3
$\begingroup$

I have been doing a project that uses the PBC library developed by Ben Lynn. But I am still not clear on how PBC is related to ECC. I know that this is a site for complex crypto QA, but I did not know where else my question would be answered. I have tried to learn from online sites, but I don't understand most of them.

If my questions merits a good answer, please help me. Otherwise please give me some pointers in the right direction.

$\endgroup$
5
$\begingroup$

Most pairing-based cryptography (PBC) schemes are based in elliptic curve cryptography (ECC). The main function in PBC is the pairing, which is a function $e$ with two parameters, e.g. $r = e(P, Q)$. The relationship with ECC is that $P$ and $Q$ are points in elliptic curves over finite fields. The value $r$ is an element of a certain finite field (related to the fields used in the elliptic curves).

Some PBC protocols also need to compute point multiplication, e.g. $kP$, which is also the central algorithm of ECC and therefore can use the same existing techniques and optimizations.

$\endgroup$
  • $\begingroup$ Thanks for the answer. Well, does this mean that PBC can also be implemented over other schemes? $\endgroup$ – Ajoy Mar 6 '13 at 14:51
  • $\begingroup$ Yes, but the only alternative I know is PBC using elliptic nets, which are related but different to ECC. $\endgroup$ – Conrado Mar 6 '13 at 18:51

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.