#4636: improve polynomial_modn_dense_ntl.Polynomial_dense_mod_p
---------------------------+------------------------------------------------
 Reporter:  ncalexan       |       Owner:  was                            
     Type:  defect         |      Status:  new                            
 Priority:  major          |   Milestone:  sage-3.2.1                     
Component:  number theory  |    Keywords:  polynomial modn finite field gf
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 sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p is
 very old.

 The attached patch removes (but doesn't yet delete -- could you verify it
 can be removed, reviewer?) Polynomial_dense_mod_p and implements
 polynomial_modn_dense_ntl.Polynomial_dense_modp_ntl_zz/ZZ using the newer
 techniques.

 It makes basic arithmetic faster.  I was finding that arithmetic in
 GF(next_prime(2^50))['x'] was slower than in
 Zmod(next_prime(2^50)+1)['x'], but now I cannot find the comparison!  In
 any case, this is much faster for doing gcd/xgcd in GF(p)['x'].

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4636>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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