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GENERALIZED MINIMUM-DISTANCE-DECODING

  • Generalized minimum-distance decoding
  • In coding theory, generalized minimum-distance (GMD) decoding provides an efficient algorithm for decoding concatenated codes, which is based on using

    Generalized minimum-distance decoding

    Generalized_minimum-distance_decoding

  • Decoding methods
  • Algorithms to decode messages

    Minimum distance decoding is also known as nearest neighbour decoding. It can be assisted or automated by using a standard array. Minimum distance decoding

    Decoding methods

    Decoding_methods

  • Concatenated error correction code
  • well. The decoding algorithm described above can be used to correct all errors up to less than dD/4 in number. Using minimum distance decoding, the outer

    Concatenated error correction code

    Concatenated_error_correction_code

  • Kullback–Leibler divergence
  • Mathematical statistics distance measure

    linear distance, satisfying the triangle inequality, divergences are asymmetric and generalize squared distance, in some cases satisfying a generalized Pythagorean

    Kullback–Leibler divergence

    Kullback–Leibler_divergence

  • Reed–Solomon error correction
  • Error-correcting codes

    These results do not provide an algorithm for performing the decoding. The algebraic decoding methods described above are hard-decision methods, which means

    Reed–Solomon error correction

    Reed–Solomon_error_correction

  • Polar code (coding theory)
  • Type of error correcting code

    modest encoding and decoding complexity O(n log n), which renders them attractive for many applications. Moreover, the encoding and decoding energy complexity

    Polar code (coding theory)

    Polar_code_(coding_theory)

  • Reed–Muller code
  • Error-correcting codes used in wireless communication

    2^{m-r}\}=2^{m-r}.} RM(r, m) codes can be decoded using majority logic decoding. The basic idea of majority logic decoding is to build several checksums for each

    Reed–Muller code

    Reed–Muller_code

  • Error detection and correction
  • Reliable digital data delivery methods on unreliable channels

    particularly suitable for implementation in hardware, and the Viterbi decoder allows optimal decoding. Block codes are processed on a block-by-block basis. Early

    Error detection and correction

    Error detection and correction

    Error_detection_and_correction

  • Hamming bound
  • Limit on the parameters of a block code

    made during transmission of a codeword then minimum distance decoding will decode it correctly (i.e., it decodes the received word as the codeword that was

    Hamming bound

    Hamming_bound

  • Hamming code
  • Family of linear error-correcting codes

    achieve the highest possible rate for codes with their block length and minimum distance of three. Richard W. Hamming invented Hamming codes in 1950 as a way

    Hamming code

    Hamming code

    Hamming_code

  • BCH code
  • Error correction code

    with which they can be decoded, namely, via an algebraic method known as syndrome decoding. This simplifies the design of the decoder for these codes, using

    BCH code

    BCH_code

  • Graphical model
  • Probabilistic model

    inference, information extraction, speech recognition, computer vision, decoding of low-density parity-check codes, modeling of gene regulatory networks

    Graphical model

    Graphical_model

  • Maximum a posteriori estimation
  • Method of estimating the parameters of a statistical model

    Maximum likelihood Method of moments M-estimator Minimum distance Unbiased estimators Mean-unbiased minimum-variance Rao–Blackwellization Lehmann–Scheffé

    Maximum a posteriori estimation

    Maximum_a_posteriori_estimation

  • Sparse distributed memory
  • Mathematical model of memory

    word (e.g. N= 2100 100-bit words), and let the address decoding be done by N address decoder neurons. Set the threshold of each neuron x to its maximum

    Sparse distributed memory

    Sparse_distributed_memory

  • Glossary of video terms
  • lighting level). See also, the Generalized Use Class Aspects topic for more information. Usage Timeframe A generalized use class aspect that specifies

    Glossary of video terms

    Glossary_of_video_terms

  • Continuous uniform distribution
  • Uniform distribution on an interval

    1016/j.ijpe.2008.04.004 – via Research Gate. Bellhouse, David (May 2005). "Decoding Cardano's Liber de Ludo". Historia Mathematica. 32: 180–202. doi:10.1016/j

    Continuous uniform distribution

    Continuous uniform distribution

    Continuous_uniform_distribution

  • Statistics
  • Study of collection and analysis of data

    encrypted messages, providing an early example of statistical inference for decoding. Ibn Adlan (1187–1268) later made an important contribution on the use

    Statistics

    Statistics

    Statistics

  • Fibonacci coding
  • Universal code which encodes positive integers into binary code words

    symbols, in which some patterns (like "11") are forbidden, can be freely generalized. The following table shows that the number 65 is represented in Fibonacci

    Fibonacci coding

    Fibonacci_coding

  • Distributed source coding
  • Problem in information theory and communication

    linear codes, they have translated the major steps of DSC joint decoding into syndrome decoding followed by channel encoding via a linear block code and also

    Distributed source coding

    Distributed_source_coding

  • List of algorithms
  • Peterson–Gorenstein–Zierler algorithm Reed–Solomon error correction BCJR algorithm: decoding of error correcting codes defined on trellises (principally convolutional

