  In this paper, we examine algebraic geometric (AG) codes associated with
curves generated by separated polynomials, and we create AG codes and quantum
stabilizer codes from these curves by varying their parameters. Our research
involves a thorough examination of the curves' algebraic features as well as
the creation of Goppa codes over them. Extending these findings, we create
quantum stabilizer codes, revealing that quantum codes built from Hermitian
self-orthogonal AG codes have acceptable parameters, improving the reliability
and performance of communication networks.
