Each packet consisted of a 32-bit header and a 16-bit header parity check word, followed by up to 80 bytes of data and a 16-bit parity check word for the data.
22.
In the case of G . hn, it was deemed prohibitively expensive to implement both HomePlug's turbo coding forward error correction and G . hn's low density parity check ( LDPC ).
23.
A systematic group code C is a code over G ^ n of order \ left | G \ right | ^ k defined by n-k homomorphisms which determine the parity check bits.
24.
In the Hagelbarger code, inserted parity check bits are spread out in time so that an error burst is not likely to affect more than one of the groups in which parity is checked.
25.
Finally, NPML and its various forms also represent the core read-channel and detection technology used in recording systems employing advanced error-correcting codes that lend themselves to soft decoding, such as low-density parity check ( LDPC ) codes.
26.
Prior to precoding, forward error correction ( FEC ) coding is performed using a [ 2048, 1723 ] 2 low-density parity-check code on 1723 bits, with the parity check matrix construction based on a generalized GF ( 2 6 ).
27.
This pre-code may itself be a concatenation of multiple codes, for example in the code standardized by 3GPP a high density parity check code derived from the binary Gray sequence is concatenated with a simple regular low density parity check code.
28.
This pre-code may itself be a concatenation of multiple codes, for example in the code standardized by 3GPP a high density parity check code derived from the binary Gray sequence is concatenated with a simple regular low density parity check code.
29.
A test is made by inverting the state of some or all of these bits ( a 0 changed to a 1 or vice versa ) and if the parity check now succeeds the changes are made permanent and the reply accepted.
30.
There are other forward error correction codes that can be used in an HARQ scheme besides Turbo codes, e . g . extended irregular repeat-accumulate ( eIRA ) code and Efficiently-Encodable Rate-Compatible ( E2RC ) code, both of which are Low Density Parity Check Code.
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