On Sun, May 24, 2015 at 12:05 PM, Dima Pasechnik <dimp...@gmail.com> wrote:
>
>
> On Saturday, 23 May 2015 22:36:10 UTC+1, vdelecroix wrote:
>>
>> On 23/05/15 12:53, Dima Pasechnik wrote:
>>  > please review #18480 that fixes the corner case
>>
>> Thanks for the fix Dima.
>>
>> >> For  r > 5  it seems to hang interminably, while back in
>> >> November/December I could do  r = 7  in a few seconds, and
>>  >> do  r = 10  without waiting too long.
>
>
> this sounds very weird that minimum distance of a code of length 127 and
> dimension 120 (this is for r=7) can be done in few seconds
> using the quite brute force algorithm, that would call GAP's
> AClosestVectorCombinationsMatFFEVecFFECoords
> (see http://gap-system.org/Manuals/doc/ref/chap23.html#X82E5987E81487D18 for
> the description)
> that chases all the linear combinations of i vectors, for i = 1..122 (in
> this case).
>

Once you show that d!=1 and d!=2 (which can be done rather quickly in
the binary case), all GAP needs to do is find 1 codeword of weight 3
in the kernel of the check matrix H. It doesn't seem that weird to me
that such a vector can be found quickly.


> Probably the GAP part was buggy before and didn't return the correct results
> in general
> (I vaguely recall there were reports of this code in GAP being buggy)
>
> Dima
>
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