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Volumn 54, Issue 4, 2008, Pages 1514-1520

An efficient pseudocodeword search algorithm for linear programming decoding of LDPC codes

Author keywords

Error floor; Linear programming decoding; Low density parity check (LDPC) codes

Indexed keywords

ALGORITHMS; CODES (SYMBOLS); CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; LINEAR PROGRAMMING; OPTIMIZATION;

EID: 41949108879     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2008.917682     Document Type: Article
Times cited : (36)

References (26)
  • 3
    • 84856043672 scopus 로고
    • A mathematical theory of communications
    • C. E. Shannon, "A mathematical theory of communications," Bell. Syst. Tech. J. 27. 379, vol. 27, no. 623, 1948.
    • (1948) Bell. Syst. Tech. J. 27. 379 , vol.27 , Issue.623
    • Shannon, C.E.1
  • 6
    • 0033099611 scopus 로고    scopus 로고
    • Good error-correcting codes based on very sparse matrices
    • D. J. C. MacKay, "Good error-correcting codes based on very sparse matrices," IEEE Trans. Inf. Theory, vol. 45, no. 2, p. 399, 1999.
    • (1999) IEEE Trans. Inf. Theory , vol.45 , Issue.2 , pp. 399
    • MacKay, D.J.C.1
  • 7
    • 5044250397 scopus 로고    scopus 로고
    • Graph covers and iterative decoding of finite-length codes
    • Brest, France, Sept. 1-5
    • R. Koetter and P. O. Vontobel, "Graph covers and iterative decoding of finite-length codes," in Proc. 3rd Int. Symp. Turbo Codes Related Topics, Brest, France, Sept. 1-5, 2003, pp. 75-82.
    • (2003) Proc. 3rd Int. Symp. Turbo Codes Related Topics , pp. 75-82
    • Koetter, R.1    Vontobel, P.O.2
  • 8
    • 33746626860 scopus 로고    scopus 로고
    • On the relationship between LP decoding and min-sum algorithms decoding
    • Parma, Italy
    • P. O. Vontobel and R. Koetter, "On the relationship between LP decoding and min-sum algorithms decoding," in Proc. ISITA, Parma, Italy, 2004.
    • (2004) Proc. ISITA
    • Vontobel, P.O.1    Koetter, R.2
  • 9
    • 41949119601 scopus 로고    scopus 로고
    • P. O. Vontobel and R. Koetter, Graph-Cover Decoding and Finite-Length Analysis of Message-Passing Iterative Decoding of LDPC Codes arXiv:cS.IT/ 0512078..
    • P. O. Vontobel and R. Koetter, Graph-Cover Decoding and Finite-Length Analysis of Message-Passing Iterative Decoding of LDPC Codes arXiv:cS.IT/ 0512078..
  • 10
    • 23744513375 scopus 로고    scopus 로고
    • Constructing free energy approximations and generalized belief propagation algorithms
    • J. S. Yedidia, W. T. Freeman, and Y. Weiss, "Constructing free energy approximations and generalized belief propagation algorithms," IEEE Trans. Inf. Theory, vol. 51, p. 2282, 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 2282
    • Yedidia, J.S.1    Freeman, W.T.2    Weiss, Y.3
  • 11
    • 0001396998 scopus 로고
    • Statistical theories of superlattices
    • H. A. Bethe, "Statistical theories of superlattices," in Proc. R. Soc. London A, 1935, vol. 150, p. 552.
    • (1935) Proc. R. Soc. London A , vol.150 , pp. 552
    • Bethe, H.A.1
  • 12
    • 36149021742 scopus 로고
    • A theory of cooperative phenomena
    • R. Kikuchi, "A theory of cooperative phenomena," Phys. Rev., vol. 81, p. 988, 1951.
    • (1951) Phys. Rev , vol.81 , pp. 988
    • Kikuchi, R.1
  • 14
    • 28844478954 scopus 로고    scopus 로고
    • Diagnosis of weakness in error correction codes: A physics approach to error floor analysis
    • Online, Available
    • M. G. Stepanov, V. Chernyak, M. Chertkov, and B. Vasic, "Diagnosis of weakness in error correction codes: A physics approach to error floor analysis," Phys. Rev. Lett., vol. 95, p. 228701, 2005 [Online]. Available: http://www.arxiv.org/cond-mat/0506037
    • (2005) Phys. Rev. Lett , vol.95 , pp. 228701
    • Stepanov, M.G.1    Chernyak, V.2    Chertkov, M.3    Vasic, B.4
  • 15
    • 0008117743 scopus 로고    scopus 로고
    • On the effective weights of pseudocodewords for codes defined on graphs with cycles
    • B. Marcus and J. Rosenthal, Eds, Minneapolis, MN, Springer-Verlag
