In this website I consider two main classes of error-correcting codes which I refer to as "Algebraic Codes" and "Low-Density Parity-Check (LDPC) Codes". Algebraic codes are codes where the decoder, except for burst-trapping decoders, does computations on elements in a finite field to determine what message was most-likely to have been sent. LDPC codes are codes where the decoder, for most applications, computes probabilities that are conventional numbers and uses inference to correct errors. |
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