Outline

1. Galois Field Arithmetic
   • Polynomials over Galois fields
   • Construction of Galois field GF
2. Nonbinary BCH Codes and Reed-Solomon Codes
3. Systematic Form Encoding
4. Decoding Reed Solomon Codes
   • Berlekamp's iterative algorithm for finding the error-locator polynomial
   • The Forney algorithm for computing the error magnitudes
   • Erasure decoding