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Volumn 43, Issue 1, 1997, Pages 128-135

An explicit construction of a sequence of codes attaining the Tsfasman-Vlǎduţ-Zink bound the first steps

Author keywords

Algebraic geometric codes; Asymptotically good codes

Indexed keywords

CODES (SYMBOLS); MATHEMATICAL MODELS; MATRIX ALGEBRA;

EID: 0030788829     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.567659     Document Type: Article
Times cited : (30)

References (10)
  • 1
    • 33846685233 scopus 로고
    • Number of points of an algebraic curve
    • V. G. Drinfeld and S. G.Vlǎduţ, " Number of points of an algebraic curve" Func. Anal., vol. 17, pp. 53-54, 1983.
    • (1983) Func. Anal. , vol.17 , pp. 53-54
    • Drinfeld, V.G.1    Vlǎduţ, S.G.2
  • 2
    • 0003092390 scopus 로고
    • A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vlǎduţ bound
    • A. Garcia and H. Stichtenoth, " A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vlǎduţ bound," Inventiones Math., vol. 121, pp. 211-222, 1995.
    • (1995) Inventiones Math. , vol.121 , pp. 211-222
    • Garcia, A.1    Stichtenoth, H.2
  • 3
    • 0000269783 scopus 로고
    • Some remark on the number of rational points of algebraic curves over finite fields
    • Y. Ihara, " Some remark on the number of rational points of algebraic curves over finite fields," J. Fac. Sci. Tokyo, vol. 28, pp. 721-724, 1981.
    • (1981) J. Fac. Sci. Tokyo , vol.28 , pp. 721-724
    • Ihara, Y.1
  • 4
    • 0021392134 scopus 로고
    • Modular curves and codes with a polynomial construction
    • Mar.
    • G. L. Katsman, M. A. Tsfasman, and S. G. Vlǎduţ," Modular curves and codes with a polynomial construction," IEEE-Trans. Inform. Theory, vol. IT-30, no. 2, pp. 353-355, Mar. 1984.
    • (1984) IEEE-Trans. Inform. Theory , vol.IT-30 , Issue.2 , pp. 353-355
    • Katsman, G.L.1    Tsfasman, M.A.2    Vlǎduţ, S.G.3
  • 5
    • 34648824817 scopus 로고
    • Codes from certain algebraic function fields with many rational places
    • Mathematical Institute, The Technical University of Denmark, Lyngby
    • J. P. Pedersen and A. B. Sørensen," "Codes from certain algebraic function fields with many rational places," MAT-Rep. 1990-11, Mathematical Institute, The Technical University of Denmark, Lyngby, 1990.
    • (1990) MAT-Rep. 1990-11
    • Pedersen, J.P.1    Sørensen, A.B.2
  • 8
    • 84859625236 scopus 로고
    • Modular curves, Shimura curves and Goppa codes, better than the Varshamov-Gilbert bound
    • M. A. Tsfasman, S. G. Vlǎduţ, and T. Zink, " Modular curves, Shimura curves and Goppa codes, better than the Varshamov-Gilbert bound," Math. Nachr., vol. 109, pp. 21-28, 1982.
    • (1982) Math. Nachr. , vol.109 , pp. 21-28
    • Tsfasman, M.A.1    Vlǎduţ, S.G.2    Zink, T.3
  • 9
    • 0039412884 scopus 로고
    • Linear codes and modular curves
    • S. G. Vlǎduţ and Y. I. Manin, " Linear codes and modular curves, J. Sov. Math., vol. 30, pp. 2611-2643, 1985.
    • (1985) J. Sov. Math. , vol.30 , pp. 2611-2643
    • Vlǎduţ, S.G.1    Manin, Y.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.