Reed-Muller Codes on Complete Intersections
Reed-Muller Codes on Complete Intersections
复制标题
DOI：
10.1007/s002000000047
复制
发表时间：
2001-05
期刊：
影响因子：
--
通讯作者：
I. Duursma;C. Rentería-Márquez;H. Tapia-Recillas
中科院分区：
文献类型：
--
作者：
I. Duursma;C. Rentería-Márquez;H. Tapia-Recillas
利用交换代数中的一些结果和技巧，如点集的消失理想、点集的不变式、Hilbert多项式和级数、有限自由分解和标准模，给出了关于n-射影维空间中零维完全交上的Reed-Muller码的一些结果.这类代码的几个例子，以说明的想法。
By using results and techniques from commutative algebra such as the vanishing ideal of a set of points, itsa-invariant, the Hilbert polynomial and series, as well as finite free resolutions and the canonical module, some results about Reed-Muller codes defined on a zero-dimensional complete intersection in then-projective dimensional space are given. Several examples of this class of codes are presented in order to illustrate the ideas.