Coset Decoding: Theory and Examples

Related lectures (24)

Page 2 of 3

Explores channel coding with a focus on convolutional codes, emphasizing error detection, correction, and decoding processes.

Introduces erasure and error channels, Hamming distance, and error correction codes.

Discusses linear codes' dimension and Hamming weight with examples and theorems.

Covers error correction codes theory and applications, emphasizing the importance of minimizing distance for reliable communication.

Covers entropy, source coding, encoding maps, decodability, prefix-free codes, and Kraft-McMillan's inequality.

Explores binary parity check codes, systematic generator matrix, and Gaussian elimination.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Explains Minimum Distance (MD) decoding on erasure channels with illustrative examples.

Explains Reed-Solomon error-correcting codes and their unique decoding property over finite fields.