Coding theory and algebraic geometry [electronic resource] : proceedings of the international workshop held in Luminy, France, June 17-21, 1991 / H. Stichtenoth, M.A. Tsfasman (eds.)
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...
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| Format: | Electronic eBook |
| Language: | English |
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Berlin ; New York :
Springer-Verlag,
©1992.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1518. |
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Table of Contents:
- Algebraic geometry and coding theory / H. Stichtenoth, M.A. Tsfasman
- Reed-Muller codes associated to projective algebraic varieties / Y. Aubry
- Decoding algebraic-geometric codes by solving a key equation / D. Ehrhard
- On the different of abelian extensions of global fields / G. Frey, M. Perret, H. Stichtenoth
- Goppa codes and Weierstrass gaps / A. Garcia, R. Lax
- On a characterization of some minihypers in PG(t, q) (q = 3 or 4) and its applications to error-correcting codes / N. Hamada, T. Helleseth
- Deligne-Lusztig varieties and group codes / J.P. Hansen
- Spectra of linear codes and error probability of decoding / G.L. Katsman, M.A. Tsfasman, S.G. Vladut
- On the true minimum distance of hermitian codes / P.V. Kumar, K. Yang
- Sphere packings centered at S-units of algebraic tori / B.E. Kunyavskii
- A function field related to the Ree group / J.P. Pedersen
- On the gonality of curves, abundant codes and decoding / R. Pellikaan
- Curves with many points and multiplication in finite fields / I.E. Shparlinksi, M.A. Tsfasman, S.G. Vladut
- The domain of covering codes / P. Stokes
- Some remarks on the asymptotic number of points / M.A. Tsfasman
- On the weights of trace codes / C. Voss
- Minoration de certaines sommes exponentielles binaires / F. Rodier
- Linear codes, strata of grassmannians, and the problem of segre / A.N. Skorobogatov.