In the previous blog post, we discussed about elliptic curves and saw what they look like. We also looked at some of their special properties that enable it to be a good trapdoor function. But this is still very mathematical, right? The curves are great to look at and we understand general concept of elliptic curves, but … Continue reading Elliptic Curve Cryptography: Part 4/4 – How Do We Use Elliptic Curves?

In the previous blog post, we discussed why RSA will not be sufficient anymore. We looked at how machines are getting stronger, and that we cannot rely on factorization as our primary mathematical foundation. We also talked a bit about what we are looking for in our new system, and then said a quick hello to … Continue reading Elliptic Curve Cryptography: Part 3/4 – What Is An Elliptic Curve?

In our previous blog post, we discussed public key cryptography and how it works in general. The RSA is so powerful because it comes with rigorous mathematical proofs of security. The authors basically proved that breaking the system is equivalent to solving a very difficult mathematical problem. When we say "difficult", what it means is … Continue reading Elliptic Curve Cryptography: Part 2/4 – Why Do We Need It?

Elliptic curve cryptography is one of the most powerful techniques used in the field of modern cryptography. Just to be clear, elliptic curves have nothing to do with ellipses. I agree that the name can be slightly misleading, but once we discuss what elliptic curves are, it will become much clearer. So as you may have … Continue reading Elliptic Curve Cryptography: Part 1/4 – Why Should We Talk About It?