A mathematical introduction to cryptographic primitives in blockchain technology.

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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

the hardness of decoding general linear codes.

the hardness of encoding general linear codes.

**(Fill in the blank.)** Code-based cryptography security is based on_____________.

(Fill in the blank.) Code-based cryptography security is based on_____________.

Which is not a post-cryptographic scheme?

Which is not a post-cryptographic scheme?

It’s the shortest path algorithm of a graph.

It’s the shortest nonzero vector in the lattice.

It’s the longest nonzero vector in the lattice.

What is the Shortest Vector Problem (SVP)?

What is the Shortest Vector Problem (SVP)?

How many different key pairs are produced during the initial key generation process in an $n$ multi-time signatures scheme?

How many different key pairs are produced during the initial key generation process in an <math><semantics><mrow><mi>n</mi></mrow><annotation encoding="application/x-tex">n</annotation></semantics></math>n multi-time signatures scheme?

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: Post-Quantum Blockchain