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Book Review
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Book Information
Author(s):
C. J. Moreno
Title:
Algebraic curves over finite fields
Additional book information:
Cambridge University Press, Cambridge, 1991, ix+246 pp. US$49.50. ISBN 0-521-34252-X
References:
- [1]
- T. Beth, \emph{Some aspects of coding theory between probability, algebra, combinatorics and complexity theory} vol.~969, Springer, Berlin and New York, 1982 pp.~12--29.
- [2]
- Y. Driencourt and J. F. Michon, Rapport sur les codes g\'eom\'etriques, Universit\'e d'Aix-Marseille II and Universit\'e de Paris VII.
- [3]
- V. D. Goppa, Algebraico-geometric codes, Math. USSR-Ivz \textbf{21} (1983), 75--91.
- [4]
- V. D. Goppa, Codes and information, Russian Math. Surveys \textbf{39} (1984), 87--141.
- [5]
- J. W. P. Hirschfeld, Linear codes and algebraic curves, Geometrical Combinatorics, Pitman, New York and London, 1984, pp.~35--53.
- [6]
- J. W. P. Hirschfeld, Codes and curves, Finite Geometries, Buildings and Related Topics, Oxford Univ Press, London and New York, 1990, pp.~129--144.
- [7]
- Y. Ihara, \emph{Congruence relations and Shimura curves}, Amer. Math. Soc., Providence, RI, 1979 pp.~291--311.
- [8]
- Y. Ihara, Congruence relations and Shimura curves. {\rm II}, J. Fac. Sci. Univ. Tokyo Sect. I A \textbf{25} (1979), 301--361.
- [9]
- Y. Ihara, Some remarks on the number of rational points of algebraic curves over finite fields, J. Fac. Sci. Univ. Tokyo Sect. I A Math \textbf{28} (1981), 721--724.
- [10]
- G. Lachaud, Les codes g\'eom\'etriques de Goppa, S\'em. Bourbaki 37\`eme ann\'ee, 1984--85, No. 641, Ast\'erisque {\bf 133--134} (1986), 189--207.
- [11]
- M. A. Tsfasman and S. G. Vladut, Algebraic-geometric codes, Kluwer, Dordoecht, 1991.
- [12]
- M. A. Tsfasman, S. G. Vladut, and T. Zink, Modular curves, Shimura curves and Goppa codes, better than Varshamov-Gilbert bound, Math. Nachr. \textbf{109} (1982), 21--28.
- [13]
- G. van der Geer and J. H. van Lint, Introduction to coding theory and algebraic geometry, Birkha\"user, Basel 1988.
- [14]
- J. H. van Lint, \emph{Algebraic geometric codes}, Springer, New York, 1990 pp.~137--162.
- [15]
- J. H. van Lint and T. A. Springer, Generalized Reed-Solomon codes from algebraic geometry, IEEE Trans. Inform. Theory {\bf 33} (1987), 305--309.
- [16]
- S. G. Vladut and Y. I. Manin, Linear codes and modular curves, J. Soviet Math. \textbf{30} (1985), 2611--2643.
- [17]
- J. F. Voloch, Codes and curves, Eureka \textbf{43} (1983), 53--61.
- [18]
- M. Wirtz, Verallegemeinerte Goppa-Codes, Diplomarbeit, Universit\"at Munster, 1986.
Additional Information:
Reviewer(s):
J. W. P.
Hirschfeld
Review Information:
Journal:
Bull. Amer. Math. Soc.
27
(1992),
327-332.
DOI:
10.1090/S0273-0979-1992-00321-X
PII:
S 0273-0979(1992)00321-X
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