Have you heard of elliptic curves before? They are used extensively in number theory and cryptography. The reason elliptic curve cryptography is gaining popularity is because it's fundamentally much stronger than the RSA algorithm, the algorithm that we all love and adore. If you don't know what elliptic curves are, just google it and see what they … Continue reading Why Are They Called “Elliptic” Curves?
Tag: Cryptography
Elliptic Curve Cryptography: Part 4/4 – How Do We Use Elliptic Curves?
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?
Elliptic Curve Cryptography: Part 3/4 – What Is An Elliptic Curve?
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?
Elliptic Curve Cryptography: Part 2/4 – Why Do We Need It?
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: Part 1/4 – Why Should We Talk About 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?
Dissecting The Riemann Zeta Function
The Riemann Zeta function is an extremely important function in mathematics and physics. It is intimately related to very deep results surrounding the prime numbers. Now why would we want to care about prime numbers? Well, the entire concept of web security is built around prime numbers. Most of the algorithms for banking security, cryptography, networking, … Continue reading Dissecting The Riemann Zeta Function
Quantum Encryption And Black Holes – Part 2/2
In the previous post, we discussed about the concepts of quantum encryption and black holes. We also talked about how we do cryptography in the subatomic world. This blog post is a continuation of that discussion. As the title suggests, the overarching theme is the relationship between quantum encryption and black holes. Let's continue talking … Continue reading Quantum Encryption And Black Holes – Part 2/2
Quantum Encryption And Black Holes – Part 1/2
Is that really the title? It looks like two random things mashed up together. Doesn't make much sense, right? Well, recent research suggests that quantum encryption and black holes may be related. A proposed mathematical proof outlines the way in which information behaves in coded messages, and this may have implications for black holes. The … Continue reading Quantum Encryption And Black Holes – Part 1/2
Image Steganography
As discussed in my previous post, steganography is the art of hiding the fact that communication is taking place. We achieve this by hiding original information inside other information known as carrier files. Many different carrier file formats can be used, but digital images are the most popular because of their frequency of occurrence on … Continue reading Image Steganography
Steganography
Let's say that we want to communicate with someone secretly. We prefer that only the intended recipient have the ability to decode the contents of the communication. We obviously want to keep the message secret. Sounds familiar? A common solution to this problem is to use encryption. An encryption scheme takes a message and transforms … Continue reading Steganography
Perpetual Enigma 