Groups, Rings, Fields
Construction of higher level Galois Fields, Factoring
Linear and Cyclic Codes
Non binary BCH, Reed Solomon (RS) Codes and Decoding with Berlekamp Massey (BM) Algorithm
Convolutional codes – Viterbi and Sequential decoding
Introduction to Coded Modulation, Trellis Coded Modulation (TCM)
Turbo Codes: BCJR Algorithm, Extrinsic Information, EXIT Chart
Soft-input Soft-output (SISO) Decoding, Serial and Parallel concatenated codes, Application in 3G and 4G systems
LDPC Codes: Low density parity check matrices, encoding, Decoding in a graph, QC-LDPC, Application in WiFi and enhanced mobile broadband (eMBB) in 5G
Polar Codes: Successive Cancellation decoding, List decoding, Short frame codes, Control channel in 5G
Applications and Developments: Satisfying latency and reliability in 5G through coding,