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Coding Theory and Algebraic Geometry : Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991 / edited by Henning Stichtenoth, Michael A. Tsfasman.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2381-2384 2385-2386,2388-2389
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LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1518.
- Lecture Notes in Mathematics, 0075-8434 ; 1518
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Number theory.
- Chemistry--Mathematics.
- Chemistry.
- Engineering.
- Algebraic Geometry.
- Number Theory.
- Math. Applications in Chemistry.
- Computational Intelligence.
- Local Subjects:
- Algebraic Geometry.
- Number Theory.
- Math. Applications in Chemistry.
- Computational Intelligence.
- Physical Description:
- 1 online resource (VIII, 232 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540472674
- Access Restriction:
- Restricted for use by site license.
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