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9.4 Enhancements for gcd and inverse 469<br />

}<br />

q = ⌊u/v⌋;<br />

(u, v) =(v, u mod v);<br />

0 1<br />

A =<br />

A;<br />

1 −q<br />

}<br />

return A;<br />

3. [Set up recursive procedure hgcd to modify global matrix G]<br />

hgcd(b, x, y) { // Variables u, v, q, m, C are local.<br />

if(y == 0) return;<br />

u = ⌊x/2b⌋; v = ⌊y/2b⌋; m = B(u); // B is as usual the bit-length function.<br />

if(m

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