In this course you will learn about cryptography and hashing in Python and Java as well. You will understand most of the private key (symmetric) and pubic key (asymmetric) cryptosystems on a step by step basis. You can learn about the theory as well as the implementation for every cryptographic algorithm - and how to crack these systems (so what are the weaknesses).

Chapter 1 - Cryptography Fundamentals

• what is the aim of cryptography?

• private key and public key cryptosystems

Chapter 2 - Caesar Cipher

• Caesar cipher theory and implementation

• how to crack Caesar cipher

• frequency analysis and language detection

Chapter 3 - Vigenere Cipher

• Vigenere cipher theory and implementation

• how to crack Vigenere cipher with Kasiski-algorithm

Chapter 4 - One Time Pad (Vernam Cipher)

• random and pseudo-random numbers

• the XOR logical operator

• one time pad theory and implementation

• why is it impossible to crack Vernam cipher?

• Shannon's secrecy

Chapter 5 - Data Encryption Standard (DES)

• data encryption standard (DES) theory and implementation

• cryptoanalysis techniques

• linear cryptoanalysis and differential cryptoanalysis

Chapter 6 - Advanced Encryption Standard (AES)

• advanced encryption standard (AES) theory and implementation

• Shannon's confusion and diffusion

Chapter 7 - Asymmetric Cryptosystems

• problems with private key cryptosystems

• random numbers and prime numbers in cryptography

Chapter 8 - Modular Arithmetic

• modular arithmetic fundamentals

• finding prime numbers - naive approach and advanced algorithms

• integer factorization problem

• discrete logarithm problem

Chapter 9 - Diffie-Hellman Key Exchange

• Diffie-Hellman key exchange algorithm theory and implementation

• prime numbers and primitive roots

• man-in-the-middle attack

Chapter 10 - RSA Algorithm

• RSA algorithm theory and implementation

• the problem of factorization

Chapter 11 - Advanced Modular Arithmetic

• Euclidean and the greatest common divisor (GCD) problem

• extended Euclidean algorithm (EGCD)

• modular inverse problem

Chapter 12 - Elliptic Curve Cryptography (ECC)

• elliptic curve cryptography theory and implementation

• why does Bitcoin use elliptic curve cryptography?

Chapter 13 - Cryptographic Hashing

• what is hashing in cryptography?

• properties of hashing

• birthday paradox

• MD5 and SHA algorithms

Thanks for joining my course, let's get started!