Course 3:
The basics of cryptography

15 mins

Module 1:
A non-scary introduction to Elliptic Curves

This is a very brief overview of how elliptic curves work.

15 mins

Module 2:
Introduction to Schnorr Signatures

Private-public key pairs are the cornerstone of much of the cryptographic security underlying everything from secure web browsing to banking to cryptocurrencies.

1 hour

Module 3:
Fraud Proofs and SPV (Lightweight) Clients - Easier Said than Done?

How do you prove, using cryptography, that someone broke the rules?

10 mins

Module 4:
Introduction to Scriptless Scripts

Scriptless Scripts are a means to execute smart contracts off-chain, through the use of Schnorr signatures.

25 mins

Module 5:
The MuSig Schnorr Signature Scheme

This report investigates Schnorr Multi-Signature Schemes (MuSig), which make use of key aggregation and are provably secure in the *plain public-key model*.

35 mins

Module 6:
Pure-Rust Elliptic Curve Cryptography

Fast, Safe, Pure-Rust Elliptic Curve Cryptography by Isis Lovecruft & Henry De Valence.