In this course you will learn about cryptography, certificates and certificate signing requests (CSRs) with OpenSSL. You will understand the most popular pubic key (asymmetric) cryptosystems on a step by step basis - such as RSA and Elliptic Curve cryptosystems. You can learn about the theory as well as the implementation for every approach.

Chapter 1 - Cryptography Fundamentals

• what is the aim of cryptography?

• private key and public key cryptosystems

Chapter 2 - Public and Private Keys in OpenSSL

• generating RSA keys

• encryption example with RSA

• generating ECC keys

Chapter 3 - Certificates

• root certificates (self-signed certificates) and intermediate certificates

• certificate parameters and configuration files

Chapter 4 - Certificate Signing Request (CSR)

• what are certificate signing requests?

• signing intermediate certificates

• verifying the chain of trust

Chapter 5 - Transport Layer Protocol (TLS)

• what is the transport layer protocol?

• how network communication works

• certificate revocation list (CRL)

Chapter 6 - RSA Algorithm

• RSA algorithm theory

• the problem of factorization

• is it possible to crack RSA algorithm?

Chapter 7 - Elliptic Curve Cryptography (ECC)

• elliptic curve cryptography theory

• double and add algorithm

• point addition algorithm

• digital signatures with elliptic curves

• why does Bitcoin use elliptic curve cryptography?

• is it possible to crack elliptic curves?

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