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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 ...
Multiservice tactical brevity code. March 2023 edition cover page of the Multi-Service Brevity Codes. Multiservice tactical brevity codes are codes used by various military forces. The codes' procedure words, a type of voice procedure, are designed to convey complex information with a few words.
The Engine, a kind of mechanical information generator featured in Jonathan Swift's Gulliver's Travels. This is considered to be the first description of a fictional device that in any way resembles a computer. [1] (1726) The Machine from E. M. Forster's short story "The Machine Stops" (1909)
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.).
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]
The distance of the concatenated code Cout ∘ Cin is at least dD, that is, it is a [ nN, kK, D '] code with D ' ≥ dD . Proof: Consider two different messages m1 ≠ m2 ∈ BK. Let Δ denote the distance between two codewords. Then. Thus, there are at least D positions in which the sequence of N symbols of the codewords Cout ( m1) and Cout ...
SNK vs. Capcom: Card Fighters 2 Expand Edition: SNK vs. Capcom: SVC Chaos: SNK vs. Capcom: Card Fighters DS: Sonic & Sega All-Stars Racing: Banjo and Kazooie and Xbox 360 Avatars in the Xbox 360 version, and Miis in the Wii version Sonic & All-Stars Racing Transformed: Playable racers: Danica Patrick; Wreck-It Ralph
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 ...