메뉴 건너뛰기




Volumn 56, Issue 4, 2008, Pages 545-554

Constructions of nonbinary quasi-cyclic LDPC codes: A finite field approach

Author keywords

Berlekamp Massey algorithm; Dispersion; K tter Vardy algorithm; Location vector; Quasi cyclic LDPC code; Superposition

Indexed keywords

BOOLEAN ALGEBRA; CODES (STANDARDS); COMMUNICATION CHANNELS (INFORMATION THEORY); DECODING; FAST FOURIER TRANSFORMS; FOURIER TRANSFORMS; ITERATIVE DECODING; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PROGRAMMING THEORY; REED-SOLOMON CODES;

EID: 49149097182     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2008.060024     Document Type: Article
Times cited : (119)

References (26)
  • 1
    • 84925405668 scopus 로고
    • Low density parity check codes
    • Jan
    • R. G. Gallager, "Low density parity check codes," IRE Trans. Inform. Theory, 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
    • Aug
    • 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, Aug. 1996.
    • (1996) Electron. Lett , vol.32 , pp. 1645-1646
    • MacKay, D.J.C.1    Neal, R.M.2
  • 3
    • 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
    • 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. 27, pp. 533-547, Sept. 1981.
    • (1981) IEEE Trans. Inform. Theory , vol.27 , pp. 533-547
    • Tanner, R.M.1
  • 7
    • 0035246307 scopus 로고    scopus 로고
    • The capacity of low-density parity-check codes under message-passing decoding
    • Feb
    • T. 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.1    Urbanke, R.2
  • 8
    • 0035246128 scopus 로고    scopus 로고
    • Analysis of sum-product decoding of low-density parity-check codes using Gaussian approximation
    • Feb
    • S. Y. Chung, T. Richardson, and R. Urbanke, "Analysis of sum-product decoding of low-density parity-check codes using Gaussian approximation," IEEE Trans. Inform. Theory, vol. 47, pp. 657-670, Feb. 2001.
    • (2001) IEEE Trans. Inform. Theory , vol.47 , pp. 657-670
    • Chung, S.Y.1    Richardson, T.2    Urbanke, R.3
  • 9
    • 0035504019 scopus 로고    scopus 로고
    • Low density parity check codes based on finite geometries: A discovery and new results
    • Nov
    • Y. Kou, S. Lin, and M. Fossorier, "Low density parity check codes based on finite geometries: A discovery 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
  • 10
    • 0032099205 scopus 로고    scopus 로고
    • Low density parity check codes over GF (q)
    • June
    • M. Davey and D. J. C. MacKay, "Low density parity check codes over GF (q)," IEEE Commun. Lett., vol. 2, no. 6, pp. 165-167, June 1998.
    • (1998) IEEE Commun. Lett , vol.2 , Issue.6 , pp. 165-167
    • Davey, M.1    MacKay, D.J.C.2
  • 12
    • 84922337749 scopus 로고    scopus 로고
    • Fast decoding algorithm for LDPC over GF(2q)
    • Paris, France, Mar
    • L. Barnault and D. Declercq, "Fast decoding algorithm for LDPC over GF(2q)," in Proc. ITW2003, pp. 70-73, Paris, France, Mar. 2003.
    • (2003) Proc. ITW2003 , pp. 70-73
    • Barnault, L.1    Declercq, D.2
  • 13
    • 49149097995 scopus 로고    scopus 로고
    • D. Declercq and M. Fossorier, Decoding algorithms for nonbinary LDPC codes over GF(q), submitted to IEEE Trans. Commun., 2005.
    • D. Declercq and M. Fossorier, "Decoding algorithms for nonbinary LDPC codes over GF(q)," submitted to IEEE Trans. Commun., 2005.
  • 14
    • 31344477491 scopus 로고    scopus 로고
    • Efficient encoding of quasi-cyclic low-density parity-check codes
    • Jan
    • Z.-W. Li, L. Chen, L.-Q. Zeng, S. Lin, and W. Fong, "Efficient encoding of quasi-cyclic low-density parity-check codes," IEEE Trans. Commun. vol. 54., pp. 71-81, Jan. 2006.
    • (2006) IEEE Trans. Commun , vol.54 , pp. 71-81
    • Li, Z.-W.1    Chen, L.2    Zeng, L.-Q.3    Lin, S.4    Fong, W.5
  • 15
    • 0000292532 scopus 로고
    • Codes corecteurs d'erreurs
