Scientech 2120 Error Detection and Correction - Cyclic Code is designed to provide the conceptual knowledge of code correction and detection by adding the redundant bits to actual bit pattern, which are use to represent the code word. Error detection is the ability to detect the presence of errors caused by noise or other impairments during transmission from the transmitter to the receiver. Error correction is the additional ability to reconstruct the original, error-free data.
A Cyclic Redundancy Check (CRC) is a type of function that takes as input a data stream of any length, and produces as output a value of a certain space, commonly a 32-bit integer. The term CRC denotes either the function or the function's output. A CRC can be used as a checksum to detect accidental alteration of data during transmission or storage. CRCs are popular because they are simple to implement in binary hardware, are easy to analyze mathematically, and are particularly good at detecting common errors caused by noise in transmission channels.
The selection of generator polynomial is the most important part of implementing the CRC algorithm. The polynomial must be chosen to maximize the error detecting capabilities while minimizing overall collision probabilities. The most important attribute of the polynomial is its length i.e. the number of the highest nonzero coefficient, because of its direct influence of the length of the computed checksum.
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