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Volumn 35, Issue 4, 1989, Pages 811-821

Construction and Decoding of a Class of Algebraic Geometry Codes

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER PROGRAMMING--ALGORITHMS; MATHEMATICAL TECHNIQUES--ALGEBRA;

EID: 0024702954     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.32157     Document Type: Article
Times cited : (90)

References (16)
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    • (1977) Probl. Peredach, Inform. , vol.13 , Issue.1 , pp. 33-39
    • Goppa, V.D.1
  • 2
    • 0000942249 scopus 로고
    • Codes on algebraic curves
    • “Codes on algebraic curves,” Soviet Math. Dokl., vol. 24, no. 1, pp. 170-172, 1981.
    • (1981) Soviet Math. Dokl. , vol.24 , Issue.1 , pp. 170-172
  • 3
    • 84956130413 scopus 로고
    • Algebraico-geometric codes
    • “Algebraico-geometric codes,” Math. USSR Izvestiya, vol. 21, no. 1, pp. 75-91, 1983.
    • (1983) Math. USSR Izvestiya , vol.21 , Issue.1 , pp. 75-91
  • 4
    • 84859625236 scopus 로고
    • Modular curves, Shimura curves and Goppa codes, better than Varshamov-Gilbert bound
    • M. A. Tsfasman, S. G. Vladut, and T. Zink, “Modular curves, Shimura curves and Goppa codes, better than Varshamov-Gilbert bound,” Math. Nachr., vol. 104, pp. 13-28, 1982.
    • (1982) Math. Nachr. , vol.104 , pp. 13-28
    • Tsfasman, M.A.1    Vladut, S.G.2    Zink, T.3
  • 5
    • 0021392134 scopus 로고
    • Modular curves and codes with a polynomial construction
    • G. L. Katsman, M. A. Tsfasman, and S. G. Vladut, “Modular curves and codes with a polynomial construction,” IEEE Trans. Inform. Theory, vol. IT-30, pp. 353-355, 1984.
    • (1984) IEEE Trans. Inform. Theory , vol.IT-30 , pp. 353-355
    • Katsman, G.L.1    Tsfasman, M.A.2    Vladut, S.G.3
  • 6
    • 0007078622 scopus 로고
    • Les codes geometriques de Goppa
    • G. Lachaud, “Les codes geometriques de Goppa,” Seminaire Bour-baki, no. 641, 1985.
    • (1985) Seminaire Bour-baki , Issue.641
    • Lachaud, G.1
  • 7
    • 0023670382 scopus 로고
    • Codes on the Klein quartic, ideals and decoding
    • J. P. Hansen, “Codes on the Klein quartic, ideals and decoding,” IEEE Trans. Inform. Theory, vol. IT-33, no. 6, pp. 919-923, 1987.
    • (1987) IEEE Trans. Inform. Theory , vol.IT-33 , Issue.6 , pp. 919-923
    • Hansen, J.P.1
  • 8
    • 0023345465 scopus 로고
    • Generalized Reed-Solomon codes from algebraic geometry
    • J. H. van Lint and T. A. Springer, “Generalized Reed-Solomon codes from algebraic geometry,” IEEE Trans. Inform. Theory, vol. IT-33, no. 3, pp. 305-310, 1987.
    • (1987) IEEE Trans. Inform. Theory , vol.IT-33 , Issue.3 , pp. 305-310
    • van Lint, J.H.1    Springer, T.A.2
  • 9
    • 84939392411 scopus 로고
    • Remarks on codes from Hermitian curves
    • H. J. Tiersma, “Remarks on codes from Hermitian curves,” IEEE Trans. Inform. Theory, vol. IT-33, no. 4, pp. 605-609, 1987.
    • (1987) IEEE Trans. Inform. Theory , vol.IT-33 , Issue.4 , pp. 605-609
    • Tiersma, H.J.1
  • 11
    • 0004055957 scopus 로고
    • Reading, MA: Benjamin Cummings
    • W. Fulton, Algebraic Curves. Reading, MA: Benjamin Cummings, 1969.
    • (1969) Algebraic Curves
    • Fulton, W.1
  • 12
    • 0001713342 scopus 로고
    • Sur le nombre des points rationnels d'une courbe algébraique sur un corps fini
    • J. P. Serre, “Sur le nombre des points rationnels d'une courbe algébraique sur un corps fini,” C.R. Acad. Sci., vol. 296, pp. 397-402, 1983.
    • (1983) C.R. Acad. Sci. , vol.296 , pp. 397-402
    • Serre, J.P.1
  • 13
  • 14
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    • New York: Springer-Verlag, Graduate Texts in Mathematics
    • R. D. Hartshorne, Algebraic Geometry. New York: Springer-Verlag, Graduate Texts in Mathematics, vol. 52, 1977.
    • (1977) Algebraic Geometry , vol.52
    • Hartshorne, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.