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Volumn 50, Issue 11, 2004, Pages 2837-2844

An efficient maximum-likelihood decoding of LDPC codes over the binary erasure channel

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHANNEL CAPACITY; CODES (SYMBOLS); COMPUTATIONAL COMPLEXITY; DECODING; ITERATIVE METHODS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY;

EID: 8144229470     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.836694     Document Type: Article
Times cited : (86)

References (22)
  • 1
    • 4544245136 scopus 로고    scopus 로고
    • Exact thresholds and optimal codes for the binary symmetric channel and Gallager's decoding algorithm A
    • Also available at submitted for publication
    • L. Bazzi, T. Richardson, and R. Urbanke, "Exact thresholds and optimal codes for the binary symmetric channel and Gallager's decoding algorithm A," IEEE Trans. Inform. Theory. Also available at http://cm.bell-labs.com/cm/ms/who/tjr/pub.html, submitted for publication.
    • IEEE Trans. Inform. Theory
    • Bazzi, L.1    Richardson, T.2    Urbanke, R.3
  • 2
    • 0036160741 scopus 로고    scopus 로고
    • Bounds on the performance of belief propagation decoding
    • Jan
    • D. Burshtein and G. Miller, "Bounds on the performance of belief propagation decoding," IEEE Trans. Inform. Theory, vol. 48, pp. 112-122, Jan. 2002.
    • (2002) IEEE Trans. Inform. Theory , vol.48 , pp. 112-122
    • Burshtein, D.1    Miller, G.2
  • 3
    • 21144460202 scopus 로고
    • Solving linear equations over GF(2): Block Lanczos algorithm
    • D. Coppersmith, "Solving linear equations over GF(2): Block Lanczos algorithm," Linear Alg. Applic., vol. 192, pp. 33-60, 1993.
    • (1993) Linear Alg. Applic. , vol.192 , pp. 33-60
    • Coppersmith, D.1
  • 4
    • 84968521645 scopus 로고
    • Solving homogeneous linear equations over GF(2) via block Wiedemann algorithm
    • Jan
    • D. Coppersmith, "Solving homogeneous linear equations over GF(2) via block Wiedemann algorithm," Math. of Comput., vol. 62, no. 205, pp. 333-350, Jan. 1994.
    • (1994) Math. of Comput. , vol.62 , Issue.205 , pp. 333-350
    • Coppersmith, D.1
  • 9
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • M. R. Hestenes and E. Stiefel, "Methods of conjugate gradients for solving linear systems," J. Res. Nat. Bur. Stand., vol. 49, pp. 409-436, 1952.
    • (1952) J. Res. Nat. Bur. Stand. , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.2
  • 10
    • 84988216913 scopus 로고
    • Solving large sparse linear systems over finite fields
    • A. Menezes and S. Vanstone, Eds. Berlin, Germany: Springer-Verlag
    • B. A. LaMacchia and A. M. Odlyzko, "Solving large sparse linear systems over finite fields," in Advances in Cryptology: CRYPTO '90 (Lecture Notes in Computer Science), A. Menezes and S. Vanstone, Eds. Berlin, Germany: Springer-Verlag, 1991, vol. 537, pp. 109-133.
    • (1991) Advances in Cryptology: CRYPTO '90 (Lecture Notes in Computer Science) , vol.537 , pp. 109-133
    • LaMacchia, B.A.1    Odlyzko, A.M.2
  • 11
    • 0002814189 scopus 로고
    • Solution of systems of linear equations by minimized iterations
    • C. Lanczos, "Solution of systems of linear equations by minimized iterations," J. Res. Nat. Bur. Stand., vol. 49, pp. 33-53, 1952.
    • (1952) J. Res. Nat. Bur. Stand. , vol.49 , pp. 33-53
    • Lanczos, C.1
  • 15
    • 85075674312 scopus 로고
    • A block Lanczos algorithm for finding dependencies over GF(2)
    • L. C. Guillou and J. J. Quisquater, Eds. Berlin, Germany: Springer-Verlag
    • P. L. Montgomery, "A block Lanczos algorithm for finding dependencies over GF(2)," in Advances in Cryptology: EUROCRYPT '95 (Lecture Notes in Computer Science), L. C. Guillou and J. J. Quisquater, Eds. Berlin, Germany: Springer-Verlag, 1995, vol. 921, pp. 106-120.
    • (1995) Advances in Cryptology: EUROCRYPT '95 (Lecture Notes in Computer Science) , vol.921 , pp. 106-120
    • Montgomery, P.L.1
  • 16
    • 84957014368 scopus 로고
    • Discrete logarithms in finite fields and their cryptographic significance
    • T. Beth, N. Cot, and I. Ingemarsson, Eds. Berlin, Germany: Springer-Verlag
    • A. M. Odlyzko, "Discrete logarithms in finite fields and their cryptographic significance," in Advances in Cryptology: Proceedings of Eurocrypt '84 (Lecture Notes in Computer Science), T. Beth, N. Cot, and I. Ingemarsson, Eds. Berlin, Germany: Springer-Verlag, 1985, vol. 209, pp. 224-314.
    • (1985) Advances in Cryptology: Proceedings of Eurocrypt '84 (Lecture Notes in Computer Science) , vol.209 , pp. 224-314
    • Odlyzko, A.M.1
  • 17
    • 0001534053 scopus 로고    scopus 로고
    • Discrete logarithms: The past and the future
    • Mar
    • A. M. Odlyzko, "Discrete logarithms: The past and the future" Des., Codes Cryptogr., vol. 19, no. 2-3, pp. 129-145, Mar. 2000.
    • (2000) Des., Codes Cryptogr. , vol.19 , Issue.2-3 , pp. 129-145
    • Odlyzko, A.M.1
  • 18
    • 0035246320 scopus 로고    scopus 로고
    • Efficient encoding of low-density parity-check codes
    • Feb
    • T. Richardson and R. Urbanke, "Efficient encoding of low-density parity-check codes" IEEE Trans. Inform. Theory, vol. 47, pp. 638-656, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 638-656
    • Richardson, T.1    Urbanke, R.2
  • 19
    • 34250487811 scopus 로고
    • Gaussian elimination is not optimal
    • V. Strassen, "Gaussian elimination is not optimal" Numerische Math., vol. 13, pp. 354-356, 1969.
    • (1969) Numerische Math. , vol.13 , pp. 354-356
    • Strassen, V.1
  • 20
    • 0019608335 scopus 로고
    • A recursive approach to low complexity codes
    • Sept
    • R. M. Tanner, "A recursive approach to low complexity codes," IEEE Trans. Inform. Theory, vol. IT-27, pp. 533-547, Sept. 1981.
    • (1981) IEEE Trans. Inform. Theory , vol.IT-27 , pp. 533-547
    • Tanner, R.M.1
  • 21
    • 0032372015 scopus 로고    scopus 로고
    • Euclid's algorithm and the Lanczos method over finite fields
    • Oct
    • J. Teitelbaum, "Euclid's algorithm and the Lanczos method over finite fields," Math. Comput., vol. 67, no. 224, pp. 1665-1678, Oct. 1998.
    • (1998) Math. Comput. , vol.67 , Issue.224 , pp. 1665-1678
    • Teitelbaum, J.1
  • 22
    • 0022583143 scopus 로고
    • Solving sparse linear equations over finite fields
    • Jan
    • D. Wiedemann, "Solving sparse linear equations over finite fields," IEEE Trans. Inform. Theory, vol. IT-32, pp. 54-62, Jan. 1986.
    • (1986) IEEE Trans. Inform. Theory , vol.IT-32 , pp. 54-62
    • Wiedemann, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.