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  2. Reed–Muller code - Wikipedia

    en.wikipedia.org/wiki/Reed–Muller_code

    The generator matrix. The Reed–Muller RM(r, m) code of order r and length N = 2 m is the code generated by v 0 and the wedge products of up to r of the v i, 1 ≤ i ≤ m (where by convention a wedge product of fewer than one vector is the identity for the

  3. Generator matrix - Wikipedia

    en.wikipedia.org/wiki/Generator_matrix

    This is a consequence of the fact that a parity check matrix of is a generator matrix of the dual code. G is a matrix, while H is a () matrix. Equivalent codes. Codes C 1 and C 2 are equivalent (denoted C 1 ~ C 2) if one code can be obtained from the other via the following two transformations: arbitrarily permute the components, and

  4. Konami Code - Wikipedia

    en.wikipedia.org/wiki/Konami_Code

    The Konami Code was first used in the release of Gradius (1986), a scrolling shooter for the NES [11] and was popularized among North American players in the NES version of Contra. The code is also known as the "Contra Code" and "30 Lives Code", since the code provided the player 30 extra lives in Contra. The code has been used to help novice ...

  5. 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 ...

  6. Barcode - Wikipedia

    en.wikipedia.org/wiki/Barcode

    Barcode. A UPC-A barcode. A barcode or bar code is a method of representing data in a visual, machine-readable form. Initially, barcodes represented data by varying the widths, spacings and sizes of parallel lines. These barcodes, now commonly referred to as linear or one-dimensional (1D), can be scanned by special optical scanners, called ...

  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 would write this in an equivalent form, cH ⊤ = 0.) The rows of a parity check matrix are the coefficients of the parity check equations.

  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. Dual code - Wikipedia

    en.wikipedia.org/wiki/Dual_code

    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 original code and vice versa. The dual of the dual code is always the original code.