메뉴 건너뛰기




Volumn 948, Issue , 1995, Pages 21-32

On algebraic methods in covering radius problems

Author keywords

[No Author keywords available]

Indexed keywords

CODES (SYMBOLS);

EID: 84955605118     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (10)

References (36)
  • 1
    • 0010137790 scopus 로고
    • Some 3-error-correcting BCH codes have covering radius 5
    • E. F. Assmus, Jr. and H. F. Mattson, Jr., "Some 3-error-correcting BCH codes have covering radius 5," IEEE Trans. Inform. Theory 22 (1976), 348-349.
    • (1976) IEEE Trans. Inform. Theory , vol.22 , pp. 348-349
    • Assmus, E.F.1    Mattson, H.F.2
  • 2
    • 84956561718 scopus 로고
    • Bounds for exponential sums
    • L. Carlitz and S. Uchiyama, "Bounds for exponential sums,"-Duke Math. J. 24 (1957) 37-41.
    • (1957) Duke Math. J , vol.24 , pp. 37-41
    • Carlitz, L.1    Uchiyama, S.2
  • 4
    • 0002598638 scopus 로고
    • Diameter, covering index, covering radius and eigenvalues
    • C. Delorme and P. Sole, Diameter, covering index, covering radius and eigenvalues, Europ. J. Combin. 12 (1991), 95-108.
    • (1991) Europ. J. Combin , vol.12 , pp. 95-108
    • Delorme, C.1    Sole, P.2
  • 5
    • 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 23 (1973), 407-438.
    • (1973) Information and Control , vol.23 , pp. 407-438
    • Delsarte, P.1
  • 6
    • 0038956521 scopus 로고
    • Two-error correcting Bose-Chaudhury codes are quasi-perfect
    • D. C. Gorenstein, W. W. Peterson and N. Zierler, "Two-error correcting Bose-Chaudhury codes are quasi-perfect," Inform, and Control 3 (1960), 291-294.
    • (1960) Inform, and Control , vol.3 , pp. 291-294
    • Gorenstein, D.C.1    Peterson, W.W.2    Zierler, N.3
  • 8
    • 0022077547 scopus 로고
    • On the covering radius of cyclic linear codes and aritheoremetic codes
    • T. Helleseth, On the covering radius of cyclic linear codes and aritheoremetic codes, Discrete Appl. Math. 11 (1985), 157-173.
    • (1985) Discrete Appl. Math , vol.11 , pp. 157-173
    • Helleseth, T.1
  • 11
    • 0000342923 scopus 로고    scopus 로고
    • Codes and number theory
    • Eds. R.A. Brualdi, W.C. Huffman, and V.S. Pless, to appear
    • I. Honkala and A. Tietäväinen, "Codes and number theory," in: Handbook of Coding Theory, Eds. R. A. Brualdi, W. C. Huffman, and V. S. Pless, to appear.
    • Handbook of Coding Theory
    • Honkala, I.1    Tietäväinen, A.2
  • 12
    • 0016926197 scopus 로고
    • Complete decoding of triple-error-correcting binary BCH codes
    • J. A. van der Horst and T. Berger, "Complete decoding of triple-error-correcting binary BCH codes," IEEE Trans. Inform. Theory 22 (1976), 138-147.
    • (1976) IEEE Trans. Inform. Theory , vol.22 , pp. 138-147
    • van der Horst, J.A.1    Berger, T.2
  • 13
    • 3342977078 scopus 로고
    • Licentiate Thesis, University of Turku, (in Finnish)
    • Y. Kaipainen, "Chow variety," Licentiate Thesis, University of Turku, 1993 (in Finnish).
    • (1993) Chow variety
    • Kaipainen, Y.1
  • 14
    • 0001018621 scopus 로고
    • Number of points of varieties in finite fields
    • S. Lang and A. Weil, "Number of points of varieties in finite fields," Amer. J. Math. 76 (1954), 819-827.
    • (1954) Amer. J. Math , vol.76 , pp. 819-827
    • Lang, S.1    Weil, A.2
  • 18
    • 84955579647 scopus 로고    scopus 로고
    • Upper bounds on the covering radius of a code with a given dual distance
    • to appear
    • S. Litsyn and A. Tietäväinen, Upper bounds on the covering radius of a code with a given dual distance, Europ. J. Comb., to appear.
    • Europ. J. Comb
    • Litsyn, S.1    Tietäväinen, A.2
  • 20
  • 22
    • 0027168064 scopus 로고    scopus 로고
    • The MacWilliams-Sloane conjecture on the tightness of the Carlitz-Uchiyama bound and the weights of duals of BCH codes
