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Volumn 14, Issue 1, 1998, Pages 71-80

On Upper Bounds for Minimum Distance and Covering Radius of Non-binary Codes

Author keywords

Asymptotic information rate; Covering radius; Dual distance; Minimum distance

Indexed keywords


EID: 0005821318     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008260505585     Document Type: Article
Times cited : (22)

References (22)
  • 1
    • 77956681397 scopus 로고
    • Bounds on the information rate of a tree code as a function on the code's feedback decoding minimum distance
    • M. Aaltonen, Bounds on the information rate of a tree code as a function on the code's feedback decoding minimum distance, Ann. Univ. Turku. Ser. A I, Vol. 181 (1981).
    • (1981) Ann. Univ. Turku. Ser. A I , vol.181
    • Aaltonen, M.1
  • 2
    • 38249016502 scopus 로고
    • A new upper bound on nonbinary block codes
    • M. Aaltonen, A new upper bound on nonbinary block codes, Discrete Math., Vol. 83 (1990), pp. 139-160.
    • (1990) Discrete Math. , vol.83 , pp. 139-160
    • Aaltonen, M.1
  • 3
    • 0001186333 scopus 로고
    • An upper bound on the diameter of a graph from eigenvalues associated with its Laplacian
    • F. R. K. Chung, V. Faber and T. A. Manteuffel, An upper bound on the diameter of a graph from eigenvalues associated with its Laplacian, SIAM J. Discr. Math., Vol. 7 (1994) pp. 443-457.
    • (1994) SIAM J. Discr. Math. , vol.7 , pp. 443-457
    • Chung, F.R.K.1    Faber, V.2    Manteuffel, T.A.3
  • 6
    • 0002598638 scopus 로고
    • Diameter, covering index, covering radius and eigenvalues
    • C. Delorme and P. Solé, Diameter, covering index, covering radius and eigenvalues, Europ. J. Combin., Vol 12 (1991) pp. 95-108.
    • (1991) Europ. J. Combin. , vol.12 , pp. 95-108
    • Delorme, C.1    Solé, P.2
  • 7
    • 0015735548 scopus 로고
    • Four fundamental parameters of a code and their combinatorial significance
    • P. Delsarte, Four fundamental parameters of a code and their combinatorial significance, Information and Control, Vol. 23 (1973) pp. 407-438.
    • (1973) Information and Control , vol.23 , pp. 407-438
    • Delsarte, P.1
  • 9
    • 84955605118 scopus 로고
    • On algebraic methods in covering radius problems
    • Cohen, G., Giusti M., Mora, T. (eds.) Lecture Notes in Computer Science, Berlin, Heidelberg, New York: Springer
    • I. Honkala, S. Litsyn, and A. Tietäväinen, On algebraic methods in covering radius problems, In: Cohen, G., Giusti M., Mora, T. (eds.) Applied Algebra, Albegraic Algorithms and Error-Correcting Codes. Lecture Notes in Computer Science, Vol 948. Berlin, Heidelberg, New York: Springer (1995).
    • (1995) Applied Algebra, Albegraic Algorithms and Error-Correcting Codes , vol.948
    • Honkala, I.1    Litsyn, S.2    Tietäväinen, A.3
  • 11
    • 0038969878 scopus 로고    scopus 로고
    • Upper bounds on the covering radius of a code with a given dual distance
    • S. Litsyn and A. Tietäväinen, Upper bounds on the covering radius of a code with a given dual distance, Europ. J. Combin., vol. 17 (1996) pp. 265-270.
    • (1996) Europ. J. Combin. , vol.17 , pp. 265-270
    • Litsyn, S.1    Tietäväinen, A.2
  • 14
    • 0017468074 scopus 로고
    • New upper bounds on the rate of a code via Delsarte-MacWilliams inequalities
    • R. McEliece, E. Rodemich, H. Jr. Rumsey and L. Welch, New upper bounds on the rate of a code via Delsarte-MacWilliams inequalities, IEEE Trans. Inform. Theory, Vol. 23 (1977) pp. 157-167.
    • (1977) IEEE Trans. Inform. Theory , vol.23 , pp. 157-167
    • McEliece, R.1    Rodemich, E.2    Rumsey Jr., H.3    Welch, L.4
  • 16
    • 49949135590 scopus 로고
    • Lower bounds to error probability for coding on discrete memoryless channels. II
    • C. E. Shannon, R. G. Gallager and E. R. Berlekamp, Lower bounds to error probability for coding on discrete memoryless channels. II, Information and Control, Vol. 10, (1967), pp. 522-552.
    • (1967) Information and Control , vol.10 , pp. 522-552
    • Shannon, C.E.1    Gallager, R.G.2    Berlekamp, E.R.3
  • 17
    • 0025522795 scopus 로고
    • Asymptotic bounds on the covering radius of binary codes
    • P. Solé, Asymptotic bounds on the covering radius of binary codes, IEEE Trans. Inform. Theory, Vol. 36, (1990), pp. 1470-1472.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 1470-1472
    • Solé, P.1
  • 18
    • 0025993180 scopus 로고
    • Generalization of the Norse bounds to codes of higher strength
    • P. Solé and K. Mehrotra, Generalization of the Norse bounds to codes of higher strength, IEEE Trans. Inform. Theory, Vol. 37 (1991) pp. 190-192.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 190-192
    • Solé, P.1    Mehrotra, K.2
  • 19
    • 0027629032 scopus 로고
    • Covering radius, codimension, and dual-distance width
    • P. Solé and P. Stokes, Covering radius, codimension, and dual-distance width, IEEE Trans. Inform. Theory, Vol. 39 (1993) pp. 1195-1203.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 1195-1203
    • Solé, P.1    Stokes, P.2
  • 20
    • 0003199229 scopus 로고
    • Colloquium Publications, American Math. Soc., Providence, RI
    • G. Szegö, Orthogonal Polynomials, Colloquium Publications, vol. 23, American Math. Soc., Providence, RI (1975).
    • (1975) Orthogonal Polynomials , vol.23
    • Szegö, G.1
  • 21
    • 0025519421 scopus 로고
    • An upper bound on the covering radius as a function of its dual distance
    • A. Tietäväinen, An upper bound on the covering radius as a function of its dual distance, IEEE Trans. Inform. Theory, Vol. 36 (1990) pp. 1472-1474.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 1472-1474
    • Tietäväinen, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.