Encoding Of Cyclic Codes 9dRyckk2Q2M

Web Reference: In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are error-correcting codes that have algebraic properties that are convenient for efficient error detection and correction. – E.g., {000,110,101,011} is a cyclic code. • Cyclic codes can be dealt with in the very same way as all otherLBC’s. – Generator and parity check matrix can be found. • A cyclic code can be completely described by a generator string G. – All codewords are multiples of the generator string. As a result, the syndrome caused by e(X) is not equal to zero. This implies that an (n,k) cyclic code is capable of detecting any error burst of length n-k or less.

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