Chevron Left
Back to Number Theory and Cryptography

Number Theory and Cryptography, University of California San Diego

4.6
115 ratings
25 reviews

About this Course

We all learn numbers from the childhood. Some of us like to count, others hate it, but any person uses numbers everyday to buy things, pay for services, estimated time and necessary resources. People have been wondering about numbers’ properties for thousands of years. And for thousands of years it was more or less just a game that was only interesting for pure mathematicians. Famous 20th century mathematician G.H. Hardy once said “The Theory of Numbers has always been regarded as one of the most obviously useless branches of Pure Mathematics”. Just 30 years after his death, an algorithm for encryption of secret messages was developed using achievements of number theory. It was called RSA after the names of its authors, and its implementation is probably the most frequently used computer program in the word nowadays. Without it, nobody would be able to make secure payments over the internet, or even log in securely to e-mail and other personal services. In this short course, we will make the whole journey from the foundation to RSA in 4 weeks. By the end, you will be able to apply the basics of the number theory to encrypt and decrypt messages, and to break the code if one applies RSA carelessly. You will even pass a cryptographic quest! As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students....

Top reviews

By PW

Nov 22, 2018

I was really impressed especially with the RSA portion of the course. It was really well explained, and the programming exercise was cleverly designed and implemented. Well done.

By L

Jan 02, 2018

A good course for people who have no basic background in number theory , explicit clear explanation in RSA algorithm. Overall,a good introduction course.

Filter by:

25 Reviews

By Alex Yursha

Jan 17, 2019

Sometimes material is very dense. Watching in 1x speed multiple times advisable for some modules later in the course.

By Yordan Stoev

Jan 01, 2019

I really loved the final quiz. It was very interesting.

By Bhargav Das

Dec 27, 2018

It was indeed a great course. I already had the fundamentals of Cryptography and No. Theory but this course helped me brush up my fundamentals and the instructors kept things simple and concise and most importantly to the point at the same time. The puzzles, quizzes, and the quizzes in between the videos were awesome too.Thank You.

By Doug DesCombaz

Dec 26, 2018

It serves as a table of contents of the material which makes it useful to seek out other lecturers on YouTube. I wouldn't recommend someone uses this course by itself.

By Gautham A Nagendran

Dec 09, 2018

Amazing course, learnt a lot. The assignments were a bit difficult [ and time consuming ] but they helped me gain a better understanding of the concepts.

By Pete Wills

Nov 22, 2018

I was really impressed especially with the RSA portion of the course. It was really well explained, and the programming exercise was cleverly designed and implemented. Well done.

By Gholamreza Sabery Tabrizy

Oct 16, 2018

This course is not deep and rigorous enough to familiarize you with fundamentals of Number Theory. It just covers some theorems! No reference book is suggested, and worst of all accent of teachers makes it really hard to understand the material.

By Aditya Dutta

Oct 07, 2018

I really liked the structure of the topics

By Ramesh

Sep 23, 2018

Right amount off details with very simple and intuitive explanation.

By Ashish Dattatray Sarode

Jul 23, 2018

Excellent course, this course is more about numerical theory behind cryptography.

It has excellent assignments using Python.