Course Content |
This course covers Error Detection, Error Correction and Decoding; communication channels, maximum likelihood decoding, hamming distance, distance of a code, Finite Fields; fields, polynomial rings, structure of finite fields, minimal polynomials. Linear Codes; vector spaces over finite fields, hamming weight, bases for linear codes, generator matrix and parity-check matrix, equivalence linear code, encoding and decoding of linear codes, syndrome decoding. Bounds in Coding Theory, Construction of Linear Codes; Propagation rules, Reed-Mullercode, Cyclic Codes; BCH codes, Reed-Solomon codes, Goppa Codes. |