By the using of a classical theorem of Lang S. and
Weil A., we prove thatfor the geometric MDS codes from plane curves, the main conjecture is true
when thedimensions of codes are restricted in certain range and the ground field is
sufficientlylarge.
Hao CHEN,Li Qing XU.
On the Main Conjecture of Geometric MDS Codes Arising from Plane Curves. Acta Mathematica Sinica, Chinese Series, 1999, 42(3) https://doi.org/10.12386/A1999sxxb0054