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The generator matrix The Reed–Muller RM (r, m) code of order r and length N = 2 m is the code generated by v0 and the wedge products of up to r of the vi, 1 ≤ i ≤ m (where by convention a wedge product of fewer than one vector is the identity for the operation).
A generator matrix for a linear -code has format , where n is the length of a codeword, k is the number of information bits (the dimension of C as a vector subspace), d is the minimum distance of the code, and q is size of the finite field, that is, the number of symbols in the alphabet (thus, q = 2 indicates a binary code, etc.).
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QR code is a type of matrix barcode that can be scanned to access information quickly.
General information Basic general information about the generators, including: creator or company, license, and price.
Current ISO 3166 country codes. The sortable table below contains the three sets of ISO 3166-1 country codes for each of its 249 countries, links to the ISO 3166-2 country subdivision codes, and the Internet country code top-level domains (ccTLD) which are based on the ISO 3166-1 alpha-2 standard with the few exceptions noted.
This property can be easily shown based on the idea of defining a generator matrix for the concatenated code in terms of the generator matrices of Cout and Cin .
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.
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