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Volumn 50, Issue 6, 2004, Pages 1257-1268

Construction of low-density parity-check codes based on balanced incomplete block designs

Author keywords

Balanced incomplete block design; Quasic cyclic code; Symmetrically repeated difference

Indexed keywords

BLOCK CODES; DECODING; GRAPH THEORY; MATRIX ALGEBRA; SHIFT REGISTERS;

EID: 2942661950     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.828144     Document Type: Letter
Times cited : (148)

References (46)
  • 1
    • 84925405668 scopus 로고
    • Low density parity check codes
    • Jan.
    • R. G. Gallager, "Low density parity check codes," IRE Trans. Inform. Theory, vol. IT-8, pp. 21-28, Jan. 1962.
    • (1962) IRE Trans. Inform. Theory , vol.IT-8 , pp. 21-28
    • Gallager, R.G.1
  • 2
    • 0030219216 scopus 로고    scopus 로고
    • Near Shannon limit performance of low density parity check codes
    • D. J. C. MacKay and R. M. Neal, "Near Shannon limit performance of low density parity check codes," Electron. Lett., vol. 32, pp. 1645-1646, 1996.
    • (1996) Electron. Lett. , vol.32 , pp. 1645-1646
    • MacKay, D.J.C.1    Neal, R.M.2
  • 4
    • 0033099611 scopus 로고    scopus 로고
    • Good error-correcting codes based on very sparse matrices
    • Mar.
    • D. J. C. MacKay, "Good error-correcting codes based on very sparse matrices," IEEE Trans. Inform. Theory, vol. 45, pp. 399-432, Mar. 1999.
    • (1999) IEEE Trans. Inform. Theory , vol.45 , pp. 399-432
    • MacKay, D.J.C.1
  • 5
    • 0035246307 scopus 로고    scopus 로고
    • The capacity of low-density parity-check codes under message-passing decoding
    • Feb.
    • T. J. Richardson and R. Urbanke, "The capacity of low-density parity-check codes under message-passing decoding," IEEE Trans. Inform. Theory, vol. 47, pp. 599-618, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 599-618
    • Richardson, T.J.1    Urbanke, R.2
  • 6
    • 0035246127 scopus 로고    scopus 로고
    • Design of capacity-approaching irregular low-density parity-check codes
    • Feb.
    • T. J. Richardson, M. A. Shokrollahi, and R. Urbanke, "Design of capacity-approaching irregular low-density parity-check codes," IEEE Trans. Inform. Theory, vol. 47, pp. 619-637, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 619-637
    • Richardson, T.J.1    Shokrollahi, M.A.2    Urbanke, R.3
  • 7
    • 0035248618 scopus 로고    scopus 로고
    • On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit
    • Feb.
    • S. Y. Chung, G. D. Forney Jr, T. Richardson, and R. Urbanke, "On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit," IEEE Commun. Lett., vol. 5, Feb. 2001.
    • (2001) IEEE Commun. Lett. , vol.5
    • Chung, S.Y.1    Forney Jr., G.D.2    Richardson, T.3    Urbanke, R.4
  • 8
    • 0035504019 scopus 로고    scopus 로고
    • Low-density parity-check codes based on finite geometries: A rediscovery and new results
    • Nov.
    • Y. Kou, S. Lin, and M. Fossorier, "Low-density parity-check codes based on finite geometries: A rediscovery and new results," IEEE Trans. Inform. Theory, vol. 47, pp. 2711-2736, Nov. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 2711-2736
    • Kou, Y.1    Lin, S.2    Fossorier, M.3
  • 9
    • 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
  • 10
    • 0029371056 scopus 로고
    • Codes and iterative decoding on general graphs
    • Sept.-Oct.
    • N. Wiberg, H.-A. Loeliger, and R. Kötter, "Codes and iterative decoding on general graphs," Europ. Trans. Telecomm., vol. 6, pp. 513-526, Sept.-Oct. 1995.
    • (1995) Europ. Trans. Telecomm. , vol.6 , pp. 513-526
    • Wiberg, N.1    Loeliger, H.-A.2    Kötter, R.3
  • 11
    • 0032001728 scopus 로고    scopus 로고
    • Turbo decoding as an instance of Pearl's belief propagation algorithm
    • Feb.
    • R. J. McEliece, D. J. C. MacKay, and J.-F. Cheng, "Turbo decoding as an instance of Pearl's belief propagation algorithm," IEEE J. Select. Areas Commun., vol. 16, pp. 140-152, Feb. 1998.
    • (1998) IEEE J. Select. Areas Commun. , vol.16 , pp. 140-152
    • McEliece, R.J.1    MacKay, D.J.C.2    Cheng, J.-F.3
  • 13
    • 0034206426 scopus 로고    scopus 로고
    • Iterative decoding of one-step majority logic decodable codes based on belief propagation
    • June
