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, while developing skills in proofs, complexity analysis, and secure implementations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Abstract Algebra Course provides a quick, hands-on route from essential group, ring, and field ideas to actual cryptographic methods. You'll handle permutation and modular setups, finite fields, and specific protocols such as RSA, Diffie-Hellman, and elliptic curves, all while picking up proofs, complexity know-how, and practical tips that boost accuracy and safety in your everyday tasks.
Elevify advantages
Develop skills
- Finite group expertise: model permutations and bitwise groups for efficient coding.
- Modular arithmetic proficiency: put into practice Z/nZ, fields, and safe number operations.
- Cryptography basics: construct simple RSA, Diffie-Hellman, and ECC manually.
- Algorithmic algebra: apply group and field structures to reduce searches and verify correctness.
- Security understanding: examine algebraic threats, settings, and complexity balances.
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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