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Volumn 7, Issue 4, 1996, Pages 299-308

Fast decoding of non-binary first order Reed-Muller codes

Author keywords

Fast decoding algorithms; Reed Muller codes

Indexed keywords

ALGORITHMS; BINARY CODES; COMPUTATIONAL COMPLEXITY; DECODING; ERROR CORRECTION; MATHEMATICAL TRANSFORMATIONS;

EID: 0030173446     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01195535     Document Type: Article
Times cited : (7)

References (21)
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  • 2
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    • English translation
    • Ashikhmin, A., Litsyn, S.: Analysis of quasi-optimal decoding algorithms of biorthogonal codes. Radioelectronica, 31(11), pp. 30-34 (1988) (in Russian), English translation: Radio Electronics Commun Syst, 31(11), 26-30 (1988)
    • (1988) Radio Electronics Commun Syst , vol.31 , Issue.11 , pp. 26-30
  • 3
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    • List algorithm for search of the maximal element of Walsh transform
    • in Russian
    • Ashikhmin, A., Litsyn, S.: List algorithm for search of the maximal element of Walsh transform. Radioelectronica, 32(11), 15-22 (1990) (in Russian), English translation: Radio Electronics Commun Syst, 32(11), 37-41 (1990)
    • (1990) Radioelectronica , vol.32 , Issue.11 , pp. 15-22
    • Ashikhmin, A.1    Litsyn, S.2
  • 4
    • 3342879739 scopus 로고
    • English translation
    • Ashikhmin, A., Litsyn, S.: List algorithm for search of the maximal element of Walsh transform. Radioelectronica, 32(11), 15-22 (1990) (in Russian), English translation: Radio Electronics Commun Syst, 32(11), 37-41 (1990)
    • (1990) Radio Electronics Commun Syst , vol.32 , Issue.11 , pp. 37-41
  • 6
    • 0022719911 scopus 로고
    • Optimal soft decision block decoders based on fast Hadamard transform
    • Be'ery, Y., Snyders, J.: Optimal soft decision block decoders based on fast Hadamard transform, IEEE. Trans. Inf. Theory, IT-32, 355-364 (1986)
    • (1986) IEEE. Trans. Inf. Theory , vol.IT-32 , pp. 355-364
    • Be'ery, Y.1    Snyders, J.2
  • 7
    • 0019021257 scopus 로고
    • The technology of error-correcting codes
    • Berlekamp, E. R.: The technology of error-correcting codes, Proc. IEEE 68, 564-593 (1980)
    • (1980) Proc. IEEE , vol.68 , pp. 564-593
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  • 9
    • 0014821518 scopus 로고
    • On generalized Reed-Muller codes and their relatives
    • Delsarte, P., Goethals, J.-M., MacWilliams, F.J.: On generalized Reed-Muller codes and their relatives, Info. Control, 16, 403-442 (1974)
    • (1974) Info. Control , vol.16 , pp. 403-442
    • Delsarte, P.1    Goethals, J.-M.2    MacWilliams, F.J.3
  • 10
    • 0014737689 scopus 로고
    • A generalization of the fast Fourier transform
    • Glassman, J. A.: A generalization of the fast Fourier transform, IEEE Trans., v. C-19(2), (1970)
    • (1970) IEEE Trans. , vol.C-19 , Issue.2
    • Glassman, J.A.1
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    • The Intercation algorithm and practical Fourier analysis
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    • Good, I. J.: The Intercation algorithm and practical Fourier analysis, J. R. Stat. Soc. (London) B-20, 361-372 (1958)
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  • 13
    • 2442698604 scopus 로고
    • A serial orthogonal decoder
    • Green, R. R.: A serial orthogonal decoder, JPL Space Programs Summary. 37-39-IV, 247-253 (1966)
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  • 14
    • 3342950723 scopus 로고
    • Majority logic decoding of generalized Reed-Muller codes
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    • Grushko, I.: Majority logic decoding of generalized Reed-Muller codes, Problemy peredachi informatsii 26(3), 12-21 (1990) (in Russian)
    • (1990) Problemy Peredachi Informatsii , vol.26 , Issue.3 , pp. 12-21
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    • New generalizations of the Reed-Muller codes, Part 1: Primitive codes
    • Kasami, T., Lin, S., Peterson, W.: New generalizations of the Reed-Muller codes, Part 1: Primitive codes, IEEE Trans. Inf. Theory IT-14, 189-199 (1968)
    • (1968) IEEE Trans. Inf. Theory , vol.IT-14 , pp. 189-199
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  • 16
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    • Litsyn, S.: Fast algorithms for decoding orthogonal and related codes. Lecture Notes in Computer Science, vol. 539, Mattson H. F., Mora T., Rao T. R. N. (eds.) Applied Algebra, Algebraic Algorithms and Error Correcting Codes, pp. 39-47 (1991)
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  • 18
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    • Fast decoding algorithm for first order Reed-Muller codes
    • Litsyn, S., Shekhovtsov, O.: Fast decoding algorithm for first order Reed-Muller codes. Problemy Peredachi Informatsii, 19(2), 3-7 (1983)
    • (1983) Problemy Peredachi Informatsii , vol.19 , Issue.2 , pp. 3-7
    • Litsyn, S.1    Shekhovtsov, O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.