[GAP Forum] How to work in the two-element field F_2 in GAP.

Andrea Caranti caranti at science.unitn.it
Mon Dec 31 12:35:55 GMT 2012


One way to deal with this is to write your matrices with 0's and 1's, and
then do a *cast* as in the example below

gap> [[1,0],[0,1]] * One(GF(2));
[ [ Z(2)^0, 0*Z(2) ], [ 0*Z(2), Z(2)^0 ] ]

Best,

Andrea


On 31 December 2012 12:51, Jianrong Li <lijr07 at gmail.com> wrote:

> Dear Forum,
>
> I want to work over the field F_2 with only two elements 0, 1. 1+1=0.
>
> I have matrices with entries 0, 1. The multiplication of the matrices are
> over F_2.
>
> I would like to define the default field as F_2. How could I do that in
> GAP?
>
> I tried DefaultField(Z(2)). But it seems that this doesn't work.
>
> Thank you very much.
>
> Best wishes,
> Jianrong.
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