Strategic Objectives
• Discover why the McEliece system has survived nearly 50 years of cryptanalysis.
• Master the fundamental mechanics of Error-Correcting Codes in a security context.
• Learn to implement Goppa codes for robust, high-speed encryption.
• Explore the frontier of Post-Quantum Cryptography and NIST standards.
The Core Challenge
Traditional RSA and ECC rely on number theory that will collapse under Shor's algorithm, leaving our global data infrastructure vulnerable.
01
The Coding Revolution
02
Foundations of Public Key Cryptography
03
The Anatomy of Linear Codes
04
The Hamming Distance
05
The Hardness of Decoding
06
Robert McEliece’s Breakthrough
07
The Power of Goppa Codes
08
Syndrome Decoding Mechanics
09
Matrix Obfuscation
10
The Niederreiter Variation
11
The Quantum Threat
12
Lattice-Based Alternatives
13
Cryptanalysis: Breaking the Code
14
The Key Size Challenge
15
Modern Variants and QC-MDPC
16
Finite Fields in Practice
17
Side-Channel Resistance
18
NIST Standardization
19
Hybrid Encryption Systems
20
Software and Hardware Implementation
21