    List of algorithms

    List_of_algorithms

  • Digital Visual Interface
  • Standard for transmitting digital video to a display

    of DVI stream encoding is to provide a DC-balanced output that reduces decoding errors. This goal is achieved by using 10-bit symbols for 8-bit or less

    Digital Visual Interface

    Digital Visual Interface

    Digital_Visual_Interface

  • Quantum error correction
  • Process in quantum computing

    after Peter Shor, can be generalized as a [ [ d 2 , 1 , d ] ] {\displaystyle [[d^{2},1,d]]} code, which increases the code distance at the expense of a reduced

    Quantum error correction

    Quantum_error_correction

  • Habitable zone
  • Orbits where planets may have liquid surface water

    Zsom, Andras; Seager, Sara; De Wit, Julien (2013). "Towards the Minimum Inner Edge Distance of the Habitable Zone". The Astrophysical Journal. 778 (2): 109

    Habitable zone

    Habitable zone

    Habitable_zone

  • Kolmogorov complexity
  • Measure of algorithmic complexity

    1007/978-0-387-49820-1_1. ISBN 978-0-387-33998-6. Burgin, M. (1982). "Generalized Kolmogorov complexity and duality in theory of computations". Notices

    Kolmogorov complexity

    Kolmogorov complexity

    Kolmogorov_complexity

  • Lean manufacturing
  • Methodology used to improve production

    Enterprise Institute, 2003 Spear, Steven; Bowen, H. Kent (September 1999). "Decoding the DNA of the Toyota Production System". Harvard Business Review. Archived

    Lean manufacturing

    Lean manufacturing

    Lean_manufacturing

  • Gray code
  • Ordering of binary values, used for positioning and error correction

    Interscience Publishers. pp. 18–23. Retrieved 2020-05-24. p. 20–23: […] Decoding. […] To decode C.P.B. or W.R.D. codes, a simple inversion rule can be applied

    Gray code

    Gray_code

  • Image segmentation
  • Partitioning a digital image into segments

    positive and negative propagation speeds) in an approach called the generalized fast marching method. The goal of variational methods is to find a segmentation

    Image segmentation

    Image segmentation

    Image_segmentation

  • Backpropagation
  • Optimization algorithm for artificial neural networks

    Suppl 2): 519–554. doi:10.1111/cogs.12519. PMC 6001481. PMID 28744901. "Decoding the Power of Backpropagation: A Deep Dive into Advanced Neural Network

    Backpropagation

    Backpropagation

  • Joshua Meyrowitz
  • American academic (born 1949)

    we live. Additionally, media expand our concept of a "generalized elsewhere." This generalized elsewhere allows us to construct a broader understanding

    Joshua Meyrowitz

    Joshua_Meyrowitz

  • Biological neuron model
  • Mathematical descriptions of the properties of certain cells in the nervous system

    called Generalized Linear Model). The estimation of parameters of probabilistic neuron models such as the SRM using methods developed for Generalized Linear

    Biological neuron model

    Biological neuron model

    Biological_neuron_model

  • Gröbner basis
  • Mathematical construct in computer algebra

    S2CID 2515114. Bulygin, S.; Pellikaan, R. (2009). "Decoding linear error-correcting codes up to half the minimum distance with Gröbner bases". Gröbner Bases, Coding

    Gröbner basis

    Gröbner_basis

  • Neural oscillation
  • Brainwaves, repetitive patterns of neural activity in the central nervous system

    providing a mechanism for decoding temporal codes. Single-cell intrinsic oscillators serve as valuable tools for decoding temporally-encoded sensory

    Neural oscillation

    Neural oscillation

    Neural_oscillation

  • Cooperative MIMO
  • permit decoding. Cooperative subspace coding faces high decoding computational complexity. However, in cooperative MIMO radio, MIMO decoding already

    Cooperative MIMO

    Cooperative_MIMO

  • List of numerical analysis topics
  • interpolation) — interpolation between two points on a sphere Generalized quaternion interpolation — generalizes slerp for interpolation between more than two quaternions

    List of numerical analysis topics

    List_of_numerical_analysis_topics

  • Biogeochemical cycle
  • Chemical transfer pathway between Earth's biological and non-biological parts

    PMC 4895100. PMID 27190214. Abreu, Nicole A.; Taga, Michiko E. (2016). "Decoding molecular interactions in microbial communities". FEMS Microbiology Reviews

    Biogeochemical cycle

    Biogeochemical cycle

    Biogeochemical_cycle

  • Self-supervised learning
  • Machine learning paradigm

    positive examples. Counterintuitively, NCSSL converges on a useful local minimum rather than reaching a trivial solution, with zero loss. For the example

    Self-supervised learning

    Self-supervised_learning

  • Machine learning in bioinformatics
  • Software for understanding biological data

    Delhi, India, developed RiPPMiner software, a bioinformatics resource for decoding RiPP chemical structures by genome mining. The RiPPMiner web server consists

