THE ORIGINAL VIEW OF REED-SOLOMON CODES THE ORIGINAL ...

The syndromes can now be expressed as:
k = e k , X
i2S
e i
G(x k )
(x k , x i )G 0 (x i )
or
k
G(x k ) =
e k
G(x k ) , X
i2S
e i 1
G 0 (x i ) (x k , x i )
This looks simpler if we dene
k =
k
G(x k )
e k =
e k
G(x k )
for k 2 Sc
and
e i =
e i
G 0 (x i )
then
k = e k , X
i2S
e i
(x k , x i )
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