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The code-rate is hence a real number. A low code-rate close to zero implies a strong code that uses many redundant bits to achieve a good performance, while a large code-rate close to 1 implies a weak code. The redundant bits that protect the information have to be transferred using the same communication resources that they are trying to protect.
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Then the encoding maps each bit either to the all ones or all zeros code word, so we get the 111 000 111, which will be transmitted. Let's say three errors corrupt the transmitted bits and the received sequence is 111 010 100. Decoding is usually done by a simple majority decision for each code word.
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Note that bit/s is a more widespread unit of measurement for the information rate, implying that it is synonymous with net bit rate or useful bit rate exclusive of error-correction codes. See also [ edit ]
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Linear block codes are frequently denoted as [n, k, d] codes, where d refers to the code's minimum Hamming distance between any two code words. (The [ n , k , d ] notation should not be confused with the ( n , M , d ) notation used to denote a non-linear code of length n , size M (i.e., having M code words), and minimum Hamming distance d .)
President Joe Biden is commuting the sentences of nearly 1,500 people and pardoning 39 others in "the largest single-day act of clemency in modern history," the White House announced Thursday. The ...