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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.).
Welcome to Bloxburg is a life-simulation and role-playing game created in 2014. [108] The game is based on The Sims, and is noted for being a Roblox game in which players had to purchase 25 Robux before playing. [109] It was acquired by Embracer Group in 2023 under Coffee Stain Gothenburg, [a] a subsidiary of Coffee Stain created for Bloxburg.
Bill Gates, Neil Konzen. Was written by Microsoft co-founder Bill Gates and Neil Konzen in 1981 and was included with early versions of the PC DOS operating system for the original IBM PC. Similar early BASIC games which were distributed as source code are GORILLA.BAS and NIBBLES.BAS. Doom Classic. 2009.
Type. Game creation system, massively multiplayer online game. License. Proprietary software. Roblox (/ ˈroʊblɒks / ROH-bloks) is an online game platform and game creation system developed by Roblox Corporation that allows users to program and play games created by themselves or other users.
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.
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 consisting of ...
Singleton bound. In coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude upper bound on the size of an arbitrary block code with block length , size and minimum distance . It is also known as the Joshibound. [1] proved by Joshi (1958) and even earlier by Komamiya (1953).
Hamming (7,4) In coding theory, Hamming (7,4) is a linear error-correcting code that encodes four bits of data into seven bits by adding three parity bits. It is a member of a larger family of Hamming codes, but the term Hamming code often refers to this specific code that Richard W. Hamming introduced in 1950.