    Machine learning in bioinformatics

    Machine_learning_in_bioinformatics

  • Orders of magnitude (numbers)
  • 8 May 2021[update]. Mathematics: 25241902097152 + 1 is an 13,426,224-digit generalized Fermat prime, and the largest known non-Mersenne prime as of October 2025[update]

    Orders of magnitude (numbers)

    Orders_of_magnitude_(numbers)

  • Global Positioning System
  • American satellite-based radio navigation service

    satellite position at this time. For more information see Demodulation and Decoding, Advanced. The receiver uses messages received from satellites to determine

    Global Positioning System

    Global Positioning System

    Global_Positioning_System

  • Types of artificial neural networks
  • Classification of Artificial Neural Networks (ANNs)

    computes the optimal regularization Lambda parameter that minimizes the generalized cross-validation (GCV) error. A GRNN is an associative memory neural

    Types of artificial neural networks

    Types_of_artificial_neural_networks

  • Arkady and Boris Strugatsky
  • Russian brothers, writer duo

    zeal and not without belligerence. Yvonne Howell, in her dissertation, generalized that female characters in the Strugatskys' works occupy a secondary position—Diana

    Arkady and Boris Strugatsky

    Arkady_and_Boris_Strugatsky

  • Computer security
  • Protection of computer systems from information disclosure, theft or damage

    to further restrict the access of an application to system resources. Generalized security frameworks such as SELinux or AppArmor help administrators control

    Computer security

    Computer security

    Computer_security

  • Glossary of computer science
  • Turing degrees. The field has since expanded to include the study of generalized computability and definability. In these areas, recursion theory overlaps

    Glossary of computer science

    Glossary_of_computer_science

  • List of Italian inventions and discoveries
  • poly-articulated and sensitive hand was made in Italy, with a real-time decoding of the electrical signals sent from the brain to the muscles. Romano-Ward

    List of Italian inventions and discoveries

    List of Italian inventions and discoveries

    List_of_Italian_inventions_and_discoveries

  • 2025 in paleomammalogy
  • PMC 12246208. PMID 40640546. Alperson-Afil, N.; Rabinovich, R. (2025). "Decoding Natufian mortuary practices through the taphonomy of an experimental burial"

    2025 in paleomammalogy

    2025_in_paleomammalogy

  • Antibiotic
  • Antimicrobial substance active against bacteria

    2018. Retrieved 28 March 2018. Singh G, Rana A, Smriti (28 May 2024). "Decoding antimicrobial resistance: unraveling molecular mechanisms and targeted

    Antibiotic

    Antibiotic

    Antibiotic

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Online names & meanings

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  • Boy/Male

    Indian

    Azima

    Good in All Thing

  • Cystennin
  • Boy/Male

    Welsh

    Cystennin

    Constant.

  • Mivara
  • Girl/Female

    Hindu, Indian

    Mivara

    Capital of Videha

  • Renaldo
  • Boy/Male

    American, Australian, British, English, French, German, Italian, Spanish

    Renaldo

    Ruler with Counsel; Counselor-ruler

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  • Girl/Female

    Arabic, Muslim

    Masrurah

    Glad; Happy; Delighted

  • Akhtar
  • Boy/Male

    Muslim

    Akhtar

    Star. Good luck.

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  • Boy/Male

    Biblical

    Lotan

    Wrapped up, hidden, covered, myrrh, rosin.

  • Jessamyn
  • Girl/Female

    Arabic, Christian, Farsi, French

    Jessamyn

    A Flower Name from the Older Form Jessamine; Jasmine Flower

  • Boulton
  • Surname or Lastname

    English

    Boulton

    English : variant spelling of Bolton.

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    Arabic

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GENERALIZED MINIMUM-DISTANCE-DECODING

  • Distant
  • a.

    Indistinct; faint; obscure, as from distance.

  • Generalized
  • imp. & p. p.

    of Generalize

  • Distance
  • v. t.

    To cause to appear as if at a distance; to make seem remote.

  • Minimi
  • pl.

    of Minimus

  • Distant
  • a.

    Separated; having an intervening space; at a distance; away.

  • Minima
  • pl.

    of Minimum

  • Distance
  • n.

    The interval between two notes; as, the distance of a fourth or seventh.

  • Thermetograph
  • n.

    A self-registering thermometer, especially one that registers the maximum and minimum during long periods.

  • Minum
  • n.

    A minim.

  • Distance
  • v. t.

    To outstrip by as much as a distance (see Distance, n., 3); to leave far behind; to surpass greatly.

  • Distancy
  • n.

    Distance.

  • Minimum
  • n.

    The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.

  • Distanced
  • imp. & p. p.

    of Distance

  • Generalized
  • a.

    Comprising structural characters which are separated in more specialized forms; synthetic; as, a generalized type.

  • Distance
  • v. t.

    To place at a distance or remotely.

  • Distance
  • n.

    Remoteness in succession or relation; as, the distance between a descendant and his ancestor.

  • Minion
  • n.

    Minimum.

  • Manifoldness
  • n.

    A generalized concept of magnitude.

  • Generalizing
  • p. pr. & vb. n.

    of Generalize

  • Maximum
  • a.

    Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.