Lectures related to Error Correction Codes: Structure and Properties

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

Explains the independence of events and sets in an algebraic context.

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.