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  2. 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

  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. Convolutional code - Wikipedia

    en.wikipedia.org/wiki/Convolutional_code

    Convolutional codes are often characterized by the base code rate and the depth (or memory) of the encoder . The base code rate is typically given as , where n is the raw input data rate and k is the data rate of output channel encoded stream. n is less than k because channel coding inserts redundancy in the input bits.

  5. Rolling code - Wikipedia

    en.wikipedia.org/wiki/Rolling_code

    Rolling code. A rolling code (or sometimes called a hopping code) is used in keyless entry systems to prevent a simple form of replay attack, where an eavesdropper records the transmission and replays it at a later time to cause the receiver to 'unlock'. Such systems are typical in garage door openers and keyless car entry systems.

  6. Pseudorandom noise - Wikipedia

    en.wikipedia.org/wiki/Pseudorandom_noise

    A pseudo-noise code (PN code) or pseudo-random-noise code (PRN code) is one that has a spectrum similar to a random sequence of bits but is deterministically generated. The most commonly used sequences in direct-sequence spread spectrum systems are maximal length sequences, Gold codes, Kasami codes, and Barker codes. See also. Barker code; Gold ...

  7. Reed–Muller code - Wikipedia

    en.wikipedia.org/wiki/Reed–Muller_code

    Reed–Muller codes are linear block codes that are locally testable, locally decodable, and list decodable. These properties make them particularly useful in the design of probabilistically checkable proofs . Traditional Reed–Muller codes are binary codes, which means that messages and codewords are binary strings.

  8. Jim Simons, billionaire hedge fund founder, dies at 86 - AOL

    www.aol.com/jim-simons-billionaire-hedge-fund...

    Jim Simons, the billionaire investor, mathematician and philanthropist, died on Friday in New York City, according to his foundation, the Simons Foundation. Simons was 86 years old.

  9. Radar beacon - Wikipedia

    en.wikipedia.org/wiki/Radar_beacon

    Radar beacon. Racon signal as seen on a radar screen. This beacon receives using sidelobe suppression and transmits the letter "Q" in Morse code near Boston Harbor (Nahant) 17 January 1985. Radar beacon (short: racon) is – according to article 1.103 of the International Telecommunication Union's (ITU) ITU Radio Regulations (RR) [1 ...

  10. Digital pattern generator - Wikipedia

    en.wikipedia.org/wiki/Digital_pattern_generator

    Digital pattern generator. A digital pattern generator is a piece of electronic test equipment or software used to generate digital electronic stimuli. Digital electronics stimuli are a specific kind of electrical waveform varying between two conventional voltages that correspond to two logic states ("low state" and "high state", "0" and "1").

  11. Linear code - Wikipedia

    en.wikipedia.org/wiki/Linear_code

    A linear code of length n and dimension k is a linear subspace C with dimension k of the vector space where is the finite field with q elements. Such a code is called a q -ary code. If q = 2 or q = 3, the code is described as a binary code, or a ternary code respectively. The vectors in C are called codewords.