On Deep Holes of Elliptic Curve Codes
Jun Zhang, Daqing Wan · IEEE Transactions on Information Theory · 2023
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 by means of connections with problems and results in finite geometry.