User:Coustyx/Books/Coding Theory

Coding Theory

 * Introduction
 * Coding theory
 * Error detection and correction


 * Linear Algebra Background
 * Vector space
 * Linear independence
 * Row and column spaces
 * Kernel (linear algebra)
 * Basis (linear algebra)
 * Dimension (vector space)
 * Rank–nullity theorem


 * Linear Codes
 * Linear code
 * Block code
 * Sphere packing
 * Generator matrix
 * Parity-check matrix
 * Hamming code
 * Reed–Solomon error correction
 * Hadamard code
 * Expander code
 * Golay code
 * Reed–Muller code


 * Bounds on Linear Codes
 * Hamming bound
 * Singleton bound
 * Plotkin bound
 * Gilbert–Varshamov bound
 * Johnson bound
 * Elias Bassalygo bound