Lattices and Tikz

I’m writing a paper, which temporary (but maybe final) title is Timing and Lattice Attacks on a Remote ECDSA OpenSSL Server: How Practical Are They Really?

(and I already have a github repo for that)

I’m explaining a few things about Lattices, taking some of the old material I already wrote for my last paper Survey: Lattice Reduction Attacks on RSA. But this time I wanted to be more pedagogical, with more graphics and illustrated examples. For reasons that I ignore lattices are seldom well explained on the internet thing. Here’s a little preview, I guess you can re-use the images however you want, just don’t copyright them against me :|

What are Lattices?

The Shortest Vector Problem:

The Closest Vector Problem:

How do we solve (approximate) the SVP? LLL:

and Babai’s first procedure that approximates a solution to the CVP: