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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.).
The Reed–Solomon code is actually a family of codes, where every code is characterised by three parameters: an alphabet size , a block length, and a message length, with <. The set of alphabet symbols is interpreted as the finite field F {\displaystyle F} of order q {\displaystyle q} , and thus, q {\displaystyle q} must be a prime power .
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 ...
The Hadamard code is a linear code, and all linear codes can be generated by a generator matrix .This is a matrix such that () = holds for all {,}, where the message is viewed as a row vector and the vector-matrix product is understood in the vector space over the finite field.
Microsoft Office 2010 (codenamed Office 14[ 6]) is a version of Microsoft Office for Microsoft Windows unveiled by Microsoft on May 15, 2009, and released to manufacturing on April 15, 2010, [ 1] with general availability on June 15, 2010. [ 7] The macOS equivalent, Microsoft Office 2011 for Mac was released on October 26, 2010.
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Microsoft Office 2013 (codenamed Office 15[ 6]) is a version of Microsoft Office, a productivity suite for Microsoft Windows. Unlike with Office 2010, no OS X equivalent was released. Microsoft Office 2013 includes extended file format support, user interface updates and support for touch among its new features and is suitable for IA-32 and x64 ...
1 Control-C has typically been used as a "break" or "interrupt" key. 2 Control-D has been used to signal "end of file" for text typed in at the terminal on Unix / Linux systems. Windows, DOS, and older minicomputers used Control-Z for this purpose. 3 Control-G is an artifact of the days when teletypes were in use.