Abstract Algebra Course
This course bridges abstract algebra concepts like groups, rings, and fields to practical cryptography applications, including RSA, Diffie-Hellman, and elliptic curves, emphasizing proofs, complexity, and secure implementations.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This Abstract Algebra Course provides a quick, practical route from fundamental group, ring, and field ideas to actual cryptographic algorithms. You'll engage with permutation and modular structures, finite fields, and specific protocols such as RSA, Diffie–Hellman, and elliptic curves, all while gaining knowledge of proofs, complexity analysis, and implementation specifics that boost both accuracy and security in your everyday tasks.
Elevify advantages
Develop skills
- Mastery of finite groups: model permutations and bitwise groups for efficient coding.
- Fluency in modular arithmetic: implement Z/nZ, fields, and secure numerical routines.
- Foundations in cryptography: construct simple RSA, Diffie–Hellman, and ECC manually.
- Algebraic algorithms: leverage group and field structures to reduce searches and verify correctness.
- Insights into security: evaluate algebraic vulnerabilities, parameters, and complexity compromises.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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