#8373: Construct finite fields with primitive defining polynomial
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       Reporter:  rkirov          |        Owner:  cpernet
           Type:  enhancement     |       Status:  new
       Priority:  minor           |    Milestone:  sage-6.4
      Component:  finite rings    |   Resolution:
       Keywords:                  |    Merged in:
        Authors:  Jeroen Demeyer  |    Reviewers:
Report Upstream:  N/A             |  Work issues:
         Branch:                  |       Commit:
   Dependencies:  #16927          |     Stopgaps:
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Comment (by pbruin):

 Replying to [ticket:8373 rkirov]:

 > Also add an argument `modulus="pari"` (and make it the default) to use
 PARI's `ffinit()`.
 This already exists in `PolynomialRing_dense_mod_p.irreducible_element()`
 under the name `modulus="adleman-lenstra"`.  It is the default if no
 Conway polynomial is known and the characteristic is odd.

 Some finite field implementations accept a string `modulus`, but this
 should be obsolete; `FiniteFieldFactory.create_key_and_extra_args()` uses
 the above method to convert a string `modulus` into an actual polynomial.

--
Ticket URL: <http://trac.sagemath.org/ticket/8373#comment:11>
Sage <http://www.sagemath.org>
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