Search Results - algebraic decoding algorithm

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  1. 1

    Progressive algebraic Chase decoding algorithms for Reed–Solomon codes by Zhao, Jiancheng, Chen, Li, Ma, Xiao, Johnston, Martin

    ISSN: 1751-8628, 1751-8636
    Published: The Institution of Engineering and Technology 11.08.2016
    Published 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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    Journal Article
  2. 2

    Reliability-Based Forward Recursive Algorithms for Algebraic Soft-Decision Decoding of Reed--Solomon Codes by Haitao Xia, Cruz, J.R.

    ISSN: 0090-6778, 1558-0857
    Published: New York, NY IEEE 01.07.2007
    Published 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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    Journal Article
  3. 3

    Grobner Bases for Lattices and an Algebraic Decoding Algorithm by Aliasgari, M., Sadeghi, M., Panario, D.

    ISSN: 0090-6778
    Published: New York, NY IEEE 01.04.2013
    Published 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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    Journal Article
  4. 4

    A Unified View on Known Algebraic Decoding Algorithms and New Decoding Concepts by Bossert, Martin, Bezzateev, Sergey

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.11.2013
    Published 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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    Journal Article
  5. 5

    Low-Complexity Soft-Decoding Algorithms for Reed-Solomon Codes-Part I: An Algebraic Soft-In Hard-Out Chase Decoder by Bellorado, J., Kavcic, A.

    ISSN: 0018-9448, 1557-9654
    Published: New York, NY IEEE 01.03.2010
    Published 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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    Journal Article
  6. 6

    A Revolving Iterative Algorithm for Decoding Algebraic Cyclic and Quasi-Cyclic LDPC Codes by Liu, Keke, Lin, Shu, Abdel-Ghaffar, Khaled

    ISSN: 0090-6778
    Published: New York, NY IEEE 01.12.2013
    Published 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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    Journal Article
  7. 7

    McEliece PKC Calculator by Marek, Repka

    ISSN: 1339-309X, 1335-3632, 1339-309X
    Published: Bratislava Sciendo 31.01.2015
    Published 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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    Journal Article
  8. 8

    Algebraic decoding of the (41, 21, 9) quadratic residue code without determining the unknown syndromes by Luo, Chunlan, Wu, Yi, Chang, Hsin-chiu, Yang, Zheng, Xing, Song

    ISSN: 1874-4907, 1876-3219
    Published: Elsevier B.V 01.10.2020
    Published 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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    Journal Article
  9. 9

    Optimized Algebraic Decoding Algorithm for (47, 24, 11) QR Code by Luo, Chunlan, Zhu, Xiaoxia

    ISSN: 2770-792X
    Published: IEEE 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
  10. 10

    Peterson–Gorenstein–Zierler algorithm for differential convolutional codes by Gómez-Torrecillas, José, Lobillo, F. J., Navarro, Gabriel, Sánchez-Hernández, José Patricio

    ISSN: 0938-1279, 1432-0622
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 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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    Journal Article
  11. 11

    A Unified View on Known Algebraic Decoding Algorithms and New Decoding Concepts by BOSSERT, Martin, BEZZATEEV, Sergey

    ISSN: 0018-9448, 1557-9654
    Published: New York, NY Institute of Electrical and Electronics Engineers 2013
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    Journal Article
  12. 12

    Correction to "An Efficient Maximum-Likelihood-Decoding Algorithm for Linear Block Codes With Algebraic Decoder" [Mar 94 320-327] by Ma, Xiao, Tang, Siyun

    ISSN: 0018-9448, 1557-9654
    Published: IEEE 01.06.2012
    Published in IEEE transactions on information theory (01.06.2012)
    “…We correct two errors that appeared in the paper by Kaneko…”
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    Journal Article
  13. 13

    A Fast Algorithm for the Syndrome Calculation in Algebraic Decoding of Reed-Solomon Codes by Tsung-Ching Lin, Truong, T.K., Chen, P.D.

    ISSN: 0090-6778, 1558-0857
    Published: New York, NY IEEE 01.12.2007
    Published 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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    Journal Article
  14. 14

    Algebraic decoding of the (71, 36, 11) quadratic residue code by Lin, Tsung-Ching, Chang, Hsin-Chiu, Li, Yong, Chang, Jack, Truong, Trieu-Kien

    ISSN: 1751-8628, 1751-8636
    Published: The Institution of Engineering and Technology 14.04.2016
    Published 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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    Journal Article
  15. 15
  16. 16

    Algebraic decoding of the binary systematic (71, 36, 11) quadratic residue code by Lee, Hung-Peng, Chang, Hsin-Chiu, Chu, Shao-I

    ISSN: 0253-3839, 2158-7299
    Published: Taylor & Francis Group 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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    Journal Article
  17. 17

    An efficient maximum-likelihood-decoding algorithm for linear block codes with algebraic decoder by Kaneko, T., Nishijima, T., Inazumi, H., Hirasawa, S.

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.03.1994
    Published 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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    Journal Article
  18. 18

    Algebraic soft-decision decoding of Reed-Solomon codes by Koetter, R., Vardy, A.

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.11.2003
    Published 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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    Journal Article
  19. 19

    Algebraic List-Decoding in Projective Space: Decoding With Multiplicities and Rank-Metric Codes by Mahdavifar, Hessam, Vardy, Alexander

    ISSN: 0018-9448, 1557-9654
    Published: New York IEEE 01.02.2019
    Published 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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    Journal Article
  20. 20

    Algebraic Decoding of Quasi-Reversible BCH Codes Using Band Matrices by Lee, Chong-Dao, Chen, Yan-Haw

    ISSN: 0090-6778, 1558-0857
    Published: New York IEEE 01.05.2021
    Published in IEEE transactions on communications (01.05.2021)
    “… Its computational complexity is significantly lower than BCH decoding using the linear…”
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    Journal Article