- changed title to overwriting GeneralizedReedSolomonCode functions known from the book
overwriting GeneralizedReedSolomonCode functions known from the book
Issue #84
open
- covering_radius should return the value n-k
- dual_code should construct a GeneralizedReedSolomonCode
- weight_distribution, C.weight_enumerator are known (MDS codes)
- spectrum
Comments (15)
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reporter
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- changed milestone to Nice-to-have
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repo owner
- marked as critical
Changed to critical, as it's something that should be added to #18928. Dual code already done by the way.
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If one or more properties are tricky to implement for general RS codes, I suggest not postponing #18928 because of them, but rather make a new ticket later on.
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repo owner
I'm currently investigating this (and browsing through linear code at the same time). I'll add to #18928 the ones that seem rather easy to implement.
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Cool. Remember to make an issue for the remaining, since this is closed :-)
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repo owner
- changed status to resolved
Added all requested methods in #18928 (except spectrum, as it seems to be the same thing than the weight distribution)
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Awesome!
Did we already have an open issue on the automorphism group of GRS codes?
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repo owner
No we don't. Can you open one please? As I don't really know what's special with GRS codes' automorhpism group...
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Me neither. But Daniel mentioned that it was fully known. I don't have a reference though.
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There's some recent work on the number of GRS codes though :-) That could be implemented as static methods on the GRS code class. I don't know how important it is, though...
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repo owner
Well, I'll ask Daniel about this. By the way, I found that when you mentioned the automorphism group : http://www.usna.edu/Users/math/wdj/_files/documents/papers/grs-codes-aut-gp11.pdf
I'll have a look at it at some point.
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reporter
Well in some cases it is known : for instance you have cyclic Reed-Solomon codes.
In general, with poor lambda's, no chance to get a non trivial automorphism group.
Daniel
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Yes, ok, it doesn't look so easy. We might consider handling the cyclic case but otherwise we should just let it be then...
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- changed status to open
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