Cryptographic Primitives in Blockchain Technology

INTERACTIVE COURSE

Cryptographic Primitives in Blockchain Technology

Intermediate

115 Lessons

23h

Certificate of Completion

AI Explanations

AI Explanations

Cryptographic Primitives in Blockchain Technology

11 Playgrounds

10 Quizzes

106 Illustrations

Takeaway Skills

Familiarity with the basics of number theory, abstract algebra, and computing an algorithm’s time complexity

Working knowledge of the fundamentals of cryptography algorithms and principles

An understanding of the RSA cryptosystem and elliptic curve-based cryptography

Familiarity with the major types of attacks against different cryptosystems

Working knowledge of concepts of blockchain in general as well as from the perspective of Bitcoin

An understanding of the limitations of the cryptographic technique in the post-quantum computation era

Familiarity with the types of attacks against blockchain technology after the advent of fully-capable quantum computers, and their remedies

Course Overview

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 ...Show More

Course Content

1

Introduction

About the Course

2

Preliminaries

Number Theory Euler’s Totient Function 𝜑(n)Modular Arithmetic Groups Groups: Elementary Properties Subgroups Cyclic Groups The Group of Units Rings Fields Finite Fields Computational Complexity Asymptotic Order of Growth Classes of Time Complexity Efficiency of Algorithms Quiz: Preliminaries

3

Cryptographic Primitives

Introduction Cryptography Basics A Basic Cryptosystem Symmetric vs. Asymmetric Cryptography Public-Key Cryptography The Basic Functionality of a Public-Key Cryptosystem The Diffie-Hellman Key Exchange The Discrete Logarithm Problem Hash Functions The Security of Hash Functions and the Birthday Attack Real Hash Functions Real Hash Functions: Structural Weakness Merkle Trees Quiz: Cryptographic Primitives

4

Elliptic Curve Cryptography

Introduction Weierstrass Equations Elliptic Curves Group Law Elliptic Curves Over Finite Fields Addition of Points Group Structure The Elliptic Curve Discrete Logarithm Problem Attacking the ECDLP Cryptographically Secure Elliptic Curves Additional Security Requirements Recommended Elliptic Curves by Standards The Elliptic Curve secp256k1 The Elliptic Curve Digital Signature Algorithm Attacks on ECDSA Quiz: Elliptic Curves Cryptography

5

Information Security in Software Systems

The CIA Triad Attacks Against Distributed Systems Proof-of-Work Quiz: Information Security in Software Systems

6

Distributed Systems

18 Lessons

7

Introduction to Blockchain Technology

18 Lessons

8

Bitcoin

8 Lessons

9

Introduction to Quantum Computing

5 Lessons

10

Bitcoin Under Broken Crypto Primitives

5 Lessons

11

Post-Quantum Blockchains

6 Lessons

12

In Closing

2 Lessons

COURSE AUTHOR

How You'll Learn

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