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＜電子ブック＞
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
(Lecture Notes in Mathematics. ISSN:16179692 ; 1518)

版	1st ed. 1992.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1992
本文言語	英語
大きさ	VIII, 232 p : online resource
冊子体	Coding theory and algebraic geometry : proceedings of the international workshop held in Luminy, France, June 17-21, 1991 / H. Stichtenoth, M.A. Tsfasman (eds.) ; : gw,: us
著者標目	Stichtenoth, Henning editor Tsfasman, Michael A editor SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Number theory LCSH:Chemometrics LCSH:Computational intelligence FREE:Algebraic Geometry FREE:Number Theory FREE:Mathematical Applications in Chemistry FREE:Computational Intelligence
一般注記	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 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0087986

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