Smart Card IC Design EEPROM RAM ROM CPU Coprocessors Logic
Smart Card IC Design EEPROM RAM ROM CPU Coprocessors Logic
Smart Card IC Design EEPROM RAM ROM CPU Coprocessors Logic
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Implications for Cryptography<br />
• Need to determine cardinality of Jac(C)<br />
(see talks by Kedlaya, Lauder, Vercauteren)<br />
• Assume k=GF(q), and C curve of genus g.<br />
• Then |Jac(C)|~q g (Weil).<br />
• We want |Jac(C)| around 2 160 .<br />
• Higher genus allows to go to smaller size of ground field.<br />
• Hence for g>=5 fieldsize around 2 32 would suffice !?<br />
• Index Calculus tells us: only g=1,2,3 allowed.<br />
• For genus 3 a field size of ~ 64 bits suffices.<br />
Semiconductors, BUID, CCC Kim Nguyen, Essen, 2002-09-23 2
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