Coding Theory and Algebraic Geometry
Springer Berlin (Verlag)
978-3-540-55651-0 (ISBN)
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.
Erscheint lt. Verlag | 5.8.1992 |
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Reihe/Serie | Lecture Notes in Mathematics |
Zusatzinfo | VIII, 232 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 369 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Schlagworte | Algebraic Varieties • coding theory • error-correcting code • extension • finite field |
ISBN-10 | 3-540-55651-6 / 3540556516 |
ISBN-13 | 978-3-540-55651-0 / 9783540556510 |
Zustand | Neuware |
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