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Method to list all possible minimal polynomials for GF(2^n)

Method to list all possible minimal polynomials for GF(2^n)

gepo · Wed Mar 23, 2011 7:05 am

Hi,
I have searched the online manual of Singular while I failed to find a way to list all minimal polynomials for a Galois fieldGF(2^n).
Would you please point me a way to do that?

Thanks
Gepo

Re: Method to list all possible minimal polynomials for GF(2^n)

gorzel · Wed Mar 23, 2011 5:36 pm

Take a look at the subdirectory gftables in the library folder
Singular/3-1-2/LIB/.

To see the Conway polynomials, you have to take a look at the
source code. Inspect the file
Singular-3-1-2/factoryConwayList.txt