    • A. Hocquenghem, "Codes corecteurs d'erreurs," Chiffres, vol. 2, pp. 147-156, 1959
    • (1959) Chiffres , vol.2 , pp. 147-156
    • Hocquenghem, A.1
  • 16
    • 50549175697 scopus 로고
    • On a class of error-correcting binary group codes
    • Mar
    • R. C. Bose and D. K. Ray-Chaudhuri, "On a class of error-correcting binary group codes," Inform. Control, vol. 3, pp. 68-79, Mar. 1960.
    • (1960) Inform. Control , vol.3 , pp. 68-79
    • Bose, R.C.1    Ray-Chaudhuri, D.K.2
  • 17
    • 0001174154 scopus 로고
    • Polynomial code over certain finite fields
    • June
    • I. S. Reed and G. Solomon, "Polynomial code over certain finite fields," J. Soc. Ind. Appl. Math., vol. 8, pp. 300-304, June 1960.
    • (1960) J. Soc. Ind. Appl. Math , vol.8 , pp. 300-304
    • Reed, I.S.1    Solomon, G.2
  • 19
    • 49149095430 scopus 로고    scopus 로고
    • L. Lan, L.-Q. Zeng, Y. Y. Tai, S. Lin, and K. Abdel-Ghaffar, Constructions of quasi-cyclic LDPC codes for the AWGN and binary erasure channels based on finite fields and affine mappings, in Proc. IEEE International Symposium on Information Theory, Adelaide, Australia, Sept. 2005, and also submitted to IEEE Trans. Inform. Theory, 2006.
    • L. Lan, L.-Q. Zeng, Y. Y. Tai, S. Lin, and K. Abdel-Ghaffar, "Constructions of quasi-cyclic LDPC codes for the AWGN and binary erasure channels based on finite fields and affine mappings," in Proc. IEEE International Symposium on Information Theory, Adelaide, Australia, Sept. 2005, and also submitted to IEEE Trans. Inform. Theory, 2006.
  • 20
    • 49149087460 scopus 로고    scopus 로고
    • S. Lin and D. J. Costello, Jr., Error Control Coding: Fundamentals and Applications, 2nd edition. Prentice Hall, 2004.
    • S. Lin and D. J. Costello, Jr., Error Control Coding: Fundamentals and Applications, 2nd edition. Prentice Hall, 2004.
  • 22
    • 84937740421 scopus 로고
    • Shift-register synthesis and BCH decoding
    • Jan
    • J. L. Massey, "Shift-register synthesis and BCH decoding," IEEE Trans. Inform. Theory, vol. 15, no. 1, pp. 122-127, Jan. 1969.
    • (1969) IEEE Trans. Inform. Theory , vol.15 , Issue.1 , pp. 122-127
    • Massey, J.L.1
  • 23
    • 0345306775 scopus 로고    scopus 로고
    • Algebraic soft-decision decoding of Reed-Solomon codes
    • Nov
    • R. Kötter and A. Vardy, "Algebraic soft-decision decoding of Reed-Solomon codes," IEEE Trans. Inform. Theory, vol. 49, no. 11, pp. 2809-2825, Nov. 2003.
    • (2003) IEEE Trans. Inform. Theory , vol.49 , Issue.11 , pp. 2809-2825
    • Kötter, R.1    Vardy, A.2
  • 24
    • 33644990680 scopus 로고    scopus 로고
    • Iterative algebraic soft-decision list decoding of RS codes
    • Mar
    • M. El-Khamy and R. McEliece, "Iterative algebraic soft-decision list decoding of RS codes," IEEE J. Select. Areas Commun., vol. 24, pp. 481-490, Mar. 2006.
    • (2006) IEEE J. Select. Areas Commun , vol.24 , pp. 481-490
    • El-Khamy, M.1    McEliece, R.2
  • 25
    • 33746355584 scopus 로고    scopus 로고
    • Applications of algebraic soft-decision decoding of RS codes
    • July
    • W. J. Gross, F. R. Kschischang, R. Kotter, and G. G. Gulak, "Applications of algebraic soft-decision decoding of RS codes," IEEE Trans. Commun., vol. 54, no. 7, pp. 1224-1234, July 2006.
    • (2006) IEEE Trans. Commun , vol.54 , Issue.7 , pp. 1224-1234
    • Gross, W.J.1    Kschischang, F.R.2    Kotter, R.3    Gulak, G.G.4
  • 26
    • 15544386457 scopus 로고    scopus 로고
    • Construction of low-density parity-check codes by superposition
    • Feb
    • J. Xu, L. Chen, L.-Q. Zeng, L. Lan, and S. Lin, "Construction of low-density parity-check codes by superposition," IEEE Trans. Commun vol. 53, no. 2, pp. 243-251, Feb. 2005.
    • (2005) IEEE Trans. Commun , vol.53 , Issue.2 , pp. 243-251
    • Xu, J.1    Chen, L.2    Zeng, L.-Q.3    Lan, L.4    Lin, S.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.