MDS linear codes with one-dimensional hull

The hull of a linear code C is the intersection with its dual C⊥, where often defined respect to Euclidean or Hermitian inner product. low dimensions gets much interest due crucial role in determining complexity algorithms for computing automorphism group and checking permutation equivalence two codes. Recently, both hulls have found another application quantum error correcting codes entanglements. This paper aims explore explicit constructions families MDS one-dimensional cases. We use tools from algebraic function fields one variable study such Sufficient conditions an geometry genus zero are provided, some construction methods presented. construct many case three case, respectively.