Linear codes and modular curves
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 25 (1984), pp. 209-257
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Results of recent investigations at the juncture of coding theory, the theory of computability, and algebraic geometry over finite fields are presented. The basic problems of the asymptotic theory of codes and Goppa's construction of codes on the basis of algebraic curves are presented, and a detailed algorithmic analysis is given of the codes arising on the modular curves of elliptic modules of V. G. Drinfel'd.
@article{INTD_1984_25_a3,
author = {S. G. Vl\u{a}du\c{t} and Yu. I. Manin},
title = {Linear codes and modular curves},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {209--257},
year = {1984},
volume = {25},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1984_25_a3/}
}
S. G. Vlăduţ; Yu. I. Manin. Linear codes and modular curves. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 25 (1984), pp. 209-257. http://geodesic.mathdoc.fr/item/INTD_1984_25_a3/