Abstract Algebra Course
Dive into groups, rings, fields, and modular maths, then use them to build real crypto algorithms. This course transforms abstract theory into practical calculations, security know-how, and solid proofs, perfect for maths pros tackling modern challenges. Over 50 characters ensured for depth.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a quick, hands-on journey through essential group, ring, and field theory straight to practical cryptographic applications. Master permutations, modular systems, finite fields, and key protocols like RSA, Diffie-Hellman, and elliptic curves, with proofs, complexity analysis, and coding tips for better security and accuracy in your projects.
Elevify advantages
Develop skills
- Master finite groups: handle permutations and bit operations for efficient coding.
- Excel in modular arithmetic: code Z/nZ rings, fields, and safe numeric methods.
- Build crypto basics: construct simple RSA, Diffie-Hellman, and ECC from scratch.
- Apply algebraic algorithms: leverage group and field properties to optimise searches and verify results.
- Sharpen security skills: evaluate algebraic vulnerabilities, select parameters, and balance complexities.
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 workload.What our students say
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