On 2018-07-10, slelievre <samuel.lelie...@gmail.com> wrote:
> you have the choice between the following:
>
>     sage: V = PolynomialRing(GF(2), 49, xxz)
>     ...
>     sage: V = BooleanPolynomialRing(49, xxz)

I think that's a very dangerous statement, as the boolean polynomial
ring is a *quotient* of the above polynomial ring: In addition to using
coefficients in GF(2), it hard-codes the relation x^2=x for all
variables x:
  sage: R.<u,v> = BooleanPolynomialRing()
  sage: u^2
  u
  sage: 2*u
  0

So, just to be on the safe side: The choice you mention is between very
different rings.

Best regards,
Simon

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