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Joux's work is really summarized by this answer already on Crypto.SE. He discovered a way to generalize Diffie-Hellman to multiple (more than 2) parties. In particular though, he presented a single round protocol for key establishment between 3 parties. Something that until then was thought to be impossible. Boneh and Franklin developed the first fully ...


2

To answer your question: it's expected, because you're using the wrong modulus. CodesInChaos pretty much gave you the correct answer; I'll try to explain in more detail about what's actually going on. We can define an elliptic curve based on any finite field $GF(p^k)$; in the case of P=256, we have ...


1

Generally it is not advisable to create your own cryptographic operations on a smart card. When programming a smart card you need to understand the risks of side-channel attacks and perturbation attacks. For instance, you may need to program your way around DPA (Differential Power Analysis) and LFI attacks (Laser Fault Injection). Normally you program on ...



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