| Lecture | Lecture Notes | Topics | |
|---|---|---|---|
| 1 | Error Detection Schemes (.pdf file) | PostNET, ISBNs, UPC, BookLand, Bank Check, Check Sum Schemes | |
| 2 | Introductory Concepts (.pdf file) | History, Bell Labs, Hamming quote, Repeat Code, Block codes error detecting, error correcting, single error correcting example |
|
| 3 | Basic Theory (.pdf file) | Hamming distance, settings, minimum distance, weight covering radius, packing radius, sphere packing bound, equivalent codes |
|
| 4 | Combinatorics in Space (.pdf file) | Mariner 9 Telemetry Specifications, Reed-Muller Codes | |
| 5 | Linear Codes (.pdf file) | Linear codes, equivalence of linear codes, generator matrix parity check matrix, Hamming codes, syndromes, Hamming decoding |
|
| 6 | Latin Squares (.pdf file) | Definition, Isotopy, Orthogonality, MOLS | |
| 7 | Balanced Incomplete Block Designs (.pdf file) | BIBD's, parameters, Fisher's inequality, Steiner Triple Systems, Projective Planes, Biplanes |