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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 ...
List of Generation Z slang. The following is a list of slang that is used or popularized by Generation Z (Gen Z), generally those born between the late 1990s and early 2010s in the Western world. Generation Z slang differs from slang of prior generations. [ 1][ 2] Ease of communication with the Internet facilitated the rapid proliferation of ...
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 Animatrix episodes, open ...
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 ...
It includes anime that are adaptations of video games or whose characters originated in video games. Many anime (Japanese animated productions usually featuring hand-drawn or computer animation) are based on Japanese video games, particularly visual novels and JRPGs. For example, the Pokémon TV series debuted in 1997 and is based on the ...
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 ...
Formally, a parity check matrix H of a linear code C is a generator matrix of the dual code, C ⊥. This means that a codeword c is in C if and only if the matrix-vector product Hc ⊤ = 0 (some authors [1] would write this in an equivalent form, cH ⊤ = 0.) The rows of a parity check matrix are the coefficients of the parity check equations. [2]