The recursive inner code provides the'interleaver gain'for the SCCC, which is the source of the excellent performance of these codes.
12.
Thanks to the deinterleaving, an erased 28-byte block from the inner code becomes a single erased byte in each of 28 outer code blocks.
13.
In " Personal Injuries, " he has made his anti-hero a likable PI lawyer with an inner code as mutable as a chameleon at twilight.
14.
A 1 / 4 rate PCCC ( Parallel Concatenated Convolutional Code ) is also employed as an inner code for the M / H signaling channel, which includes FIC ( Fast Information Channel ) and TPC ( Transmission Parameter Channel ).
15.
For the inner code C _ \ text { in } we find a linear code by exhaustively searching from the linear code of block length n and dimension k, whose rate meets the capacity of BSC _ p, by Theorem 1.
16.
Look back to the definition of the outer code and linear inner codes, this definition of the Justesen code makes sense because the codeword of the outer code is a vector with N elements, and we have N linear inner codes to apply for those N elements.
17.
Look back to the definition of the outer code and linear inner codes, this definition of the Justesen code makes sense because the codeword of the outer code is a vector with N elements, and we have N linear inner codes to apply for those N elements.
18.
In fact, to show the existence of this set of linear codes, we will specify this ensemble explicitly as follows : for \ alpha \ in \ mathbb { F } _ { q ^ k }-\ { 0 \ }, define the inner code
19.
The main idea is that if the inner block length is selected to be logarithmic in the size of the outer code then the decoding algorithm for the inner code may run in exponential time of the inner block length, and we can thus use an exponential-time but optimal maximum likelihood decoder ( MLD ) for the inner code.
20.
The main idea is that if the inner block length is selected to be logarithmic in the size of the outer code then the decoding algorithm for the inner code may run in exponential time of the inner block length, and we can thus use an exponential-time but optimal maximum likelihood decoder ( MLD ) for the inner code.
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