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Volumn 42, Issue 2, 2006, Pages 77-89

Spectral approach to linear programming bounds on codes

Author keywords

[No Author keywords available]

Indexed keywords

BINARY CODES; EIGENVALUES AND EIGENFUNCTIONS; LINEAR PROGRAMMING; MATHEMATICAL OPERATORS; POLYNOMIAL APPROXIMATION; SPECTRUM ANALYSIS;

EID: 33745850459     PISSN: 00329460     EISSN: 16083253     Source Type: Journal    
DOI: 10.1134/S0032946006020025     Document Type: Article
Times cited : (13)

References (11)
  • 1
    • 85041979556 scopus 로고
    • An Algebraic Approach to the Association Schemes of Coding Theory
    • Delsarte, P., An Algebraic Approach to the Association Schemes of Coding Theory, Philips Res. Rep. Suppl., 1973, no. 10.
    • (1973) Philips Res. Rep. Suppl. , Issue.10
    • Delsarte, P.1
  • 2
    • 0017468074 scopus 로고
    • New Upper Bounds on the Rate of a Code via the Delsarte-MacWilliams Inequalities
    • McEliece, R.J., Rodemich, E.R., Rumsey, H., Jr., and Welch, L.R., New Upper Bounds on the Rate of a Code via the Delsarte-MacWilliams Inequalities, IEEE Trans. Inform. Theory, 1977, vol. 23, no. 2, pp. 157-166.
    • (1977) IEEE Trans. Inform. Theory , vol.23 , Issue.2 , pp. 157-166
    • McEliece, R.J.1    Rodemich, E.R.2    Rumsey Jr., H.3    Welch, L.R.4
  • 3
    • 0002468740 scopus 로고
    • Bounds for Packings on a Sphere and in Space
    • [Probl. Inf. Trans. (Engl. Transl.), 1978, vol. 14, no. 1, pp. 1-17]
    • Kabatianski, G.A. and Levenshtein, V.I., Bounds for Packings on a Sphere and in Space, Probl. Peredachi Inf., 1978, vol. 14, no. 1, pp. 3-25 [Probl. Inf. Trans. (Engl. Transl.), 1978, vol. 14, no. 1, pp. 1-17].
    • (1978) Probl. Peredachi Inf. , vol.14 , Issue.1 , pp. 3-25
    • Kabatianski, G.A.1    Levenshtein, V.I.2
  • 4
    • 0002613871 scopus 로고
    • Bounds on Packings of Metric Spaces and Some of Their Applications
    • Levenshtein, V.I., Bounds on Packings of Metric Spaces and Some of Their Applications, Probl. Kibern., 1983, vol. 40, pp. 43-110.
    • (1983) Probl. Kibern. , vol.40 , pp. 43-110
    • Levenshtein, V.I.1
  • 5
    • 0001646530 scopus 로고    scopus 로고
    • Universal Bounds for Codes and Designs
    • Pless, V.S. and Huffman, W.C., Eds., Amsterdam: Elsevier
    • Levenshtein, V.I., Universal Bounds for Codes and Designs, Handbook of Coding Theory, Pless, V.S. and Huffman, W.C., Eds., Amsterdam: Elsevier, 1998, vol. I, pp. 499-648.
    • (1998) Handbook of Coding Theory , vol.1 , pp. 499-648
    • Levenshtein, V.I.1
  • 6
    • 33646039337 scopus 로고    scopus 로고
    • Linear Programming Bounds for Codes in Grassmannian Spaces
    • Bachoc, C., Linear Programming Bounds for Codes in Grassmannian Spaces, IEEE Trans. Inform. Theory, 2006, vol. 52, no. 5, pp. 2111-2125.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , Issue.5 , pp. 2111-2125
    • Bachoc, C.1
  • 7
    • 0004073954 scopus 로고
    • New York: AMS. Translated under the title Ortogonal'nye mnogochleny, Moscow: Fizmatlit, 1962
    • Szegö, G., Orthogonal Polynomials, New York: AMS, 1959. Translated under the title Ortogonal'nye mnogochleny, Moscow: Fizmatlit, 1962.
    • (1959) Orthogonal Polynomials
    • Szegö, G.1
  • 8
    • 0007046585 scopus 로고
    • Moscow: Nauka, 4th ed. Translated under the title The Theory of Matrices, 2 vols., Providence: AMS Chelsea, 1998
    • Gantmakher, F.R., Teoriya matrits, Moscow: Nauka, 1988, 4th ed. Translated under the title The Theory of Matrices, 2 vols., Providence: AMS Chelsea, 1998.
    • (1988) Teoriya Matrits
    • Gantmakher, F.R.1
  • 9
    • 0000968479 scopus 로고
    • Bound on the Extremal Zeros of Orthogonal Polynomials
    • Ismail, M.E. and Li, X., Bound on the Extremal Zeros of Orthogonal Polynomials, Proc. AMS, 1992, vol. 113, no. 1, pp. 131-140.
    • (1992) Proc. AMS , vol.113 , Issue.1 , pp. 131-140
    • Ismail, M.E.1    Li, X.2
  • 10
    • 0029378543 scopus 로고
    • Krawtchouk Polynomials and Universal Bounds for Codes and Designs in Hamming Spaces
    • Levenshtein, V.I., Krawtchouk Polynomials and Universal Bounds for Codes and Designs in Hamming Spaces, IEEE Trans. Inform. Theory, 1995, vol. 41, no. 5, pp. 1303-1321.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , Issue.5 , pp. 1303-1321
    • Levenshtein, V.I.1
  • 11
    • 0010565943 scopus 로고    scopus 로고
    • Bounds for the Extreme Roots of Orthogonal Polynomials
    • Foster, W.H. and Krasikov, I., Bounds for the Extreme Roots of Orthogonal Polynomials, Int. J. Math. Algorithms, 2000, vol. 2, pp. 121-132.
    • (2000) Int. J. Math. Algorithms , vol.2 , pp. 121-132
    • Foster, W.H.1    Krasikov, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.