Re: Triple parity and beyond

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Hi Piergiorgio,

Checking better I found that for PAR3 it was also evaluated a Cauchy
matrix, but they preferred to use a RS with FFT in GF(2^16 +1).

http://sourceforge.net/mailarchive/forum.php?forum_name=parchive-devel&max_rows=25&style=nested&viewmonth=201006

Note that using a Cauchy matrix for a MDS is something well known.
What I did is just to adapt a Cauchy matrix to be compatible with the
present Linux kernel implementation. I think it has a value only for
Linux or compatible implementations.

Ciao,
Andrea

On Sat, Nov 23, 2013 at 11:10 PM, Piergiorgio Sartor
<piergiorgio.sartor@xxxxxxxx> wrote:
> Hi Andrea,
>
> On Sat, Nov 23, 2013 at 08:55:08AM +0100, Andrea Mazzoleni wrote:
>> Hi Piergiorgio,
>>
>> > How about par2? How does this work?
>> I checked the matrix they use, and sometimes it contains some singular
>> square submatrix.
>> It seems that in GF(2^16) these cases are just less common. Maybe they
>> were just unnoticed.
>>
>> Anyway, this seems to be an already known problem for PAR2, with an
>> hypothetical PAR3 fixing it:
>>
>> http://sourceforge.net/p/parchive/discussion/96282/thread/d3c6597b/
>
> you did a pretty damn good research work!
>
> Maybe you should consider to contact them too.
> I'm not sure if your approach can be extended
> to GF(2^16), I guess yes, in that case they
> might be interested too.
>
> bye,
>
> --
>
> piergiorgio
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