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Showing 1 to 20 of 87 for “"Error-correcting codes"”.

  1. Cyclic Spot-Error-Correcting Codes

    Foulk, Clinton RossUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-09T22:17:08Z (GMT). No. of bitstreams: 1 6406058.pdf: 5458599 bytes, checksum: 8fc20015912cfa864956a30233f264df (MD5) Previous issue date: 1963

    uiuc Repository record

  2. Statistical physics of error-correcting codes

    Vicente, RenatoAston University2000

    … the typical performance of four families of error-correcting codes based on very sparse linear transformations: Sourlas codes, Gallager codes, MacKay-Neal codes and Kanter-Saad codes. We map the decoding problem onto an Ising spin system with many-spins interactions. We then employ the …

    aston Repository record

  3. Error-Correcting-Codes in Computer Arithmetic

    Liu, Chao-KaiUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-10T19:07:08Z (GMT). No. of bitstreams: 1 7317303.pdf: 3230254 bytes, checksum: 0224024c93641180a5acace586589d07 (MD5) Previous issue date: 1972

    uiuc Repository record

  4. Error Correcting Codes for Compound Channels

    Hsu, Hsung TsaoUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-08T22:24:10Z (GMT). No. of bitstreams: 1 6711870.pdf: 2449437 bytes, checksum: 9eccb8e7d1e61e8d63bfa0bb139d3a10 (MD5) Previous issue date: 1967

    uiuc Repository record

  5. New error correcting codes from lifting

    Guo, Alan XinyuMassachusetts Institute of Technology2015

    Error correcting codes have been widely used for protecting information from noise. The theory of error correcting codes studies the range of parameters achievable by such codes, as well as the efficiency with which one can encode and decode them. In recent years, attention has focused on the study …

    mit Repository record

  6. List decoding of error-correcting codes

    Guruswami, Venkatesan, 1976-Massachusetts Institute of Technology2001

    Error-correcting codes are combinatorial objects designed to cope with the problem of reliable transmission of information on a noisy channel. A fundamental algorithmic challenge in coding theory and practice is to efficiently decode the original transmitted message even when a few symbols of the …

    mit Repository record

  7. Error Correcting Codes and the Human Genome.

    Lyle, Suzanne McLean2010

    <p>In this work, we study error correcting codes and generalize the concepts with a view toward a novel application in the study of DNA sequences. The author investigates the possibility that an error correcting linear code could be included in the human genome through application and research. The …

    etsu Repository record

  8. On error correcting codes for distributed storage

    Li, XiaoUniversity of Illinois at Urbana-Champaign2020

    Two popular directions of error correcting codes for distributed storage are codes with additional recovery or regenerating properties. First we have codes for additional recovery properties. Codewords in array format find applications in disk storage where columns are stored on different disks in …

    uiuc Repository record

  9. Decoding error-correcting codes via linear programming

    Feldman, Jon, 1975-Massachusetts Institute of Technology2003

    Error-correcting codes are fundamental tools used to transmit digital information over unreliable channels. Their study goes back to the work of Hamming [Ham50] and Shannon [Sha48], who used them as the basis for the field of information theory. The problem of decoding the original information up …

    mit Repository record

  10. Computationally efficient error-correcting codes and holographic proofs

    Spielman, Daniel AlanMassachusetts Institute of Technology1995

    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.

    mit Repository record

  11. Propagation of updates to replicas using error-correcting codes

    Palaniappan, Karthik2019

    … information needed to correct these bytes using Error Correcting Codes. Transferring the parity information propagates the update. The updated data can be constructed using the parity information and the outdated data. Our investigation proved that the approach would be bandwidth efficient but …

    wvu Repository record

  12. Error-correcting codes on low néron-severi rank surfaces

    Zarzar, Marcos AugustoThe University of Texas at Austin2006

    … work we construct and estimate the parameters of error-correcting codes on algebraic surfaces whose N´eron-Severi group has low rank. If the rank of the N´eron-Severi group of a surface is 1, the intersection of this surface with an irreducible surface of lower degree will be an irreducible curve, …

    texas Repository record

  13. Algebraic Geometry and Its Application to Error-Correcting Codes

    Davis, Joe

    … technology, methods must be found that allow errors in data transmission to be detected and corrected. It is to this end that we are studying the usefulness of algebraic geometry in making more efficient codes. We will be discussing how these codes are created and their parameters. We will …

    mo-state Repository record

  14. Error-Correcting Codes Associated With Generalized Hadamard Matrices Over Groups

    Heng, Iem H.2019

    … whose elements are ±1. It is well-known that error correcting codes having large minimum distance between codewords can be associated with these Hadamard matrices. Indeed, the success of early Mars deep-space probes was strongly dependent upon this communication technology.</p> <p>The concept …

    odu Repository record

  15. Error -Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs

    Trachtenberg, AriUniversity of Illinois at Urbana-Champaign2015

    We consider two graph-based techniques for correcting the errors introduced into a transmission by a noisy channel. In the first technique, which is based on decoding with a layered graph known as a trellis, we examine generalization of heuristically good codes called lexicodes. We propose and …

    uiuc Repository record

  16. Error-correcting codes and applications to large scale classification systems

    Hurwitz, Jeremy ScottMassachusetts Institute of Technology2009

    … of distributed output coding (DOC) and error-Correcting output coding (ECOC) as potential methods for expanding the class of tractable machine-learning problems. Using distributed output coding, we were able to scale a neural-network-based algorithm to handle nearly 10,000 output …

    mit Repository record

  17. Performance of error correcting codes with random and burst errors

    Asimopoulos, NikosVirginia Polytechnic Institute and State University1983

    The errors that can occur in a computer system during data reading or recording in the memory can be of different types depending upon the memory organization. They can be random bit errors or burst errors. Therefore, if high reliability is required, the use of an error correcting technique that …

    vt Repository record

  18. Application of Fourier Transform Over Finite-Fields to Error-Correcting Codes

    Choy, David Mun-HienUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-10T19:07:20Z (GMT). No. of bitstreams: 1 7500279.pdf: 2583193 bytes, checksum: 9b74718ca8182c99c84564311303cad1 (MD5) Previous issue date: 1974

    uiuc Repository record

  19. Generator Matrix Based Search for Extremal Self-Dual Binary Error-Correcting Codes

    Derka, MartinBrock University2012

    Self-dual doubly even linear binary error-correcting codes, often referred to as Type II codes, are codes closely related to many combinatorial structures such as 5-designs. Extremal codes are codes that have the largest possible minimum distance for a given length and dimension. The existence of …

    brock Repository record

  20. Fault-tolerant quantum computer architectures using hierarchies of quantum error-correcting codes

    Cross, Andrew W. (Andrew William), 1979-Massachusetts Institute of Technology2008

    … Code-based fault-tolerance using quantum error-correcting codes is one of the most promising and versatile of the known routes for fault-tolerant quantum computation. This dissertation presents three main, new results about code-based fault-tolerant quantum computer architectures. The …

    mit Repository record

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