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

IF d k =0
0
B
@ Q k(Z) P k (Z)
W k (Z) V k (Z)
1
C
A=
0
B
@ 1 0
0 (Z,x k )
10
C
A
B
@ Q k,1(Z) P k,1 (Z)
W k,1 (Z) V k,1 (Z)
1
C
A
IF d k 6= 0 and J k,1 6=0
0
B
@ Q k(Z) P k (Z)
W k (Z) V k (Z)
1
C
A=
0
B
@ (Z,x k) 0
c k 1
10
C
A
B
@ Q k,1(Z) P k,1 (Z)
W k,1 (Z) V k,1 (Z)
1
C
A
IF d k 6= 0 and J k,1 =0
0
B
@ Q k(Z) P k (Z)
W k (Z) V k (Z)
1
C
A=
0
B
@
,c k 1
(Z,x k ) 1
10
C
A
B
@ Q k,1(Z) P k,1 (Z)
W k,1 (Z) V k,1 (Z)
1
C
A
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