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Majority logic decoding
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Majority logic decoding : ウィキペディア英語版
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.
==Theory==
In a binary alphabet made of 0,1, if a (n,1) repetition code is used, then each input bit is mapped to the code word as a string of n-replicated input bits. Generally n=2t + 1, an odd number.
The repetition codes can detect up to () transmission errors. Decoding errors occur when the more than these transmission errors occur. Thus, assuming bit-transmission errors are independent, the probability of error for a repetition code is given by P_e = \sum_}^
\epsilon^ (1-\epsilon)^, where \epsilon is the error over the transmission channel.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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