Abstract Algebra Course
This course bridges abstract algebra concepts like groups, rings, and fields to practical cryptography, covering permutations, modular arithmetic, finite fields, and protocols such as RSA, Diffie-Hellman, and elliptic curve cryptography, with emphasis on proofs, complexity, and secure 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 fundamental group, ring, and field ideas to actual cryptographic algorithms. You will engage with permutation and modular structures, finite fields, and specific protocols such as RSA, Diffie–Hellman, and elliptic curves, while gaining knowledge of proofs, complexity analysis, and implementation aspects that enhance correctness 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 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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