메뉴 건너뛰기




Volumn 52, Issue 9, 2006, Pages 4212-4218

On the asymptotic weight and stopping set distribution of regular LDPC ensembles

Author keywords

Low density parity check (LDPC) codes; Second moment method; Stopping set distribution; Weight distribution

Indexed keywords

ASYMPTOTIC STABILITY; METHOD OF MOMENTS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SET THEORY;

EID: 33748545302     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.880065     Document Type: Article
Times cited : (24)

References (17)
  • 1
    • 0031275868 scopus 로고    scopus 로고
    • "The intractability of computing the minimum distance of code"
    • A. Vardy, "The intractability of computing the minimum distance of code," IEEE Trans. Inf. Theory, vol. 43, pp. 1757-1766, 1997.
    • (1997) IEEE Trans. Inf. Theory , vol.43 , pp. 1757-1766
    • Vardy, A.1
  • 2
    • 33748576376 scopus 로고    scopus 로고
    • Study of the Weight Enumerator Function for a Gallager Code
    • Project Report Cavendish Laboratory, University of Cambridge, Cambridge, U.K., Jul
    • S. Condamin, Study of the Weight Enumerator Function for a Gallager Code, Project Report Cavendish Laboratory, University of Cambridge, Cambridge, U.K., Jul. 2002.
    • (2002)
    • Condamin, S.1
  • 4
    • 0001331546 scopus 로고
    • "Spin-glass models as error-correcting codes"
    • N. Sourlas, "Spin-glass models as error-correcting codes," Nature, vol. 339, pp. 693-695, 1989.
    • (1989) Nature , vol.339 , pp. 693-695
    • Sourlas, N.1
  • 5
    • 78651385069 scopus 로고
    • "Spin glasses, error-correcting codes and finite-temperature decoding"
    • N. Sourlas, "Spin glasses, error-correcting codes and finite-temperature decoding," Europhys. Lett., vol. 25, pp. 159-164, 1994.
    • (1994) Europhys Lett. , vol.25 , pp. 159-164
    • Sourlas, N.1
  • 6
    • 5044242131 scopus 로고    scopus 로고
    • "Weight distribution of LPDC code ensemble: Combinatorics meets statistical physics"
    • Chicago, IL, USA
    • C. Di, A. Montanari, and R. Urbanke, "Weight distribution of LPDC code ensemble: Combinatorics meets statistical physics," in Proc. Int. Symp. Inf. Theory 2004, Chicago, IL, USA.
    • (2004) Proc. Int. Symp. Inf. Theory
    • Di, C.1    Montanari, A.2    Urbanke, R.3
  • 7
    • 0000210350 scopus 로고    scopus 로고
    • "The Glassy Phase of Gallager Codes"
    • A. Montanari, "The Glassy Phase of Gallager Codes," European Phys. J., vol. 23, 2001.
    • (2001) European Phys. J. , vol.23
    • Montanari, A.1
  • 9
    • 2942679339 scopus 로고    scopus 로고
    • "Asymptotic enumeration methods for analyzing LDPC codes"
    • June
    • D. Burshtein and G. Miller, "Asymptotic enumeration methods for analyzing LDPC codes," IEEE Trans. Inf. Theory, vol. 50, no. 6, pp. 1115-1131, June 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.6 , pp. 1115-1131
    • Burshtein, D.1    Miller, G.2
  • 10
    • 33646026765 scopus 로고    scopus 로고
    • "Weight distribution of iterative coding systems: How deviant can you be?"
    • Washington, DC, Jun
    • C. Di, T. Richardson, and R. Urbanke, "Weight distribution of iterative coding systems: How deviant can you be?," in Proc. IEEE Int. Symp. Inf. Theory, Washington, DC, Jun. 2001, p. 50.
    • (2001) Proc. IEEE Int. Symp. Inf. Theory , pp. 50
    • Di, C.1    Richardson, T.2    Urbanke, R.3
  • 11
    • 0036539259 scopus 로고    scopus 로고
    • "On ensembles of low-density parity-check codes: Asymptotic distance distributions"
    • Apr
    • S. Litsyn and V. Shevelev, "On ensembles of low-density parity-check codes: Asymptotic distance distributions," IEEE Trans. Inf. Theory, vol. 48, no. 4, Apr. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.4
    • Litsyn, S.1    Shevelev, V.2
  • 12
    • 0004323528 scopus 로고    scopus 로고
    • Analytic Combinatorics preprint
    • P. Flajolet and R. Sedgewick, Analytic Combinatorics preprint.
    • Flajolet, P.1    Sedgewick, R.2
  • 13
    • 0007468685 scopus 로고
    • "Some results on the asymptotic behavior of coefficients of large powers of functions"
    • D. Gardy, "Some results on the asymptotic behavior of coefficients of large powers of functions," Discr. Math., vol. 139, pp. 189-217, 1995.
    • (1995) Discr. Math. , vol.139 , pp. 189-217
    • Gardy, D.1
  • 14
    • 0001183529 scopus 로고
    • "Central and local limit theorems applied to asymptotic enumeration II: Multivariate generating functions"
    • ser
    • E. A. Bender and L. B. Richmond, "Central and local limit theorems applied to asymptotic enumeration II: Multivariate generating functions," J. Combin. Theory Ser. , ser. A 34, pp. 255-265, 1983.
    • (1983) J. Combin. Theory Ser. , vol.A34 , pp. 255-265
    • Bender, E.A.1    Richmond, L.B.2
  • 15
    • 0141904678 scopus 로고    scopus 로고
    • "Stopping set distribution of LDPC code ensembles"
    • A. Orlitsky, K. Viswanathan, and J. Zhang, "Stopping set distribution of LDPC code ensembles," in Proc. ISIT 2003, p. 23.
    • (2003) Proc. ISIT , pp. 23
    • Orlitsky, A.1    Viswanathan, K.2    Zhang, J.3
  • 16
    • 33748547041 scopus 로고    scopus 로고
    • "The second moment method, conditioning and approximation"
    • New York: Springer
    • S. Janson, "The second moment method, conditioning and approximation," in Random Discrete Structures (Proceedings, Minneapolis 1993). New York: Springer, 1996, pp. 175-183.
    • (1996) Random Discrete Structures (Proceedings, Minneapolis 1993) , pp. 175-183
    • Janson, S.1
  • 17
    • 0000672724 scopus 로고    scopus 로고
    • "Concentration"
    • M Habib, C. McDiarmid, and J. Ramirez-Alfonsin, Eds. Berlin/Heidelberg, Germany: Springer-Verlag
    • C. McDiarmid, "Concentration," in Probabilistic Methods for Algorithmic Discrete Mathematics, M Habib, C. McDiarmid, and J. Ramirez-Alfonsin, Eds. Berlin/Heidelberg, Germany: Springer-Verlag, 1998, pp. 195-247.
    • (1998) Probabilistic Methods for Algorithmic Discrete Mathematics , pp. 195-247
    • McDiarmid, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.