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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. Hadamard code - Wikipedia

    en.wikipedia.org/wiki/Hadamard_code

    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.

  4. 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 consisting of ...

  5. Hamming (7,4) - Wikipedia

    en.wikipedia.org/wiki/Hamming(7,4)

    Hamming (7,4) In coding theory, Hamming (7,4) is a linear error-correcting code that encodes four bits of data into seven bits by adding three parity bits. It is a member of a larger family of Hamming codes, but the term Hamming code often refers to this specific code that Richard W. Hamming introduced in 1950.

  6. Binary Golay code - Wikipedia

    en.wikipedia.org/wiki/Binary_Golay_code

    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.

  7. Fortnite - Wikipedia

    en.wikipedia.org/wiki/Fortnite

    Fortnite is an online video game and game platform developed by Epic Games and released in 2017. It is available in six distinct game mode versions that otherwise share the same general gameplay and game engine: Fortnite Battle Royale, a free-to-play battle royale game in which up to 100 players fight to be the last person standing; Fortnite: Save the World, a cooperative hybrid tower defense ...

  8. Linear code - Wikipedia

    en.wikipedia.org/wiki/Linear_code

    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 ...

  9. PS4 error codes and how to fix them - AOL

    www.aol.com/news/ps4-error-codes-fix-them...

    Plug the USB drive into your PS4 and start the console in Safe Mode by holding the power button and releasing it after the second beep. Select Safe Mode option 3: ‘Update System Software ...