Description
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
