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Cyclic Codes a cyclic code is a linear block code where if c is a codeword, so are all cyclic shifts of c E.g., 1000, 110, 101,011 is a cyclic code Cyclic codes can be dealt with in the very same way as all other lbc 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 In practice, cyclic codes are often used for error detection(CRc) Used for packet networks When an error is detected by the received, it requests retransmissionCyclic Codes • A cyclic code is a linear block code where if c is a codeword, so are all cyclic shifts of c – E.g., {000,110,101,011} is a cyclic code • Cyclic codes can be dealt with in the very same way as all other LBC’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 • In practice, cyclic codes are often used for error detection (CRC) – Used for packet networks – When an error is detected by the received, it requests retransmission
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