    • to appear
    • O. Moreno and C. J. Moreno, "The MacWilliams-Sloane conjecture on the tightness of the Carlitz-Uchiyama bound and the weights of duals of BCH codes," IEEE Trans. Inform. Theory, to appear.
    • IEEE Trans. Inform. Theory
    • Moreno, O.1    Moreno, C.J.2
  • 24
    • 1842677729 scopus 로고
    • Addition to the Russian translation of [8]
    • (in Russian)
    • I. E. Shparlinski, Addition to the Russian translation of [8], Kiberneticheskiy sbornik 25 (1985), 82-84 (in Russian).
    • (1985) Kiberneticheskiy sbornik , vol.25 , pp. 82-84
    • Shparlinski, I.E.1
  • 25
    • 0025522795 scopus 로고
    • Asymptotic bounds on the covering radius of binary codes
    • P. Sole, Asymptotic bounds on the covering radius of binary codes, IEEE Trans. Information Theory 36 (1990), 1470-1472.
    • (1990) IEEE Trans. Information Theory , vol.36 , pp. 1470-1472
    • Sole, P.1
  • 26
    • 0025993180 scopus 로고
    • Generalization of the Norse bounds to codes of higher strength
    • P. Sole and K. G. Mehrotra, Generalization of the Norse bounds to codes of higher strength, IEEE Trans. Information Theory 37 (1991), 190-192.
    • (1991) IEEE Trans. Information Theory , vol.37 , pp. 190-192
    • Sole, P.1    Mehrotra, K.G.2
  • 27
    • 0027629032 scopus 로고
    • Covering radius, codimension, and dual-distance width
    • P. Sole and P. Stokes, Covering radius, codimension, and dual-distance width, IEEE Trans. Information Theory 39 (1993), 1195-1203.
    • (1993) IEEE Trans. Information Theory , vol.39 , pp. 1195-1203
    • Sole, P.1    Stokes, P.2
  • 28
    • 0003199229 scopus 로고
    • Amer. Math. Soc. Colloq. Publ., Providence, RI
    • G. Szegō, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., v. 23, Providence, RI, 1975.
    • (1975) Orthogonal Polynomials , vol.23
    • Szegō, G.1
  • 29
    • 0023153299 scopus 로고
    • On the covering radius of long binary BCH codes
    • A. Tietäväinen, "On the covering radius of long binary BCH codes," Discrete Appl. Math. 16 (1987), 75-77.
    • (1987) Discrete Appl. Math , vol.16 , pp. 75-77
    • Tietäväinen, A.1
  • 30
    • 1842552193 scopus 로고
    • Incomplete sums and two applications of Deligne's result
    • Berlin: Springer
    • A. Tietäväinen, "Incomplete sums and two applications of Deligne's result," Lecture Notes in Mathematics 1352, Berlin: Springer, (1988), 190-205.
    • (1988) Lecture Notes in Mathematics , vol.1352 , pp. 190-205
    • Tietäväinen, A.1
  • 32
    • 0025209337 scopus 로고
    • An asymptotic bound on the covering radii of binary BCH codes
    • A. Tietäväinen, "An asymptotic bound on the covering radii of binary BCH codes," IEEE Trans. Inform. Theory 36 (1990), 211-213.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 211-213
    • Tietäväinen, A.1
  • 33
    • 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. Information Theory 36 (1990), 1472-1474.
    • (1990) IEEE Trans. Information Theory , vol.36 , pp. 1472-1474
    • Tietäväinen, A.1
  • 35
    • 0043144930 scopus 로고
    • On the covering radius of long BCH codes
    • 1989, (in Russian). Translated in Problems of Inform. Transmission 25 (1), 28-34
    • S. G. Vlădu and A. N. Skorobogatov, "On the covering radius of long BCH codes," Problemy Peredachi Informacii 25 (1) (1989), 38-45 (in Russian). Translated in Problems of Inform. Transmission 25 (1) (1989), 28-34.
    • (1989) Problemy Peredachi Informacii , vol.25 , Issue.1 , pp. 38-45
    • Vlădu, S.G.1    Skorobogatov, A.N.2
  • 36
    • 0001303344 scopus 로고
    • On some exponential sums
    • A. Weil, "On some exponential sums," Proc. Nat. Ac. Sc. 34 (1948), 204-207.
    • (1948) Proc. Nat. Ac. Sc , vol.34 , pp. 204-207
    • Weil, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.