On Wednesday, May 25, 2016 at 3:31:23 AM UTC+3, Phillip M. Feldman wrote:
>
> I tried the following:
>
> In [1]: from sympy import *
> In [2]: R, x= ring('x', GF(2))
> In [3]: p= x**5 + 1
> In [4]: q= x+1
> In [5]: div(p, q)
>
> The result is an exception: SympifyError: x**5 + 1 mod 2
>
> Any advice will be appreciated.
>

div(p, q)  is intended for expressions. p and q  are polynomials, not 
expressions. Division of polynomials is defined as a method:
In [4]: p.div(q)
Out[4]: (x**4 + x**3 + x**2 + x + 1 mod 2, 0 mod 2)


> On Mon, May 23, 2016 at 10:05 PM, Kalevi Suominen <[email protected] 
> <javascript:>> wrote:
>
>>
>>
>> On Tuesday, May 24, 2016 at 3:37:42 AM UTC+3, Phillip M. Feldman wrote:
>>>
>>> I would like to perform operations on polynomials over GF(2), i.e., 
>>> polynomials with binary coefficients.  Is there a way to do this with SymPy?
>>>
>>> There is a sympy.polys.galoistools module, but I haven't found any user 
>>> documentation for it
>>>
>>
>> galoistools is the low lever implementation module that is not intended 
>> for direct use. The user interface is the
>> same as with other polynomials. To define a polynomial ring  R  with 
>> generator (or 'unknown')  x  over  GF(2)  you write
>>
>> R, x = ring('x', GF(2))
>>
>> Polynomials are then constructed in the usual way: p = x**2 + x , etc. 
>> and all the standard operations are valid. (Note:  x  is also a polynomial, 
>> not a Symbol.)
>>
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