + x^3 + x^5

I checked the solution, they don't seem to match yours. Maybe I am
misunderstanding your problem.

-Souvik

<Flip at safebunch.com> wrote in message news:9ll7ve$m4c$1 at smc.vnet.net...
> Hello,
>
> Is Mathematica capable of calculating this type of problem?
>
>
> Mod[1 + x^3 + x^4 + x^5 + x^6 + x^8 + x^11 + x^13,
> 1 + x + x^3 + x^4 + x^8]
>
> The second polynomial is irreducible?
>
> By the way, the soultion is: x^7 + x^6 + 1.
>
> Thank you for any inputs ...
>
>




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