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 cryptography, while emphasizing proofs, complexity, and secure implementation techniques.
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 handle 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 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: apply group and field structures to reduce searches and verify correctness.
- Insights into security: examine algebraic vulnerabilities, parameters, and complexity balances.
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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