CryptoBook | MDBook built by the CryptoHack community

CryptoBook is a CSS library. CryptoBook has no bugs, it has no vulnerabilities and it has low support. You can download it from GitHub.

I am starting this repository to motivate myself to create a space to document the mathematics I am learning while building CryptoHack and learning cryptography. More than anything, I am grateful for the community of people within CryptoHack who have made the discord such an interesting and educational place, and I hope that this repo can become an extension of that, helping each other learn in a more formal and permanent setting. My first goal for this book is to include background chapters on some aspects of pure mathematics which appear in cryptography. Something I feel that is commonly missing from texts is why certain protocols use certain properties. Why do perform Diffie-Hellman key exchange in Abelian groups? Of all the curves, why do we pick elliptic curves? Would conic sections be ok? To have a proper appreciation for this, I think a offering a discussion on the fundementals of the inner workings of cryptographic protocols is necessary. My hope is to present this in a form which is palatable for people without formal educations in mathematics. Another goal of this project is to include code snippets as examples of protocols, attacks and maths tricks as standard. I know several of us have used the sage docs when trying to solve CTFs and commonly it's hard to find precisely what functions to use, and when. I would like this book to have chapters devoted to protocols and their weaknesses. Implmentation of attacks with code given. For now, I think it would be best to have examples given in sage/python and as the book grows, we can look to Magma, or lower-level programming languages. I hope these two goals are interesting to the community and that together we can create a great resource together. The book is run using mdbook. The whole book is built from markdown files and should be simple to upkeep. We have access to MathJax for latex maths, and we have code highlighting for code snippets.