Description
- Principles of Coding for Error Detection and Error Correction Channel models, residual errors, code space and limits
- Finite Field Algebra Residual class algebra, group, ring, finite field axioms Modular polynomials Primitive polynomials, calculus mod M and mod M(u), cyclic properties of residual power polynomials, Galois fields GF(2) and GF(2r), minimal polynomials
- Channel Coding Schemes Group codes Linear systematic codes Definition and properties Cyclic codes Hamming code, Abramson code, Fire code, BCH code, and RS code
- Convolutional Codes, Sequential Coding ad Decoding (Viterbi, ML)
- Coding and Decoding Circuits Combinatorial coding circuits, linear feedback shift register circuits, single and burst error correction