RiseUpp Logo
Educator Logo

Mathematical Foundations for Cryptography

Master cryptographic mathematics, including number theory and algorithms, to understand and implement secure encryption systems and protocols.

Master cryptographic mathematics, including number theory and algorithms, to understand and implement secure encryption systems and protocols.

This foundational course explores the mathematical principles crucial for understanding cryptography and cryptanalysis. Students learn fundamental concepts including prime numbers, modular arithmetic, Euler's theorems, and primality testing. The course provides comprehensive coverage of mathematical tools essential for both symmetric and asymmetric cryptographic methods.

4.6

(321 ratings)

18,238 already enrolled

Instructors:

English

پښتو, বাংলা, اردو, 3 more

Powered by

Provider Logo
Mathematical Foundations for Cryptography

This course includes

14 Hours

Of Self-paced video lessons

Beginner Level

Completion Certificate

awarded on course completion

Free course

What you'll learn

  • Master prime numbers and modular arithmetic

  • Understand multiplicative inverses and GCD

  • Apply Euler's theorems and functions

  • Implement Chinese Remainder Theorem

  • Perform primality testing

  • Calculate discrete logarithms

Skills you'll gain

Number Theory
Modular Arithmetic
Prime Numbers
Cryptography
Euler's Theorems
Chinese Remainder Theorem
Primality Testing
Discrete Logarithms

This course includes:

3.5 Hours PreRecorded video

9 quizzes

Access on Desktop

FullTime access

Shareable certificate

Get a Completion Certificate

Share your certificate with prospective employers and your professional network on LinkedIn.

Certificate

Top companies offer this course to their employees

Top companies provide this course to enhance their employees' skills, ensuring they excel in handling complex projects and drive organizational success.

icon-0icon-1icon-2icon-3icon-4

There are 4 modules in this course

This course provides a comprehensive introduction to the mathematical foundations essential for cryptography. The curriculum covers fundamental concepts from number theory, including prime numbers and modular arithmetic, progressing to advanced topics like Euler's theorems and primality testing. Students learn through theoretical concepts and practical applications of mathematical principles in cryptographic systems.

Integer Foundations

Module 1 · 3 Hours to complete

Modular Exponentiation

Module 2 · 3 Hours to complete

Chinese Remainder Theorem

Module 3 · 3 Hours to complete

Primality Testing

Module 4 · 3 Hours to complete

Fee Structure

Instructors

Sang-Yoon Chang
Sang-Yoon Chang

4.6 rating

323 Reviews

54,351 Students

6 Courses

Assistant Professor in Computer Science

Sang-Yoon Chang is an Assistant Professor in the Computer Science Department at the University of Colorado Colorado Springs (UCCS). His research focuses on critical areas of computer security and computer networks, particularly in wireless networks, edge computing, and cyber-physical systems. His work intersects with the burgeoning fields of the Internet of Things (IoT) and cyber-physical systems, making significant contributions to the security of these evolving technologies.Professor Chang's expertise in cryptography and network security is evident in the courses he teaches, which include Asymmetric Cryptography and Key Management, Classical Cryptosystems and Core Concepts, Cryptographic Hash and Integrity Protection, Cryptography and Information Theory, Mathematical Foundations for Cryptography, and Symmetric Cryptography. These courses reflect his deep knowledge in securing digital communications and ensuring the integrity of systems, particularly in the context of emerging technologies such as IoT and edge computing.Through his teaching and research, Professor Chang is committed to advancing the understanding and implementation of robust security mechanisms for modern computing systems and infrastructures.

 William Bahn
William Bahn

4.6 rating

323 Reviews

29,019 Students

2 Courses

Lecturer in Engineering and Cryptography

William Bahn is a lecturer with a strong academic background in engineering and cryptography. He holds a Bachelor of Science in Engineering Physics and a Master of Engineering in Engineering Systems, both from the Colorado School of Mines. Bahn further advanced his education by earning a Ph.D. in Electrical Engineering from the University of Colorado Colorado Springs.With his expertise in electrical engineering and cryptography, Bahn teaches specialized courses focused on the mathematical and conceptual foundations of secure communications. His courses include Classical Cryptosystems and Core Concepts and Mathematical Foundations for Cryptography, providing students with a comprehensive understanding of cryptographic techniques and the underlying mathematical principles essential for secure systems.Bahn’s academic and research interests are centered on cryptography, making him a valuable instructor for students pursuing advanced studies in the field of secure communications and information security.

Mathematical Foundations for Cryptography

This course includes

14 Hours

Of Self-paced video lessons

Beginner Level

Completion Certificate

awarded on course completion

Free course

Testimonials

Testimonials and success stories are a testament to the quality of this program and its impact on your career and learning journey. Be the first to help others make an informed decision by sharing your review of the course.

4.6 course rating

321 ratings

Frequently asked questions

Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.