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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 ...
Euclid, powerful personal computer used for mathematical testing by the main character in Pi (1998) The Matrix, virtual reality simulator for pacification of humans from The Matrix series (1999) PAT (Personal Applied Technology), a female, motherly computer program that controls all the functions of a house in Disney's movie Smart House (1999)
Jack Ryan, in The Hunt for Red October and Patriot Games by Tom Clancy; James Adams from the Robert Muchamore's CHERUB series; James Bond in Ian Fleming's books, which also include CIA agent Felix Leiter. See List of James Bond allies for a complete list of 00-agents and secret agents found throughout Fleming's books
Bane. Bane (played by Ian Bliss) is a crew member of the Zion hovercraft Caduceus in the films The Matrix Reloaded and The Matrix Revolutions. His consciousness is overwritten by Smith in the Matrix, allowing Smith to take control of Bane in the real world. He attempts to assassinate Neo, but is foiled by the Kid.
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 ...
Voiced by: Daryl Sabara. Rex Salazar is a teenage (sixteen in Season 1) half-Argentinean, half-Mexican E.V.O born to a family of scientists. Unlike other E.V.O.s, Rex can control his nanites at will, allowing him to appear human and cure other E.V.O.s of their mutations. He can also use his nanites to create various machines on his body and ...
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.