#20744: Polynomial encoder for GRS codes fails if  variable name is not x
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   Reporter:  dlucas         |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  major          |        Milestone:  sage-7.3
  Component:  coding theory  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 The following:

 {{{
 sage: F = GF(11)
 sage: Fy.<y> = F[]
 sage: n, k = 10 , 5
 sage: C = codes.GeneralizedReedSolomonCode(F.list()[:n], k)
 sage: E = C.encoder("EvaluationPolynomial")
 sage: p = y^2 + 3*y + 10
 sage: c = E.encode(p);

 <BOOM>
 }}}

 fails because the polynomial to encode has to be in `'x'` with the actual
 implementation.

 This ticket fixes it, by allowing the user to specify a variable name when
 creating the encoder.

--
Ticket URL: <http://trac.sagemath.org/ticket/20744>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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