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Repetition decoding is usually done using Majority logic detection.
Muller discovered the codes, and Reed proposed the majority logic decoding for the first time.
The basic idea of majority logic decoding is to build several checksums for each received code word element.
RM(r, m) codes can be decoded using majority logic decoding.
Coding and decoding; use of majority logic and of Hadamard matrices.
Many systems have triple modular redundancy; they use the majority function for majority logic decoding to implement error correction.
A Majority Logic Gate is used to decide which of the circuits' outputs is the correct output.
One clue if the decoding succeeded, is to have an all-zero modified received word, at the end of (r + 1)-stage decoding through the majority logic decoding.
In error detection and correction, majority logic decoding is a method to decode repetition codes, based on the assumption that the largest number of occurrences of a symbol was the transmitted symbol.
In this way engineers have created a host of "combinatorial logic" (i.e. connectives without feedback) such as "decoders", "encoders", "mutifunction gates", "majority logic", "binary adders", "arithmetic logic units", etc.