Search Results - "bounded distance decoding algorithm"
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On the List and Bounded Distance Decodability of Reed–Solomon Codes
ISSN: 0097-5397, 1095-7111Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2007Published in SIAM journal on computing (01.01.2007)“…For an error-correcting code and a distance bound, the list decoding problem is to compute all the codewords within a given distance to a received message. The…”
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A bounded-distance decoding algorithm for binary linear block codes achieving the minimum effective error coefficient
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.11.1996Published in IEEE transactions on information theory (01.11.1996)“…A new bounded-distance (BD) decoding algorithm is presented for binary linear (n, k, d) block codes on additive white Gaussian noise channels. The algorithm is…”
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A bounded-distance decoding algorithm for the Leech lattice, with generalizations
ISSN: 0018-9448Published: IEEE 01.07.1989Published in IEEE transactions on information theory (01.07.1989)“…An algorithm is given that decodes the Leech lattice with not much more than twice the complexity of soft-decision decoding of the Golay code. The algorithm…”
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A bounded-distance decoding algorithm for lattices obtained from a generalized code formula
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.11.1994Published in IEEE transactions on information theory (01.11.1994)“…A multistage decoding algorithm is given for lattices obtained from a multilevel code formula. The algorithm is shown to have the same effective…”
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A Bounded-Distance Decoding Algorithm for Lattices Obtained from a Generalized Code Formula
ISBN: 9780780308787, 0780308786Published: IEEE 1993Published in IEEE International Symposium on Information Theory, 1993 (1993)“…A multistage decoding algorithm is given for lattices obtained from a generalized code formula. The corresponding multilevel construction is based on a chain…”
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6
Bounded-distance decoding: algorithms, decision regions, and pseudo nearest neighbors
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.11.1998Published in IEEE transactions on information theory (01.11.1998)“…For a code C, bounded distance decoding algorithms perform as optimal algorithms within the balls B(c…”
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On the Error Correction of Iterative Bounded Distance Decoding of Generalized LDPC Codes
ISSN: 0018-9448, 1557-9654Published: IEEE 01.11.2025Published in IEEE transactions on information theory (01.11.2025)“… To decode a GLDPC code from the ensemble, we use the bit flipping bounded distance decoding algorithm, which is an extension of the bit flipping algorithm for LDPC codes…”
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Low-complexity Chase-like bounded-distance decoding algorithms
ISBN: 9780780379749, 0780379748Published: IEEE 2003Published in Globecom 2003, IEEE (2003)“…A soft-decision decoder for an error-correcting block code of Hamming distance d is said to achieve bounded-distance (BD) decoding if its error-correction…”
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Conference Proceeding -
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Using reed-muller RM (1, m) codes over channels with synchronization and substitution errors
ISSN: 0018-9448Published: New York, NY Institute of Electrical and Electronics Engineers 01.04.2007Published in IEEE transactions on information theory (01.04.2007)“… resulting linear subcode has good post-deletion and post-repetition minimum distance. A bounded distance decoding algorithm is provided for the use of this pruned code over the channel…”
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10
A Low-Area and Low-Power Architecture for Soft-Assisted Product Decoder
Published: IEEE 10.05.2024Published in 2024 5th Information Communication Technologies Conference (ICTC) (10.05.2024)“… Therefore, further efforts are needed to achieve efficient hardware implementation. In this paper, a low-area and low-power product decoder based on Improved Soft-Assisted Iterative Bounded Distance Decoding algorithm (ISA-iBDD…”
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Even more efficient bounded-distance decoding of the hexacode, the Golay code, and the Leech lattice
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.09.1995Published in IEEE transactions on information theory (01.09.1995)“…We present a new bounded-distance decoding algorithm for the hexacode, which requires at most 34 real operations in the worst case, as compared to 57 such operations in the best previously known decoder…”
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12
Using Reed-Muller }\,(1, m) Codes Over Channels With Synchronization and Substitution Errors
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.04.2007Published in IEEE transactions on information theory (01.04.2007)“… resulting linear subcode has good post-deletion and post-repetition minimum distance. A bounded distance decoding algorithm is provided for the use of this pruned code over the channel…”
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13
Using ReedaMuller RMANB(1, m) Codes Over Channels With Synchronization and Substitution Errors
ISSN: 0018-9448Published: 01.01.2007Published in IEEE transactions on information theory (01.01.2007)“… resulting linear subcode has good post-deletion and post-repetition minimum distance. A bounded distance decoding algorithm is provided for the use of this pruned code over the channel…”
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Design of efficient codes for the AWGN channel based on decomposable binary lattices
ISSN: 0332-1649, 2054-5606Published: Bradford Emerald Group Publishing Limited 01.12.1998Published in Compel (01.12.1998)“…The work is concerned with digital transmission over a QAM channel using signal space coding techniques. In literature a largely known method to obtain coding…”
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A simple scheme for correcting blocks of multiple adjacent bit errors
Published: IEICE 01.10.2014Published in 2014 International Symposium on Information Theory and its Applications (01.10.2014)“…There are several practical scenarios where the behavior of a communications channel can be somehow predictable. For instance, in nanometric technologies the…”
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Conference Proceeding -
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A CUDA Based Parallel Decoding Algorithm for the Leech Lattice Locality Sensitive Hash Family
ISBN: 9781267488848, 1267488840Published: ProQuest Dissertations & Theses 01.01.2012“…Nearest neighbor search is a fundamental requirement of many machine learning algorithms and is essential to fuzzy information retrieval. The utility of…”
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Dissertation -
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Power Decoding Reed--Solomon Codes Up to the Johnson Radius
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 07.12.2017Published in arXiv.org (07.12.2017)“… It is a "partial bounded-distance decoding algorithm" since it will fail to return a codeword for a few error patterns within its decoding radius; we investigate its failure behaviour theoretically as well as give simulation results. This is an extended version where we also show how the method can be made faster using the re-encoding technique or a syndrome formulation…”
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Paper -
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ON THE LIST AND BOUNDED DISTANCE DECODABILITY OF REED-SOLOMON CODES
ISSN: 0097-5397Published: Philadelphia, PA Society for Industrial and Applied Mathematics 2008Published in SIAM journal on computing (2008)Get full text
Journal Article -
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Estimates of the bit error probabilities for linear block codes and symmetric binary-input memoryless channels
ISBN: 0780376293, 9780780376298Published: IEEE 2002Published in 2002 IEEE Information Theory Workshop (2002)“… Such a representation leads to simple upper bounds on the bit error probabilities for code components expressed via 2n code spectra, where n is the code length, and to a "bounded distance decoding" algorithm…”
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Conference Proceeding -
20
Binary decomposable codes over N/spl times/N-PSK constellations
ISBN: 0780336763, 9780780336766“… We describe a low complexity bounded distance decoding algorithm and a simple implementation of a differential encoder for these codes…”Published: IEEE 1997
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Conference Proceeding

