Locally Recoverable codes from algebraic curves with separated variables
Locally Recoverable codes from algebraic curves with separated variables
复制标题
来自具有分离变量的代数曲线的局部可恢复代码
DOI：
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发表时间：
2018
影响因子：
0.9
通讯作者：
F. Torres
中科院分区：
文献类型：
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作者：
C. Munuera;Wanderson Tenório;F. Torres
局部可恢复码是一种纠错码，使得码字的单个坐标中的任何擦除都可以从其他坐标的小子集中恢复。我们研究了由分离变量方程定义的某些曲线所产生的局部可恢复代数几何码。擦除的恢复一般是通过拉格朗日插值得到的，在某些特殊情况下只需一次加法即可。
A Locally Recoverable code is an error-correcting code such that any erasure in a single coordinate of a codeword can be recovered from a small subset of other coordinates. We study Locally Recoverable Algebraic Geometry codes arising from certain curves defined by equations with separated variables. The recovery of erasures is obtained by means of Lagrangian interpolation in general, and simply by one addition in some particular cases.