메뉴 건너뛰기




Volumn 45, Issue 6, 1999, Pages 1808-1816

On relations between covering radius and dual distance

Author keywords

Constant weight codes; Covering radius; Dual distance; Krawtchouk polynomial

Indexed keywords

DECODING; ERROR CORRECTION; PARAMETER ESTIMATION; POLYNOMIALS; SET THEORY;

EID: 0033184629     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.782101     Document Type: Article
Times cited : (12)

References (31)
  • 1
    • 33747236030 scopus 로고    scopus 로고
    • "Bounds on the information rate of tree code as a function on the code's feedback decoding minimum distance," vol. 181, pp. 1-168, 1981.
    • M. Aaltonen, "Bounds on the information rate of tree code as a function on the code's feedback decoding minimum distance," Ann. Univ. Turku A I, vol. 181, pp. 1-168, 1981.
    • Ann. Univ. Turku A i
    • Aaltonen, M.1
  • 2
    • 38249016502 scopus 로고    scopus 로고
    • "A new upper bound on nonbinary block codes," vol. 83, pp. 139-160, 1990.
    • M. Aaltonen, "A new upper bound on nonbinary block codes," Discr. Math., vol. 83, pp. 139-160, 1990.
    • Discr. Math.
    • Aaltonen, M.1
  • 4
    • 0002598638 scopus 로고    scopus 로고
    • "Diameter, covering index, covering radius and eigenvalues," vol. 12, pp. 95-108, 1991.
    • C. Delorme and P. Sole, "Diameter, covering index, covering radius and eigenvalues," European J. Combin., vol. 12, pp. 95-108, 1991.
    • European J. Combin.
    • Delorme, C.1    Sole, P.2
  • 5
    • 0015735548 scopus 로고    scopus 로고
    • "Four fundamental parameters of a code and their combinatorial significance," vol. 23, pp. 407-438, 1973.
    • P. Delsarte, "Four fundamental parameters of a code and their combinatorial significance," Inform. Contr., vol. 23, pp. 407-438, 1973.
    • Inform. Contr.
    • Delsarte, P.1
  • 7
    • 0011656656 scopus 로고    scopus 로고
    • "On upper bounds for code distance and covering radius of designs in polynomial metric spaces," vol. 70, pp. 267-288, 1995.
    • G. Fazekas and V. I. Levenshtein, "On upper bounds for code distance and covering radius of designs in polynomial metric spaces," J. Comb. Theory A, vol. 70, pp. 267-288, 1995.
    • J. Comb. Theory A
    • Fazekas, G.1    Levenshtein, V.I.2
  • 11
    • 0022092605 scopus 로고    scopus 로고
    • "A modification of the Zinoviev lower bound for constant weight codes," vol. 11, pp. 307-310, 1985.
    • I. Honkala, H. Hämäläinen, and M. Kaikkonen, "A modification of the Zinoviev lower bound for constant weight codes," Discr. Appl. Math., vol. 11, pp. 307-310, 1985.
    • Discr. Appl. Math.
    • Honkala, I.1    Hämäläinen, H.2    Kaikkonen, M.3
  • 12
    • 0029375651 scopus 로고    scopus 로고
    • "On the distance distribution of codes," vol. 41, pp. 1467-1472, 1995.
    • G. Kalai and N. Linial, "On the distance distribution of codes," IEEE Trans. Inform. Theory, vol. 41, pp. 1467-1472, 1995.
    • IEEE Trans. Inform. Theory
    • Kalai, G.1    Linial, N.2
  • 13
    • 0031142146 scopus 로고    scopus 로고
    • "Estimates for the range of binomiality in codes' spectra," vol. 43, pp. 987-991, 1997.
    • I. Krasikov and S. Litsyn, "Estimates for the range of binomiality in codes' spectra," IEEE. Trans. Inform. Theory, vol. 43, pp. 987-991, 1997.
    • IEEE. Trans. Inform. Theory
    • Krasikov, I.1    Litsyn, S.2
  • 14
    • 84890395442 scopus 로고    scopus 로고
    • "Covering radius of self-complementary codes and BCH codes," in 1998 IEEE Int. Symp. Information Theory (Cambridge, MA, August 16-21), p. 434.
