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Parity-check matrix. In coding theory, a parity-check matrix of a linear block code C is a matrix which describes the linear relations that the components of a codeword must satisfy. It can be used to decide whether a particular vector is a codeword and is also used in decoding algorithms.
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.
Danny O'Brien (on right) in 2014 at Wikimania. O'Brien wrote weekly columns for The Sunday Times and The Irish Times; and before that for The Guardian, and acted as a consultant in helping The Guardian formulate its online strategy. He worked for the UK edition of Wired, as well as for Channel 4 and the British ISP Virgin.net.
Classified information in the United States. The United States government classification system is established under Executive Order 13526, the latest in a long series of executive orders on the topic of classified information beginning in 1951. [1] Issued by President Barack Obama in 2009, Executive Order 13526 replaced earlier executive ...
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Code word (figure of speech), designed to convey a predetermined meaning to a receptive audience, while remaining inconspicuous to others. Procedure word, in voice communication. Code word, an element of a codebook designed so that the meaning of the code word is opaque without the code book. Code name, a clandestine name or cryptonym used to ...
Linear code. In coding theory, a linear code is an error-correcting code for which any linear combination of codewords is also a codeword. Linear codes are traditionally partitioned into block codes and convolutional codes, although turbo codes can be seen as a hybrid of these two types. [1] Linear codes allow for more efficient encoding and ...
Traditional Reed–Muller codes are binary codes, which means that messages and codewords are binary strings. When r and m are integers with 0 ≤ r ≤ m, the Reed–Muller code with parameters r and m is denoted as RM ( r , m ). When asked to encode a message consisting of k bits, where holds, the RM ( r , m) code produces a codeword ...