论文标题
在椭圆曲线代码的深孔上
On Deep Holes of Elliptic Curve Codes
论文作者
论文摘要
我们提供了一种为椭圆曲线代码构造深孔的方法。对于长的椭圆曲线代码,我们猜想我们的构造是完整的,因为它给出了所有深孔。通过与有限几何形状的问题联系,提供了有关完整性的一些证据和启发式方法。
We give a method to construct deep holes for elliptic curve codes. For long elliptic curve codes, we conjecture that our construction is complete in the sense that it gives all deep holes. Some evidence and heuristics on the completeness are provided via the connection with problems and results in finite geometry.