The two capital categories of FEC codes are block codes and convolutional codes.
Block codes plan on fixed-size blocks (packets) of $.25 or symbols of agreed size. Practical block codes can about be decoded in polynomial time to their block length.
Convolutional codes plan on bit or attribute streams of approximate length. They are a lot of generally decoded with the Viterbi algorithm, admitting added algorithms are sometimes used. Viterbi adaptation allows asymptotically optimal adaptation ability with accretion coercion breadth of the convolutional code, but at the amount of exponentially accretion complexity. A convolutional cipher can be angry into a block code, if desired, by "tail-biting".
There are abounding types of block codes, but a part of the classical ones the a lot of notable is Reed-Solomon coding because of its boundless use on the Compact disc, the DVD, and in harder deejay drives. Added examples of classical block codes cover Golay, BCH, Multidimensional parity, and Hamming codes.
Hamming ECC is frequently acclimated to actual NAND beam anamnesis errorscitation needed. This provides single-bit absurdity alteration and 2-bit absurdity detection. Hamming codes are alone acceptable for added reliable individual akin corpuscle (SLC) NAND. Denser multi akin corpuscle (MLC) NAND requires stronger multi-bit acclimation ECC such as BCH or Reed–Solomondubious – discuss.
Classical block codes are usually implemented application hard-decision algorithms,2 which agency that for every ascribe and achievement arresting a harder accommodation is fabricated whether it corresponds to a one or a aught bit. In contrast, soft-decision algorithms like the Viterbi decoder action (discretized) analog signals, which allows for abundant college error-correction achievement than hard-decision decoding.
Nearly all classical block codes administer the algebraic backdrop of bound fields.
On high layers, FEC band-aid for adaptable advertisement standards are Raptor cipher or RaptorQ.
Block codes plan on fixed-size blocks (packets) of $.25 or symbols of agreed size. Practical block codes can about be decoded in polynomial time to their block length.
Convolutional codes plan on bit or attribute streams of approximate length. They are a lot of generally decoded with the Viterbi algorithm, admitting added algorithms are sometimes used. Viterbi adaptation allows asymptotically optimal adaptation ability with accretion coercion breadth of the convolutional code, but at the amount of exponentially accretion complexity. A convolutional cipher can be angry into a block code, if desired, by "tail-biting".
There are abounding types of block codes, but a part of the classical ones the a lot of notable is Reed-Solomon coding because of its boundless use on the Compact disc, the DVD, and in harder deejay drives. Added examples of classical block codes cover Golay, BCH, Multidimensional parity, and Hamming codes.
Hamming ECC is frequently acclimated to actual NAND beam anamnesis errorscitation needed. This provides single-bit absurdity alteration and 2-bit absurdity detection. Hamming codes are alone acceptable for added reliable individual akin corpuscle (SLC) NAND. Denser multi akin corpuscle (MLC) NAND requires stronger multi-bit acclimation ECC such as BCH or Reed–Solomondubious – discuss.
Classical block codes are usually implemented application hard-decision algorithms,2 which agency that for every ascribe and achievement arresting a harder accommodation is fabricated whether it corresponds to a one or a aught bit. In contrast, soft-decision algorithms like the Viterbi decoder action (discretized) analog signals, which allows for abundant college error-correction achievement than hard-decision decoding.
Nearly all classical block codes administer the algebraic backdrop of bound fields.
On high layers, FEC band-aid for adaptable advertisement standards are Raptor cipher or RaptorQ.
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