#19653: New decoders for Generalized Reed-Solomon codes
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Reporter: dlucas | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.1
Component: coding theory | Resolution:
Keywords: | Merged in:
Authors: David Lucas | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/dlucas/grs_decoders | fca099ed40912d26eff991fc612ee793681000c5
Dependencies: #18928, #19897 | Stopgaps:
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Comment (by jsrn):
Your new checks seem good. But they were actually not what I was talking
about. Specifically for the BW decoder, let's say that more errors than
(d-1)/2 occurs. In that case, all (almost) bets are off! So the division
you do could for instance go fine, but you just end up with a polynomial
`h` which is nowhere near the received word you made (when you evaluate
it). There are currently no checks for this.
It's similar, I'm pretty sure, with the other decoders.
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Ticket URL: <http://trac.sagemath.org/ticket/19653#comment:38>
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