A mathematical introduction to cryptographic primitives in blockchain technology.

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cryptographic.tar.gz

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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

It’s a distributed shared ledger of transactions.

It’s based on a decentralized consensus mechanism.

**(True or False)** Blockchain is a ledger of transactions that can’t be altered, deleted, or destroyed.

(True or False) Blockchain is a ledger of transactions that can’t be altered, deleted, or destroyed.

Each block of a blockchain consists of which of the following?

Each block of a blockchain consists of which of the following?

Hash identifying each block in the blockchain is generated using which of the following cryptographic algorithms?

Hash identifying each block in the blockchain is generated using which of the following cryptographic algorithms?

 An algorithm that predicts the next part of the chain.

A person doing calculations to verify a transaction.

A computer that validates and processes blockchain transactions.

What is the term for when a blockchain splits?

What is the term for when a blockchain splits?

Smart contracts that have forked off the main blockchain.

A parallel network running adjacent to the main blockchain network for additional security.

Any mechanism that allows tokens from one blockchain to be securely used within a completely separate blockchain.

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: Introduction to Blockchain Technology