    • T. Laihonen, "Covering radius of self-complementary codes and BCH codes," in Proc. 1998 IEEE Int. Symp. Information Theory (Cambridge, MA, August 16-21), p. 434.
    • Proc.
    • Laihonen, T.1
  • 16
    • 0005821318 scopus 로고    scopus 로고
    • "On upper bounds for minimum distance and covering radius of nonbinary codes," vol. 14, pp. 71-80, 1998.
    • T. Laihonen and S. Litsyn, "On upper bounds for minimum distance and covering radius of nonbinary codes," Des. Codes Cryptogr., vol. 14, pp. 71-80, 1998.
    • Des. Codes Cryptogr.
    • Laihonen, T.1    Litsyn, S.2
  • 17
    • 33747263803 scopus 로고    scopus 로고
    • "New bounds on covering radius as a function of dual distance,"
    • "New bounds on covering radius as a function of dual distance," SIAM J. Discr. Math., to be published.
    • SIAM J. Discr. Math., to Be Published.
  • 18
    • 33747238845 scopus 로고    scopus 로고
    • "Upper-bound estimates for fixed-weight codes," vol. 7, pp. 281-287, 1974.
    • V. I. Levenshtein, "Upper-bound estimates for fixed-weight codes," Probl. Inform. Transm.. vol. 7, pp. 281-287, 1974.
    • Probl. Inform. Transm..
    • Levenshtein, V.I.1
  • 19
    • 0016543295 scopus 로고    scopus 로고
    • "On the minimal redundancy of binary error-correcting codes," vol. 28, pp. 268-281, 1975.
    • "On the minimal redundancy of binary error-correcting codes," Inform. Contr., vol. 28, pp. 268-281, 1975.
    • Inform. Contr.
  • 23
    • 0038969878 scopus 로고    scopus 로고
    • "Upper bounds on the covering radius of a code with a given dual distance," vol. 173, pp. 265-270, 1996.
    • S. Litsyn and A. Tietäväinen, "Upper bounds on the covering radius of a code with a given dual distance," European J. Combin., vol. 173, pp. 265-270, 1996.
    • European J. Combin.
    • Litsyn, S.1    Tietäväinen, A.2
  • 27
    • 0016543285 scopus 로고    scopus 로고
    • "Upper bounds on the cardinality of binary code with a given minimum distance," vol. 28, pp. 292-303, 1975.
    • V. Sidelnikov, "Upper bounds on the cardinality of binary code with a given minimum distance," Inform. Contr., vol. 28, pp. 292-303, 1975.
    • Inform. Contr.
    • Sidelnikov, V.1
  • 28
    • 0025522795 scopus 로고    scopus 로고
    • "Asymptotic bounds on the covering radius of binary codes," vol. 36, pp. 1470-1472, 1990.
    • P. Sole, "Asymptotic bounds on the covering radius of binary codes," IEEE Trans. Inform. Theory, vol. 36, pp. 1470-1472, 1990.
    • IEEE Trans. Inform. Theory
    • Sole, P.1
  • 29
    • 0027629032 scopus 로고    scopus 로고
    • "Covering radius, codimension, and dual-distance width," vol. 39, pp. 1195-1203, 1993.
    • P. Sole and P. Stokes, "Covering radius, codimension, and dual-distance width," IEEE Trans. Inform. Theory, vol. 39, pp. 1195-1203, 1993.
    • IEEE Trans. Inform. Theory
    • Sole, P.1    Stokes, P.2
  • 30
    • 0025519421 scopus 로고    scopus 로고
    • "An upper bound on the covering radius as a function of its dual distance," vol. 36, pp. 1472-1474, 1990.
    • A. Tietäväinen, "An upper bound on the covering radius as a function of its dual distance," IEEE Trans. Inform. Theory, vol. 36, pp. 1472-1474, 1990.
    • IEEE Trans. Inform. Theory
    • Tietäväinen, A.1
  • 31
    • 0041010738 scopus 로고    scopus 로고
    • "Covering radius and dual distance," vol. 1, pp. 31-46, 1991.
    • "Covering radius and dual distance," Des. Codes Cryptogr., vol. 1, pp. 31-46, 1991.
    • Des. Codes Cryptogr.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.