A mathematical introduction to cryptographic primitives in blockchain technology.

crypto graphic and block chains updated-01-01.png

cryptographic.tar.gz

ellipticCurves

Algorithms

Blockchain-based distributed public ledgers can securely store our data without the need for a centralized controlling authority. Blockchain technology uses intriguing mathematical and cryptographical concepts, which are usually misunderstood. 

This course presents a comprehensive overview of the basic concepts of blockchain while providing deep insights into its background in mathematics and cryptography. Next, you’ll learn about the critical cryptographical vulnerabilities and attacks against blockchain technology and how to encounter them. Finally, the course describes possible attacks against blockchains by a fully-capable quantum computer and the possible remedies.

By the end of this course, you’ll have a deep understanding of blockchain technology and its mechanisms, particularly the mathematics and cryptography involved in blockchain security.

Cryptographic Primitives in Blockchain Technology

A software that can receive and send Bitcoin transactions and store our private keys.

A database of all transactions made to our address.

is used to receive funds in your Bitcoin wallet

**(Fill in the blank.)** A Bitcoin address ________.

(Fill in the blank.) A Bitcoin address ________.

A sequence of words from which a private key can be (re)generated.

A sequence of words used as a wallet password.

A sequence of words from which a Bitcoin address is generated.

Transferring funds into our bank account by selling Bitcoins.

Transferring Bitcoins from one public key to another.

What is a Bitcoin transaction used for?

A set of cryptographically verified transactions and related information.

A set of Bitcoins owned by a given public key.

A wrapper over a Bitcoin transaction that has more than 1MB of data in it.

A Bitcoin wallet encrypted with a password.

 
What algorithm does Bitcoin use to calculate the hash of a block header?

What algorithm does Bitcoin use to calculate the hash of a block header?

Choose the correct option.

Choose the correct option.

Let's test what you have learned in this chapter.

Introduction

Preliminaries

Cryptographic Primitives

Elliptic Curve Cryptography

Information Security in Software Systems

Distributed Systems

Introduction to Blockchain Technology

Bitcoin

Introduction to Quantum Computing

Bitcoin Under Broken Crypto Primitives

Post-Quantum Blockchains

In Closing

Quiz: Bitcoin