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140122 ||| eng |
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|a 9783540472674
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| 100 |
1 |
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|a Stichtenoth, Henning
|e [editor]
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| 245 |
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|a Coding Theory and Algebraic Geometry
|h Elektronische Ressource
|b Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991
|c edited by Henning Stichtenoth, Michael A. Tsfasman
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| 250 |
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|a 1st ed. 1992
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1992, 1992
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| 300 |
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|a VIII, 232 p
|b online resource
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| 505 |
0 |
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|a Algebraic geometry and coding theory an introduction -- Reed-Muller codes associated to projective algebraic varieties -- Decoding Algebraic-Geometric Codes by solving a key equation -- On the different of abelian extensions of global fields -- Goppa codes and Weierstrass gaps -- On a characterization of some minihypers in PG(t,q) (q=3 or 4) and its applications to error-correcting codes -- Deligne-Lusztig varieties and group codes -- Spectra of linear codes and error probability of decoding -- On the true minimum distance of Hermitian codes -- Sphere packings centered at S-units of algebraic tori -- A function field related to the Ree group -- On the gonality of curves, abundant codes and decoding -- Curves with many points and multiplication in finite fileds -- The domain of covering codes -- Some remarks on the asymptotic number of points -- On the weights of trace codes -- Minoration de Certaines Sommes Exponentielles Binaires -- Linear codes, strata of Grassmannians, and the problems of segre
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| 653 |
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|a Number theory
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| 653 |
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|a Chemometrics
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| 653 |
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|a Algebraic Geometry
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| 653 |
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|a Number Theory
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| 653 |
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|a Computational intelligence
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| 653 |
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|a Computational Intelligence
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| 653 |
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|a Mathematical Applications in Chemistry
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| 653 |
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|a Algebraic geometry
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| 700 |
1 |
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|a Tsfasman, Michael A.
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Lecture Notes in Mathematics
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| 028 |
5 |
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|a 10.1007/BFb0087986
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| 856 |
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|u https://doi.org/10.1007/BFb0087986?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 516.35
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| 520 |
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|a About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings
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