论文标题
Sakata算法在类似双曲线的Abelian代码中解码多达4个错误
Decoding up to 4 errors in Hyperbolic-like Abelian Codes by the Sakata Algorithm
论文作者
论文摘要
我们处理与在特定类别的双变量代码中使用Sakata算法有关的两个问题。第一个是改善定位器解码的一般框架，以便将其应用于此类Abelian代码。第二个是找到综合征表的一组索引，以便没有其他综合症有助于实施BMSA，此外，可以忽略其中任何一个。此外，这些索引的实施足以获得格罗布纳的基础。也就是说，这也是终止标准。
We deal with two problems related with the use of the Sakata's algorithm in a specific class of bivariate codes. The first one is to improve the general framework of locator decoding in order to apply it on such abelian codes. The second one is to find a set of indexes oF the syndrome table such that no other syndrome contributes to implement the BMSa and, moreover, any of them may be ignored \textit{a priori}. In addition, the implementation on those indexes is sufficient to get the Groebner basis; that is, it is also a termination criterion.
