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Smart Card IC Design EEPROM RAM ROM CPU Coprocessors Logic

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ECC:<br />

Implementational choices<br />

• The choice of special curves can lead to<br />

substantial performance gains:<br />

• Subfield curves defined over GF(q)<br />

considered over GF(q n ):<br />

Use of Frobenius automorphism<br />

can speed up scalar multiplication.<br />

• Curves with special automorphisms:<br />

Similarly to the usage of the Frobenius,<br />

special automorphisms of a curve can considerably<br />

speed up the scalar multiplication.<br />

Semiconductors, BUID, CCC Kim Nguyen, Essen, 2002-09-23

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