Cryptography and Cryptosystems

What is cryptography and what is it used for? What does a cryptosystem look like? What are its components, and who are the parties involved? What are its design objectives? What is the difference between symmetric key cryptography and public key cryptography? All of these questions will be answered in this section.

Symmetric Key Cryptography

It's time to take a look at some simple cryptography algorithms. These algorithms are not used anymore since they are not secure, but each of them was used centuries ago for communicating sensitive information including military strategy during wars. Moreover, these algorithms are a great way to get started with cryptography because its possible to work out examples by hand, a luxury which modern algorithms do not provide.

Modern Symmetric Key Cryptography

In this section, we'll take a look at modern symmetric key algorithms. The first two tutorials, block ciphers and feistel network, discuss the overall structure of these algorithms. The next three tutorials discuss specific algorithms in detail, each introducing us to a new algorithm which is currently in use - Triple DES, Advanced Encryption Standard, and Blowfish.

Public Key Cryptography (and Digital Signatures)

In this section, we'll take a look at public key cryptography. These algorithms form the backbone of online digital communication. These algorithms make extensive use of number theory, and the required background in number theory is included in the tutorials.

The RSA algorithm allows communication between two people without the requirement that the two people establish a shared secret key. Diffie-Hellman Key Exchange is used to establishing a shared secret key so that symmetric key algorithms we discussed in the previous section can be used thereafter. Digital Signature Algorithm is used for, well, digital signatures.

Random Number Generation, Hash Functions, Password Salting

How are random numbers generated? How can we efficiently check whether or not a large document was tampered with? What kinds of attacks can be done to guess passwords? How does password salting protect against them? What makes current computer systems and digital information vulnerable given the mathematical and computational guarantees of their unbreakability?