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MathGroup Archive 2001

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Re: Polynomial Reduction with Mod

  • To: mathgroup at smc.vnet.net
  • Subject: [mg30441] Re: Polynomial Reduction with Mod
  • From: "Souvik Banerjee" <s-banerjee at nwu.edu>
  • Date: Sun, 19 Aug 2001 02:01:35 -0400 (EDT)
  • Organization: Northwestern University, Evanston, IL, US
  • References: <9ll7ve$m4c$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

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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