Search Results - algebraic decoding algorithm
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Progressive algebraic Chase decoding algorithms for Reed–Solomon codes
ISSN: 1751-8628, 1751-8636Published: The Institution of Engineering and Technology 11.08.2016Published in IET communications (11.08.2016)“…This study proposes a progressive algebraic Chase decoding (PACD) algorithm for Reed–Solomon (RS) codes. On the basis of the received information, 2…”
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Reliability-Based Forward Recursive Algorithms for Algebraic Soft-Decision Decoding of Reed--Solomon Codes
ISSN: 0090-6778, 1558-0857Published: New York, NY IEEE 01.07.2007Published in IEEE transactions on communications (01.07.2007)“…We propose efficient forward recursive algorithms for algebraic soft-decision list decoding of Reed-Solomon codes, which utilize channel reliability information, and outperform the Koetter-Vardy (KV…”
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3
Grobner Bases for Lattices and an Algebraic Decoding Algorithm
ISSN: 0090-6778Published: New York, NY IEEE 01.04.2013Published in IEEE transactions on communications (01.04.2013)“… Using this Grobner basis an algebraic decoding algorithm is introduced. We provide an example of the decoding method for a lower dimension lattice…”
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A Unified View on Known Algebraic Decoding Algorithms and New Decoding Concepts
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.11.2013Published in IEEE transactions on information theory (01.11.2013)“…Known properties of cyclic codes are used to give a unified description of many classical decoding algorithms for Reed-Solomon codes up to half the minimum distance…”
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Low-Complexity Soft-Decoding Algorithms for Reed-Solomon Codes-Part I: An Algebraic Soft-In Hard-Out Chase Decoder
ISSN: 0018-9448, 1557-9654Published: New York, NY IEEE 01.03.2010Published in IEEE transactions on information theory (01.03.2010)“…In this paper, we present an algebraic methodology for implementing low-complexity, Chase-type, decoding of Reed-Solomon (RS) codes of length n…”
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A Revolving Iterative Algorithm for Decoding Algebraic Cyclic and Quasi-Cyclic LDPC Codes
ISSN: 0090-6778Published: New York, NY IEEE 01.12.2013Published in IEEE transactions on communications (01.12.2013)“… a critical issue in practical applications. This paper presents an effective reduced-complexity algorithm for decoding algebraic cyclic and quasi-cyclic LDPC codes based…”
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7
McEliece PKC Calculator
ISSN: 1339-309X, 1335-3632, 1339-309XPublished: Bratislava Sciendo 31.01.2015Published in Journal of Electrical Engineering (31.01.2015)“…The original McEliece PKC proposal is interesting thanks to its resistance against all known attacks, even using quantum cryptanalysis, in an IND-CCA2 secure…”
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Algebraic decoding of the (41, 21, 9) quadratic residue code without determining the unknown syndromes
ISSN: 1874-4907, 1876-3219Published: Elsevier B.V 01.10.2020Published in Physical communication (01.10.2020)“… that exist in the received word are also simplified compared to those from Lin T. C. et al.’s algorithm, which is a traditional algebraic decoding algorithm…”
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Optimized Algebraic Decoding Algorithm for (47, 24, 11) QR Code
ISSN: 2770-792XPublished: IEEE 26.11.2022Published in IEEE International Conference on Information Communication and Signal Processing (Online) (26.11.2022)“…A fast decoding algorithm scheme is proposed for the quadratic residue code with code length of 47 and large error-correcting capacity of 5 errors in this paper, called optimized algebraic decoding algorithm (OADA…”
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Conference Proceeding -
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Peterson–Gorenstein–Zierler algorithm for differential convolutional codes
ISSN: 0938-1279, 1432-0622Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2021Published in Applicable algebra in engineering, communication and computing (01.06.2021)“…Differential Convolutional Codes with designed Hamming distance are defined, and an algebraic decoding algorithm, inspired by Peterson–Gorenstein…”
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A Unified View on Known Algebraic Decoding Algorithms and New Decoding Concepts
ISSN: 0018-9448, 1557-9654Published: New York, NY Institute of Electrical and Electronics Engineers 2013Published in IEEE transactions on information theory (2013)Get full text
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Correction to "An Efficient Maximum-Likelihood-Decoding Algorithm for Linear Block Codes With Algebraic Decoder" [Mar 94 320-327]
ISSN: 0018-9448, 1557-9654Published: IEEE 01.06.2012Published in IEEE transactions on information theory (01.06.2012)“…We correct two errors that appeared in the paper by Kaneko…”
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A Fast Algorithm for the Syndrome Calculation in Algebraic Decoding of Reed-Solomon Codes
ISSN: 0090-6778, 1558-0857Published: New York, NY IEEE 01.12.2007Published in IEEE transactions on communications (01.12.2007)“…In this paper, Fedorenko and Trifonov's procedure is applied to evaluate the syndrome of the received word in time-domain Reed-Solomon decoders. This…”
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Algebraic decoding of the (71, 36, 11) quadratic residue code
ISSN: 1751-8628, 1751-8636Published: The Institution of Engineering and Technology 14.04.2016Published in IET communications (14.04.2016)“… for the five-error case and apply the new algebraic decoding algorithm mentioned above to correct the remaining four errors, the algorithm has been verified through a software simulation in C-language…”
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Soft decoding of algebraic–geometric codes using Koetter-Vardy algorithm
ISSN: 0013-5194, 1350-911XPublished: 03.12.2009Published in Electronics letters (03.12.2009)Get full text
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Algebraic decoding of the binary systematic (71, 36, 11) quadratic residue code
ISSN: 0253-3839, 2158-7299Published: Taylor & Francis Group 01.04.2013Published in Journal of the Chinese Institute of Engineers (01.04.2013)“…A fast and efficient algebraic decoding algorithm (ADA) is proposed to correct up to five possible error patterns in the binary systematic (71, 36, 11) quadratic residue (QR) code…”
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An efficient maximum-likelihood-decoding algorithm for linear block codes with algebraic decoder
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.03.1994Published in IEEE transactions on information theory (01.03.1994)“…A new soft decoding algorithm for linear block codes is proposed. The decoding algorithm works with any algebraic decoder and its performance is strictly the same as that of maximum-likelihood-decoding (MLD…”
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Algebraic soft-decision decoding of Reed-Solomon codes
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.11.2003Published in IEEE transactions on information theory (01.11.2003)“… This list-decoding algorithm is algebraic in nature and builds upon the interpolation procedure proposed by Guruswami and Sudan(see ibid., vol.45, p.1757-67, Sept. 1999…”
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Algebraic List-Decoding in Projective Space: Decoding With Multiplicities and Rank-Metric Codes
ISSN: 0018-9448, 1557-9654Published: New York IEEE 01.02.2019Published in IEEE transactions on information theory (01.02.2019)“…The problem of list decoding algebraic subspace codes and rank-metric codes is considered…”
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Algebraic Decoding of Quasi-Reversible BCH Codes Using Band Matrices
ISSN: 0090-6778, 1558-0857Published: New York IEEE 01.05.2021Published in IEEE transactions on communications (01.05.2021)“… Its computational complexity is significantly lower than BCH decoding using the linear…”
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