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EMV(Chip) Cards - What's the point of having the chip card communicating directly to the authorising server? & Clarification of CDA in EMV

Ok I understand from my research that the Chip Card creates an AC Key(MasterKey+AccNumber) to communicate with the authorizing server securely (3DES key to have encrypted communication) but I don't ...
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Advantages of using a Digital Signature Scheme (DSS) with Appendix instead of DSS giving Message Recovery

I've been looking at the EMV draft specification (pdf) for using Eliptic Curve Cryptography in payment cards instead of the currently used RSA. One thing I've noticed is that they've moved from using ...