Abstract Algebra Course
This course bridges abstract algebra concepts like groups, rings, and fields to practical cryptographic applications, including RSA, Diffie-Hellman, and elliptic curve protocols, while emphasizing proofs, complexity, and secure implementation techniques.
from 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 aspects 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 basic RSA, Diffie-Hellman, and ECC manually.
- Algebraic algorithms: leverage group and field structures to reduce searches and verify correctness.
- Insights into security: examine 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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