Agent Skill implementing Systematic Reed-Solomon Error-Correcting Code over Galois Field
flowchart TD
Msg["Raw Data Message M(x)"] --> Gen["Generator Poly g(x) = Prod (x - alpha^i)"]
Msg & Gen --> Shift["Multiply by x^(2t) & Modular Reduction"]
Shift --> Parity["Systematic Parity Symbols P(x)"]
Parity --> Code["Codeword C(x) = [M(x) | P(x)]"]
Code --> Syn["Syndrome Evaluation S_i = C(alpha^i)"]
Syn --> Status["Verify Zero Syndromes (Clean Data)"]