RAID6 Query

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Hi,
I just went thru a couple of papers describing RAID6. 
I dunno how relevant this discussion grp is for the qry ...but here I go :) ...
I couldnt figure out why is P+Q configuration better over P+q' where
q' == P. What I mean is instead of calculating a new checksum (thru a
lot of GF theory etc) just store the parity block (P)again. In this
case as well we have the same amount of fault tolerance or not
:-s  ...   
Let me know,

here are the links which I went thru.

http://kernel.org/pub/linux/kernel/people/hpa/raid6.pdf

http://www.intel.com/design/storage/papers/308122.htm

Regards,
Amritanshu.
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