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.

翻译：我们给出了一种为椭圆曲线代码建造深洞的方法。 对于长椭圆曲线代码,我们推测我们的构造是完整的,因为它能提供所有深洞。 通过有限的几何问题和结果的关联,可以提供一些关于完整性的证据和理论。