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The Mathematics of Cryptography: From Ancient Rome to a Quantum Future 

  • Offered byFutureLearn

The Mathematics of Cryptography: From Ancient Rome to a Quantum Future
 at 
FutureLearn 
Overview

Explore the history of code breaking and cryptography to prepare for the future of communications and quantum computing.

Duration

3 weeks

Total fee

2,205

Mode of learning

Online

Credential

Certificate

The Mathematics of Cryptography: From Ancient Rome to a Quantum Future
 at 
FutureLearn 
Highlights

  • Earn a certificate from University of York
Details Icon

The Mathematics of Cryptography: From Ancient Rome to a Quantum Future
 at 
FutureLearn 
Course details

More about this course
  • The ability to use codes to send secret messages has been of critical importance to civilisations for thousands of years. Nowadays, the need for messages to remain hidden from anyone intercepting them underpins services we use every day: internet banking, online shopping, instant messaging, and more.
  • On this course from the University of York, you'll travel back in time to discover the earliest codes and ciphers. With an emphasis on mathematical developments that have helped make and break some of the strongest codes in history, you'll learn what makes cryptography vital to humans and society.
  • You'll start by tracing two millennia of codes and code cracking, from the first ciphers used by Roman emperors to Nazi communications decoded during the Second World War. In Week 2 of the course, you'll explore in detail the maths which was used to break the legendary Enigma machine.
  • As you move through the chronology of cryptography, you'll investigate key mathematical concepts, including modular arithmetic, permutations, and prime numbers.
  • In the last week of the course, you'll flash forward to the present day of cryptography. You'll learn about cutting-edge cryptographic techniques, and the mathematics of modern-day secure communications.
  • Finally, you'll look to the future of encryption and cryptography. You'll discuss how quantum computers could transform the way we communicate and share information.
  • By the end of the course, you'll have a solid foundation in the mathematical theory underlying a variety of cryptographic techniques.
Read more

The Mathematics of Cryptography: From Ancient Rome to a Quantum Future
 at 
FutureLearn 
Curriculum

From the Romans to the 1800s

Welcome and introduction

The Caesar Cipher

Substitution Ciphers

The Vigenère Cipher

Looking back, and ahead

The Engima machine

Introduction

How Enigma was used

Permutations

Breaking Enigma

Looking back, and ahead

21st century cryptography

Public key cryptography

Diffie–Hellman key exchange

The RSA algorithm

Quantum cryptography

Looking back, and ahead

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The Mathematics of Cryptography: From Ancient Rome to a Quantum Future
 at 
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