|Subject:||Re: [Axiom-developer] About finite fields|
|Date:||Mon, 28 Oct 2013 10:04:10 +0100 (CET)|
|User-agent:||Alpine 2.02 (DEB 1266 2009-07-14)|
The problem with having Axiom "automatically" perform a irreducibility check is that the check could be time consuming. Suppose you have a polynomial of high degree whose factorization takes, say, a couple of minutes. With an automatic irreducibility test, AXIOM would factor the polynomial every time you create the finite field, which is probably not what you would want.
I didn't consider this aspect. You are right: it can be quite annoying indeed.
If there is no way out from this, maybe it could be worth to stress in the documentation this point and the fact tha the user _must_ take care of the chosen polynomial.
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