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  2. Polar code (coding theory) - Wikipedia

    en.wikipedia.org/wiki/Polar_code_(coding_theory)

    Neural Polar Decoders (NPDs) [14] are an advancement in channel coding that combine neural networks (NNs) with polar codes, providing unified decoding for channels with or without memory, without requiring an explicit channel model. They use four neural networks to approximate the functions of polar decoding: the embedding (E) NN, the check ...

  3. Reed–Muller code - Wikipedia

    en.wikipedia.org/wiki/Reed–Muller_code

    The code RM(r, m) is a [,,]-code, that is, it is a linear code over a binary alphabet, has block length, message length (or dimension) k, and minimum distance. 0 1

  4. Coding theory - Wikipedia

    en.wikipedia.org/wiki/Coding_theory

    The properties of this class of codes allow many users (with different codes) to use the same radio channel at the same time. To the receiver, the signals of other users will appear to the demodulator only as a low-level noise. [citation needed] Another general class of codes are the automatic repeat-request (ARQ) codes. In these codes the ...

  5. Return-to-zero - Wikipedia

    en.wikipedia.org/wiki/Return-to-zero

    The binary signal is encoded using rectangular pulse-amplitude modulation with polar return-to-zero code. Return-to-zero (RZ or RTZ) describes a line code used in telecommunications signals in which the signal drops (returns) to zero between pulses. This takes place even if a number of consecutive 0s or 1s occur in the signal. The signal is ...

  6. Low-density parity-check code - Wikipedia

    en.wikipedia.org/wiki/Low-density_parity-check_code

    LDPC codes have no limitations of minimum distance, [34] that indirectly means that LDPC codes may be more efficient on relatively large code rates (e.g. 3/4, 5/6, 7/8) than turbo codes. However, LDPC codes are not the complete replacement: turbo codes are the best solution at the lower code rates (e.g. 1/6, 1/3, 1/2).

  7. Polar modulation - Wikipedia

    en.wikipedia.org/wiki/Polar_modulation

    Polar modulation was originally developed by Thomas Edison in his 1874 quadruplex telegraph – this allowed 4 signals to be sent along a pair of lines, 2 in each direction. Sending a signal in each direction had already been accomplished earlier, and Edison found that by combining amplitude and phase modulation (i.e., by polar modulation), he ...

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  9. Lattice-based cryptography - Wikipedia

    en.wikipedia.org/wiki/Lattice-based_cryptography

    In 1996, Miklós Ajtai introduced the first lattice-based cryptographic construction whose security could be based on the hardness of well-studied lattice problems, [3] and Cynthia Dwork showed that a certain average-case lattice problem, known as short integer solutions (SIS), is at least as hard to solve as a worst-case lattice problem. [4]