|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
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, Some aspects of coding theory between probability, algebra, combinatorics and complexity theory, Combinatorial Theory, Lecture Notes in Math., vol. 969, Springer, Berlin and New York, 1982, pp. 12-29. MR 692231 (84j:94027)
- [2]
- Y. Driencourt and J. F. Michon, Rapport sur les codes géométriques, Université d'Aix-Marseille II and Université de Paris VII.
- [3]
- V. D. Goppa, Algebraico-geometric codes, Math. USSR-Ivz 21 (1983), 75-91.
- [4]
- -, Codes and information, Russian Math. Surveys 39 (1984), 87-141.
- [5]
- J. W. P. Hirschfeld, Linear codes and algebraic curves, Geometrical Combinatorics (F. C. Holroyd and R. J. Wilson, eds.), Pitman, New York and London, 1984, pp. 35-53. MR 777155 (86m:94035)
- [6]
- -, Codes and curves, Finite Geometries, Buildings and Related Topics, Oxford Univ Press, London and New York, 1990, pp. 129-144. MR 1072160 (91j:94025)
- [7]
- Y. Ihara, Congruence relations and Shimura curves, I, Proc. Sympos. Pure Math., vol. 33, Amer. Math. Soc., Providence, RI, 1979, pp. 291-311. MR 546621 (81h:10039a)
- [8]
- -, Congruence relations and Shimura curves. II, J. Fac. Sci. Univ. Tokyo Sect. I A 25 (1979), 301-361. MR 523990 (81h:10039b)
- [9]
- -, Some remarks on the number of rational points of algebraic curves over finite fields, J. Fac. Sci. Univ. Tokyo Sect. I A Math 28 (1981), 721-724. MR 656048 (84c:14016)
- [10]
- G. Lachaud, Les codes géométriques de Goppa, Sém. Bourbaki 37ème année, 1984-85, No. 641, Astérisque 133-134 (1986), 189-207. MR 837220 (87f:94038)
- [11]
- M. A. Tsfasman and S. G. Vladut, Algebraic-geometric codes, Kluwer, Dordoecht, 1991. MR 1186841 (93i:94023)
- [12]
- M. A. Tsfasman, S. G. Vladut, and T. Zink, Modular curves, Shimura curves and Goppa codes, better than Varshamov-Gilbert bound, Math. Nachr. 109 (1982), 21-28. MR 705893 (85i:11108)
- [13]
- G. van der Geer and J. H. van Lint, Introduction to coding theory and algebraic geometry, Birkhaüser, Basel 1988.
- [14]
- J. H. van Lint, Algebraic geometric codes, Coding Theory and Design Theory, Part I, IMA Math. Appl., vol. 20, Springer, New York, 1990, pp. 137-162. MR 1047878 (91d:14008)
- [15]
- J. H. van Lint and T. A. Springer, Generalized Reed-Solomon codes from algebraic geometry, IEEE Trans. Inform. Theory 33 (1987), 305-309. MR 885397 (88f:94040)
- [16]
- S. G. Vladut and Y. I. Manin, Linear codes and modular curves, J. Soviet Math. 30 (1985), 2611-2643. MR 770943 (86h:94024)
- [17]
- J. F. Voloch, Codes and curves, Eureka 43 (1983), 53-61.
- [18]
- M. Wirtz, Verallegemeinerte Goppa-Codes, Diplomarbeit, Universität 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
|
