#20840: Automatically add generic encoders/decoders to any linear code class
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       Reporter:  dlucas             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.3
      Component:  coding theory      |   Resolution:
       Keywords:  beginner           |    Merged in:
        Authors:  David Lucas        |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/dlucas/automatically_add_generic_encoders_and_decoders_to_any_linear_code|  
ad1cadd4b0c2a46d8ba4b14fa4a7dd2bc79e1842
   Dependencies:                     |     Stopgaps:
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Comment (by jsrn):

 I don't think it makes sense to let all codes have `ParityCheckEncoder`,
 the reason being that for any code where the default encoder is something
 else, say `A`, then `ParityCheckEncoder` behaves exactly like
 `SystematicEncoder`.

 This is because `ParityCheckEncoder.generator_matrix` calls
 `code.parity_check_matrix().right_kernel()` which always returned a matrix
 in reduced row echelon form, i.e. the same systematic generator matrix
 that `SystematicEncoder` uses.

--
Ticket URL: <https://trac.sagemath.org/ticket/20840#comment:3>
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