Algebraic Coding Theory
An introduction to error correcting codes. Included are: linear codes, cyclic codes, BCH codes, and convolutional codes.
Coding Theory and Cryptography: The Essentials, Hankers, et al., CRC Press, 2nd edition, 2000.
|1||Introduction to Coding Theory: information, rate, distance, error-detecting and error-correcting|
|2||Linear Codes: generating and parity-check matrices, syndrome decoding|
|3||Perfect and Related Codes: Hamming and Golay codes|
|4||Cyclic Linear Codes: polynomial encoding and decoding|
|5||BCH Codes: finite fields, minimal polynomials, two-error correcting BCH codes|
(Bayer 2015 )