#12007: creation of extension field of finite field needs more parameter 
checking
--------------------------------+-------------------------------------------
   Reporter:  mariah            |          Owner:  AlexGhitza
       Type:  defect            |         Status:  new       
   Priority:  major             |      Milestone:  sage-4.8  
  Component:  basic arithmetic  |       Keywords:            
Work_issues:                    |       Upstream:  N/A       
   Reviewer:                    |         Author:            
     Merged:                    |   Dependencies:            
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 In sage-4.7.2,

 {{{
 sage: F = GF(2)
 sage: P.<x> = PolynomialRing(F)
 sage: H.<h> = GF(2^8, name='h', modulus=x^3+x+1) # 2^8 rather than 2^3
 sage:
 sage: len(set([h^i for i in xrange(10000)]))
 21
 }}}

 H is something - but it is not a field!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12007>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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