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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.).
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 ...
Later, at the Providence HQ, Six and Holiday promise to treat Rex better and help him uncover his past, and Noah is revealed to be secretly working for Providence's leader, White Knight, to spy on Rex. 2. 2. "String Theory". Rick Morales. Man of Action. April 30, 2010. ( 2010-04-30) 693–002.
Matrix digital rain. Matrix digital rain, or Matrix code, is the computer code featured in the “Ghost in the shell” and the Matrix series. The falling green code is a way of representing the activity of the simulated reality environment of the Matrix on screen by kinetic typography. All four Matrix movies, as well as the spin-off The ...
The story takes place during the six-month gap between The Matrix and The Matrix Reloaded, where Neo has joined the crew of the Nebuchadnezzar and is helping the rebels free other humans from the Matrix. Kid (Clayton Watson), who was formerly known as Michael Karl Popper, is a disaffected teenager who feels there is something wrong with the ...
The Merovingian (also known as the Frenchman) is a character in The Matrix Reloaded, The Matrix Revolutions and The Matrix Resurrections. He is portrayed by French actor Lambert Wilson in all three films and voiced by Robin Atkin Downes in The Matrix: Path of Neo. He also played a prominent role in The Matrix Online role-playing game. According ...
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.
Mathematical definition. In mathematical terms, the extended binary Golay code G24 consists of a 12-dimensional linear subspace W of the space V = F24. 2 of 24-bit words such that any two distinct elements of W differ in at least 8 coordinates. W is called a linear code because it is a vector space. In all, W comprises 4096 = 212 elements.