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Viterbi decoding allows asymptotically optimal decoding efficiency with increasing constraint length of the convolutional code, but at the expense of exponentially increasing complexity. A convolutional code that is terminated is also a 'block code' in that it encodes a block of input data, but the block size of a convolutional code is ...
Informally, this means that the set of queries required to decode any given bit are uniformly distributed over the codeword. Local list decoders are another interesting subset of local decoders. List decoding is useful when a codeword is corrupted in more than δ / 2 {\displaystyle \delta /2} places, where δ {\displaystyle \delta } is the ...
Because 8b/10b encoding uses 10-bit symbols to encode 8-bit words, some of the possible 1024 (10 bit, 2 10) symbols can be excluded to grant a run-length limit of 5 consecutive equal bits and to ensure the difference between the count of zeros and ones to be no more than two. Some of the 256 possible 8-bit words can be encoded in two different ...
For instance, parity includes a single bit for any data word, so assuming ASCII words with seven bits, Hamming described this as an (8,7) code, with eight bits in total, of which seven are data. The repetition example would be (3,1), following the same logic.
In a binary alphabet made of ,, if a (,) repetition code is used, then each input bit is mapped to the code word as a string of -replicated input bits. Generally n = 2 t + 1 {\displaystyle n=2t+1} , an odd number.
In software engineering, rubber duck debugging (or rubberducking) is a method of debugging code by articulating a problem in spoken or written natural language. The name is a reference to a story in the book The Pragmatic Programmer in which a programmer would carry around a rubber duck and debug their code by forcing themselves to explain it ...
The first element of a CIRC decoder is a relatively weak inner (32,28) Reed–Solomon code, shortened from a (255,251) code with 8-bit symbols. This code can correct up to 2 byte errors per 32-byte block. More importantly, it flags as erasures any uncorrectable blocks, i.e., blocks with more than 2 byte errors.
"A Convention for Human-readable 128-bit Keys". A series of small English words is easier for humans to read, remember, and type in than decimal or other binary-to-text encoding systems. [12] Each 64-bit number is mapped to six short words, of one to four characters each, from a public 2048-word dictionary. [11]