#20177: Better checks in GRS decoders
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       Reporter:  dlucas         |        Owner:
           Type:  enhancement    |       Status:  new
       Priority:  major          |    Milestone:  sage-7.1
      Component:  coding theory  |   Resolution:
       Keywords:                 |    Merged in:
        Authors:                 |    Reviewers:
Report Upstream:  N/A            |  Work issues:
         Branch:                 |       Commit:
   Dependencies:                 |     Stopgaps:
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Description changed by dlucas:

Old description:

> Some checks on the output on `decode_to_code` for Gao, Berlekamp-Welch
> and Key-Equation Syndrome decoders are actually useless.
>
> I also noticed that the nature of the input code of GRS decoders is never
> checked: one can perform the following:
>
> ```
> C = codes.RandomLinearCode(10, 4, GF(7))
> D = codes.decoders.GRSGaoDecoder(C)
> ```
>
> and actually construct the decoder... Whose decoding methods will utterly
> fail with a terrible error message!

New description:

 Some checks on the output on `decode_to_code` for Gao, Berlekamp-Welch and
 Key-Equation Syndrome decoders are actually useless.

 I also noticed that the nature of the input code of GRS decoders is never
 checked: one can perform the following:
 {{{
 C = codes.RandomLinearCode(10, 4, GF(7))
 D = codes.decoders.GRSGaoDecoder(C)
 }}}

 and actually construct the decoder... Whose decoding methods will utterly
 fail with a terrible error message!

--

--
Ticket URL: <http://trac.sagemath.org/ticket/20177#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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