    • R. Lucas, M. Fossorier, Y. Kou, and S. Lin, "Iterative decoding of one-step majority logic decodable codes based on belief propagation," IEEE Trans. Commun., vol. 48, pp. 931-937, June 2000.
    • (2000) IEEE Trans. Commun. , vol.48 , pp. 931-937
    • Lucas, R.1    Fossorier, M.2    Kou, Y.3    Lin, S.4
  • 15
    • 0035688158 scopus 로고    scopus 로고
    • Design and performance evaluation of some high-rate irregular low-density parity-check codes
    • M. Chiani and A. Ventura, "Design and performance evaluation of some high-rate irregular low-density parity-check codes," in Proc. 2001 IEEE GLOBECOM Conf., Nov. 2001, pp. 990-994.
    • Proc. 2001 IEEE GLOBECOM Conf., Nov. 2001 , pp. 990-994
    • Chiani, M.1    Ventura, A.2
  • 16
    • 2442590747 scopus 로고    scopus 로고
    • Design of efficient encodable moderate-length high-rate irregular LDPC codes
    • Apr.
    • M. Yang, W. E. Ryan, and Y. Li, "Design of efficient encodable moderate-length high-rate irregular LDPC codes," IEEE Trans. Commun., vol. 52, pp. 564-571, Apr. 2004.
    • (2004) IEEE Trans. Commun. , vol.52 , pp. 564-571
    • Yang, M.1    Ryan, W.E.2    Li, Y.3
  • 27
    • 2942659753 scopus 로고    scopus 로고
    • Combinatorial constructions of low-density parity-check codes for iterative decoding
    • June
    • B. Basic, "Combinatorial constructions of low-density parity-check codes for iterative decoding," IEEE Trans. Inform. Theory, vol. 50, pp. 1156-1176, June 2004.
    • (2004) IEEE Trans. Inform. Theory , vol.50 , pp. 1156-1176
    • Basic, B.1
  • 30
    • 0037325876 scopus 로고    scopus 로고
    • A family of irregular LDPC codes with low encoding complexity
    • Feb.
    • ____, "A family of irregular LDPC codes with low encoding complexity," IEEE Commun. Lett., vol. 7, pp. 79-81, Feb. 2003.
    • (2003) IEEE Commun. Lett. , vol.7 , pp. 79-81
    • Johnson, S.J.1    Weller, S.R.2
  • 31
    • 0042092025 scopus 로고    scopus 로고
    • Construction of low-density parity-check codes based on Reed-Solomon codes with two information symbols
    • July
    • I. Djurdjevic, J. Xu, K. Abdel-Ghaffar, and S. Lin, "Construction of low-density parity-check codes based on Reed-Solomon codes with two information symbols," IEEE Commun. Lett., vol. 7, pp. 317-319, July 2003.
    • (2003) IEEE Commun. Lett. , vol.7 , pp. 317-319
    • Djurdjevic, I.1    Xu, J.2    Abdel-Ghaffar, K.3    Lin, S.4
  • 35
    • 15544386457 scopus 로고    scopus 로고
    • Construction of low-density parity-check codes by superposition
    • submitted for publication
    • J. Xu, L. Chen, H. Tang, L. Q. Zeng, and S. Lin, "Construction of low-density parity-check codes by superposition," IEEE Trans. Commun., submitted for publication.
    • IEEE Trans. Commun.
    • Xu, J.1    Chen, L.2    Tang, H.3    Zeng, L.Q.4    Lin, S.5
  • 37
    • 2942640145 scopus 로고    scopus 로고
    • On algebraic construction of Gallager and circulant low-density parity-check codes
    • June
    • H. Tang, J. Xu, Y. Kou, S. Lin, and K. Abdel-Ghaffar, "On algebraic construction of Gallager and circulant low-density parity-check codes," IEEE Trans. Inform. Theory, vol. 50, pp. 1269-1279, June 2004.
    • (2004) IEEE Trans. Inform. Theory , vol.50 , pp. 1269-1279
    • Tang, H.1    Xu, J.2    Kou, Y.3    Lin, S.4    Abdel-Ghaffar, K.5
  • 38
    • 29244438544 scopus 로고    scopus 로고
    • Efficient encoding of quasicyclic low density parity check codes
    • submitted for publication
    • Z. W. Li, L. Chen, and S. Lin, "Efficient encoding of quasicyclic low density parity check codes," IEEE Trans. Commun., submitted for publication.
    • IEEE Trans. Commun.
    • Li, Z.W.1    Chen, L.2    Lin, S.3
  • 39
    • 0001218249 scopus 로고
    • On the construction of balanced incomplete block designs
    • R. C. Bose, "On the construction of balanced incomplete block designs," Ann. Eugenics 9, pp. 353-399, 1939.
    • (1939) Ann. Eugenics 9 , pp. 353-399
    • Bose, R.C.1
  • 44
    • 84972522455 scopus 로고
    • On the p-rank of the incidence matrix of a balance or partial balanced incomplete block designs and its application to error correcting codes
    • N. Hamada, "On the p-rank of the incidence matrix of a balance or partial balanced incomplete block designs and its application to error correcting codes," J. Hiroshima Math., no. 3, pp. 153-226, 1973.
    • (1973) J. Hiroshima Math. , Issue.3 , pp. 153-226
    • Hamada, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.