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

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<strong>THE</strong>OREM:<br />

The algorithm described above<br />

gives a sequence of pairs, (Q k (Z);P k (Z))<br />

for which<br />

L k = L(Q k (Z);P k (Z))<br />

That is: (Q k (Z);P k (Z)) is minimal.<br />

I will just list the lemmas, with<br />

a comment about some of them.<br />

Lemma 1<br />

L k is monotone increasing.<br />

Lemma 2<br />

If 2L k k then there is<br />

a unique minimum pair satisfying<br />

the rst k equations.<br />

31

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