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  2. 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 ...

  3. Barker code - Wikipedia

    en.wikipedia.org/wiki/Barker_code

    A Barker code or Barker sequence is a finite sequence of N values of +1 and −1, with the ideal autocorrelation property, such that the off-peak (non-cyclic) autocorrelation coefficients. are as small as possible: for all . [ 1] Only nine Barker sequences [ 6] are known, all of length N at most 13. [ 7] Barker 's 1953 paper asked for sequences ...

  4. Griesmer bound - Wikipedia

    en.wikipedia.org/wiki/Griesmer_bound

    Griesmer bound. In the mathematics of coding theory, the Griesmer bound, named after James Hugo Griesmer, is a bound on the length of linear binary codes of dimension k and minimum distance d . There is also a very similar version for non-binary codes.

  5. Error correction code - Wikipedia

    en.wikipedia.org/wiki/Error_correction_code

    Low-density parity-check (LDPC) codes are a class of highly efficient linear block codes made from many single parity check (SPC) codes. They can provide performance very close to the channel capacity (the theoretical maximum) using an iterated soft-decision decoding approach, at linear time complexity in terms of their block length.

  6. Barcode - Wikipedia

    en.wikipedia.org/wiki/Barcode

    A two-width, also called a binary bar code, contains bars and spaces of two widths, "wide" and "narrow". The precise width of the wide bars and spaces is not critical; typically, it is permitted to be anywhere between 2 and 3 times the width of the narrow equivalents.

  7. Binary Golay code - Wikipedia

    en.wikipedia.org/wiki/Binary_Golay_code

    The binary Golay code, G 23 is a perfect code. That is, the spheres of radius three around code words form a partition of the vector space. G 23 is a 12-dimensional subspace of the space F 23 2. The automorphism group of the perfect binary Golay code G 23 (meaning the subgroup of the group S 23 of permutations of the coordinates of F 23

  8. Huffman coding - Wikipedia

    en.wikipedia.org/wiki/Huffman_coding

    In computer science and information theory, a Huffman code is a particular type of optimal prefix code that is commonly used for lossless data compression.The process of finding or using such a code is Huffman coding, an algorithm developed by David A. Huffman while he was a Sc.D. student at MIT, and published in the 1952 paper "A Method for the Construction of Minimum-Redundancy Codes".

  9. Legal recognition of non-binary gender - Wikipedia

    en.wikipedia.org/wiki/Legal_recognition_of_non...

    The law comes into force in November 2024, repealing the Transsexual Law and amending the Third Gender Law to allow the legal recognition of non-intersex non-binary people as "diverse". Persons aged 14 to 18 years can change their gender on government documents in the presence of their parents.