Linear codes and modular curves
Linear codes and modular curves
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线性代码和模曲线
DOI：
10.1007/bf02249124
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发表时间：
1985
期刊：
影响因子：
--
通讯作者：
Y. Manin
中科院分区：
文献类型：
--
作者：
S. G. Vléduts;Y. Manin
最近的研究结果在编码理论，理论的可计算性，和代数几何在有限域的结合点提出。给出了码的渐近理论和Goppa在代数曲线上构造码的基本问题，并对V. G. Drinfel的椭圆模的模曲线上产生的码进行了详细的算法分析。
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.