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  2. Generator matrix - Wikipedia

    en.wikipedia.org/wiki/Generator_matrix

    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.).

  3. Reed–Muller code - Wikipedia

    en.wikipedia.org/wiki/Reed–Muller_code

    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 ...

  4. Fullmetal Alchemist (TV series) - Wikipedia

    en.wikipedia.org/wiki/Fullmetal_Alchemist_(TV...

    Fullmetal Alchemist. (TV series) Fullmetal Alchemist ( Japanese: 鋼の錬金術師, Hepburn: Hagane no Renkinjutsushi) is a Japanese anime television series loosely adapted from the original manga series of the same name by Hiromu Arakawa. Comprising 51 episodes, it was produced by the animation studio Bones for Mainichi Broadcasting System ...

  5. Fullmetal Alchemist - Wikipedia

    en.wikipedia.org/wiki/Fullmetal_Alchemist

    Live-action film. Fullmetal Alchemist (2017) Fullmetal Alchemist: The Revenge of Scar (2022) Fullmetal Alchemist: The Last Transmutation (2022) Anime and manga portal. Fullmetal Alchemist ( Japanese: 鋼の錬金術師, Hepburn: Hagane no Renkinjutsushi, lit. "Alchemist of Steel") is a Japanese manga series written and illustrated by Hiromu ...

  6. List of fictional computers - Wikipedia

    en.wikipedia.org/wiki/List_of_fictional_computers

    Eunomia, the main supercomputer of the city in the anime series Solty Rei and one of the three core computers brought by the first colonists in the story. She controls the water and energy supply and created the R.U.C. central. (2005)

  7. Parity-check matrix - Wikipedia

    en.wikipedia.org/wiki/Parity-check_matrix

    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]

  8. Dual code - Wikipedia

    en.wikipedia.org/wiki/Dual_code

    In coding theory, the dual code of a linear code. is the linear code defined by. where. is a scalar product. In linear algebra terms, the dual code is the annihilator of C with respect to the bilinear form . The dimension of C and its dual always add up to the length n : A generator matrix for the dual code is the parity-check matrix for the ...

  9. Repeat-accumulate code - Wikipedia

    en.wikipedia.org/wiki/Repeat-accumulate_code

    Repeat-accumulate code. In computer science, repeat-accumulate codes ( RA codes) are a low complexity class of error-correcting codes. They were devised so that their ensemble weight distributions are easy to derive. RA codes were introduced by Divsalar et al. In an RA code, an information block of length is repeated times, scrambled by an ...