Takeaways:

1) Diffie-Hellman job is it allows protocols to send messages without the ability to remove private keys.

2) Elliptic curve formula is y^2 = x^3 +ax +b, a mathematical curves used to create secure public and private keys.

3) The Elliptic Curve Cryptography is very secure because it is harder to solve than Diffie-Hellman algorithm

Takeaways:

1) AES takes 128-bit of message and encrypts it into 128 bit ciphertext.

2) AES organizes data in 4x4 grid for 128 bits (16 bytes)

3) AES works by transforming data through substitution, shifting, mixing and adding keys to make the original messages encrypted.

Takeway:

1) GPU can perform a large number of computations in parallel very quickly

2) 256-bit security is very strong because possible number of combination is about 2^256 possibilities

3) 256 bit encryption is secure because number of possible keys is so large that it could longer than the age of universe to guess the correct key.

Takeways:

1) The main difference with Bitcoin is that the system does not rely on a bank to verify transactions. But instead it uses a decentralized verification system that relies on mathematics and cryptography.<br /> 2) Producing a digital signature involves functions that depend on both the message itself and the user's private/secret key.<br /> 3) A blockchain is like a digital ledger that records transactions securely and tracks assets across networks