    • G. D. Forney, R. Koetter Jr., F. R. Kschischang, and A. Reznik, "On the effective weights of pseudocodewords for codes defined on graphs with cycles," in Codes, Syst., Graphical Models of IMA Vol. Math. Appl. B. Marcus and J. Rosenthal, Eds., Minneapolis, MN, 1999/2001, vol. 1233, pp. 101-112, Springer-Verlag.
    • (1999) Codes, Syst., Graphical Models of IMA Vol. Math. Appl , vol.1233 , pp. 101-112
    • Forney, G.D.1    Koetter Jr., R.2    Kschischang, F.R.3    Reznik, A.4
  • 17
    • 0003846836 scopus 로고    scopus 로고
    • Codes and decoding on general graphs,
    • Ph.D. thesis, Linköping Univ, Linköping
    • N. Wiberg, "Codes and decoding on general graphs," Ph.D. thesis, Linköping Univ., Linköping, 1996.
    • (1996)
    • Wiberg, N.1
  • 18
    • 10644247292 scopus 로고    scopus 로고
    • A class of group-structured LDPC codes
    • Ambleside, U.K
    • R. M. Tanner, D. Sridhara, and T. Fuja, "A class of group-structured LDPC codes," in Proc. ISCTA, Ambleside, U.K., 2001.
    • (2001) Proc. ISCTA
    • Tanner, R.M.1    Sridhara, D.2    Fuja, T.3
  • 19
    • 33744482594 scopus 로고    scopus 로고
    • On the minimal pseudo-codewords of codes from finite geometries
    • Adelaide, Australia, Sep. 4-9, Online, Available
    • P. O. Vontobel, R. Smarandache, N. Kiyavash, J. Teutsch, and D. Vukobratovic, "On the minimal pseudo-codewords of codes from finite geometries," in ISIT 2005, Adelaide, Australia, Sep. 4-9, 2005, pp. 980-984 [Online]. Available: http://www.arxiv.org/abs/cs.IT/0508019
    • (2005) ISIT 2005 , pp. 980-984
    • Vontobel, P.O.1    Smarandache, R.2    Kiyavash, N.3    Teutsch, J.4    Vukobratovic, D.5
  • 20
    • 51249182252 scopus 로고
    • Explicit construction of graphs without short circles and low-density codes
    • G. A. Margulis, "Explicit construction of graphs without short circles and low-density codes," Combinatorica, vol. 2, p. 71, 1982.
    • (1982) Combinatorica , vol.2 , pp. 71
    • Margulis, G.A.1
  • 21
    • 48049114591 scopus 로고    scopus 로고
    • Weaknesses of margulis and ramanujan-margulis low-density parity-check codes
    • Galway [Online, Available
    • D. J. C. MacKay and M. J. Postol, "Weaknesses of margulis and ramanujan-margulis low-density parity-check codes," in Proc. MFCSIT2002, Galway [Online]. Available: http:// www.inference.phy.cam.ac.uk/mackay/abstracts/margulis.html
    • Proc. MFCSIT2002
    • MacKay, D.J.C.1    Postol, M.J.2
  • 22
    • 39049103424 scopus 로고    scopus 로고
    • Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime
    • Seattle, Jul
    • M. G. Stepanov and M. Chertkov, "Instanton analysis of Low-Density-Parity-Check codes in the error-floor regime," in arXiv:cS.IT/0601070, Proc. ISIT 2006, Seattle, Jul. 2006.
    • (2006) arXiv:cS.IT/0601070, Proc. ISIT 2006
    • Stepanov, M.G.1    Chertkov, M.2
  • 23
    • 39049115101 scopus 로고    scopus 로고
    • Adaptive linear programming decoding
    • Seattle, WA, arxiv:cS.IT/0601099
    • M. H. N. Taghavi and P. H. Siegel, "Adaptive linear programming decoding," in Proc. IEEE ISIT, Seattle, WA, 2006, arxiv:cS.IT/0601099.
    • (2006) Proc. IEEE ISIT
    • Taghavi, M.H.N.1    Siegel, P.H.2
  • 24
  • 25
    • 39049153891 scopus 로고    scopus 로고
    • A. G. Dimakis and M. J.Wainwright, Guessing facets: Polytope structure and improved LP decoder, in Proc. IEEE ISIT, Seattle, WA, 2006 [Snline]. Available: Arxiv:cs/0608029
    • A. G. Dimakis and M. J.Wainwright, "Guessing facets: Polytope structure and improved LP decoder," in Proc. IEEE ISIT, Seattle, WA, 2006 [Snline]. Available: Arxiv:cs/0608029
  • 26
    • 84940656304 scopus 로고    scopus 로고
    • Loop calculus helps to improve belief propagation and linear programming decodings of low-density-parity-check codes
    • Sep, Online, ASailable: ArXiv:cs.IT/0609154
    • M. Chertkov and V. Chernyak, "Loop calculus helps to improve belief propagation and linear programming decodings of low-density-parity-check codes," in Proc. 44th Allerton Conf., Sep. 2006 [Online]. ASailable: ArXiv:cs.IT/0609154
    • (2006) Proc. 44th Allerton Conf
    • Chertkov, M.1    Chernyak, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.