Notes that I made a long time ago when I was just learning the basics of Cryptography.

• Types of Cryptography
• Classical encryption techniques
• Prime numbers
• Modular arithmetic
• Congruence
• Properties of Modular arithmetic
• Modular exponentiation
• Euclidean algorithm
• Relative Prime numbers
• Euler's totient function
• Fermat's little theorem
• Euler's theorem
• Primitive Root
• Extended Euclidean algorithm(For finding Multiplicative inverse)
• Chinese remainder theorem
• Discrete logarithm problem
• Fermat's primality test
• Miller-rabin primality test
• Group
• Abelian Group
• Cyclic Group
• Rings
• Commutative rings
• Integral domain
• Fields
• Finite fields
• Confusion
• Diffusion
• Stream cipher
• Block cipher
• Data encryption standard(DES)
• Advanced encryption standard(AES)
• Double DES
• Block operations
• Pseudorandom number generator
• Asymmetric cryptography
• Symmetric Vs Asymmetric cryptography
• RSA algorithm
• Diffie-Hellman key exchange
• Elliptic curve cryptography
• Elliptic curve diffie-hellman(ECDH)
• Elgamal cryptosystem
• Rabin cryptosystem
• Knapsack cryptosystem
• Cryptographic hash functions
• Digital signatures
• Secure hash algorithm(SHA)
• Message authentication codes(MAC)
• Message authentication functions
• Hash based MACS(HMAC)
• Data authentication algorithm(DAA)
• Cipher based MAC(CMAC)
• Digital signatures
• Elgamal digital signature
• Schnorr digital signatures scheme
• Digital signatures standard
• Digital signature algorithm