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Book Review
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Book Information
Author(s):
M. A. Tsfasman and S. G. Vl\u adu\c t
Title:
Algebraic-geometric codes
Additional book information:
Kluwer Academic Publishers, Dordrecht, Boston
and London, 1991, xxiv+667 pp., US$229.00. ISBN
0-7923-0727-5
References:
- [1]
- J. H. Conway and N. J. A. Sloane, Sphere packings, lattices and groups, Springer-Verlag, New York, 1988.
- [2]
- V. D. Goppa, Codes on algebraic curves, Soviet Math. Dokl. \textbf{24} (1981), 170--172.
- [3]
- V. D. Goppa, A new class of linear error-correcting codes, Problems Inform. Transmission \textbf{6} (1970), 207--212.
- [3]
- J. Justesen, K. J. Larsen, H.. Elbr\o nd Jensen, Al Havemose, and T. H\o holdt, Construction and decoding of a class of algebraic geometry codes, IEEE Trans. Inform. Theory {\bf IT-35} (1989), 811--821.
- [5]
- J. H. van Lint, \emph{Algebraic geometric codes} (D. Ray-Chaudhuri, ed.) vol.~1, Springer-Verlag, New York, 1990 pp.~137--162.
- [6]
- J. H. van Lint and G. van der Geer, Introduction to coding theory and algebraic geometry, Birkh\"auser Verlag, Boston and Berlin, 1988.
- [7]
- R. Pellikaan, On a decoding algorithm for codes on maximal curves, IEEE Trans. Inform. Theory {\bf IT-35} (1989), 1228--1232.
- [8]
- C. E. Shannon, A mathematical theory of communication, Bell Syst. Tech. J. \textbf{27} (1948), 379--423 and 623--656.
- [9]
- A. N. Skorobogatov and S. G. Vl\u adu\c t, On the decoding of algebraic geometric codes, IEEE Trans. Inform. Theory {\bf IT-36} (1990), 1051--1060.
- [10]
- M. A. Tsfasman, S. G. Vl\u adu\c t, and Th. Zink, Goppa codes that are better than the Varshamov-Gilbert bound, Problems Inform. Transmission \textbf{18} (1982), 163--165.
Additional Information:
Reviewer(s):
J. H. van
Lint
Review Information:
Journal:
Bull. Amer. Math. Soc.
27
(1992),
306-310.
DOI:
10.1090/S0273-0979-1992-00311-7
PII:
S 0273-0979(1992)00311-7
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