Abstract Algebra Course
This course bridges abstract algebra to practical cryptography, covering groups, rings, fields, and key protocols like RSA and elliptic curves with emphasis on proofs and implementation.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Abstract Algebra Course provides a quick, practical route from basic group, ring, and field ideas to actual cryptographic algorithms. You will handle permutation and modular setups, finite fields, and specific protocols such as RSA, Diffie–Hellman, and elliptic curves, all while gaining knowledge in proofs, complexity analysis, and implementation aspects that boost accuracy and security in your everyday tasks.
Elevify advantages
Develop skills
- Finite group mastery: model permutations and bitwise groups for fast code.
- Modular arithmetic fluency: implement Z/nZ, fields, and secure number routines.
- Cryptography foundations: build toy RSA, Diffie–Hellman, and ECC by hand.
- Algorithmic algebra: use group and field structure to cut search and prove correctness.
- Security insight: analyze algebraic attacks, parameters, and complexity tradeoffs.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course workload?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course