# math

3 articles with this tag

## Elliptic Curve Cryptography: finite fields and discrete logarithms

This post is the second in the series ECC: a gentle introduction.

In the previous post, we have seen how elliptic curves over the real numbers can be used to define a group. Specifically, we have defined a rule for point addition: given three aligned points, their sum is zero ($P + Q + R = 0$). We have derived a geometric method and an algebraic method …

## Elliptic Curve Cryptography: a gentle introduction

Those of you who know what public-key cryptography is may have already heard of ECC, ECDH or ECDSA. The first is an acronym for Elliptic Curve Cryptography, the others are names for algorithms based on it.

Today, we can find elliptic curves cryptosystems in TLS, PGP and SSH, which are just three of the main technologies on which the modern web and IT world …

## Prime numbers and universe factories

I'm a XKCD fan, and I look it up regularly. There's a comic that I particularly enjoyed: Pi Equals.

Well, it appears that Randall was right in that there's a help message hidden somewhere. And I just found it in a prime number:

245178888024581899558766786108789912235672909204719666025638877624752119760547413887830514281649480308707369249


That number corresponds to the ASCII encoding of this message …