论文标题
从可还原曲线构建部分MDS代码
Constructing Partial MDS Codes from Reducible Curves
论文作者
论文摘要
我们提出可简化的代数曲线，作为构造部分MD（PMD）代码的机制。我们获得了新的一般存在结果，新的显式结构以及对这些代码可能存在的最小字段大小的改进估计。我们的结果是通过结合投影代数几何，组合和概率理论的思想来获得的。
We propose reducible algebraic curves as a mechanism to construct Partial MDS (PMDS) codes geometrically. We obtain new general existence results, new explicit constructions and improved estimates on the smallest field sizes over which such codes can exist. Our results are obtained by combining ideas from projective algebraic geometry, combinatorics and probability theory.
