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The Diffie-Hellman key exchange algorithm can be implemented using the group of points on an elliptic curve over the field $$ \mathbb{F}_{2^n } $$ . A software version of this using n = 155 can be optimized to achieve computation rates that are slightly faster than non-elliptic curve versions with a similar level of security. The fast computation of reciprocals in $$ \mathbb{F}_{2^n } $$...
Small units like chip cards have the possibility of computing, storing and protecting data. Today such chip cards have limited computing power, then some cryptoprotocols are too slow. Some new chip cards with secure fast coprocessors are coming but are not very reliable at the moment and a little bit expensive for some applications. In banking applications there are few servers (ATM) relative to many...
This paper investigates various security issues and provides possible improvements on server-aided RSA computation schemes, mainly focused on the two-phase protocols, RSA-S1M and RSA-S2M, proposed by Matsumoto et al. [4]. We first present new active attacks on these protocols when the final result is not checked. A server-aided protocol is then proposed in which the client can check the computed signature...
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