In this paper we initiate the study of cyclic algebraic geometry codes. We
give conditions to construct cyclic algebraic geometry codes in the context of
algebraic function fields over a finite field by using their group of
automorphisms. We prove that cyclic algebraic geometry codes constructed in
this way are closely related to cyclic extensions. We also give a detailed
study of the monomial equivalence of cyclic algebraic geometry codes
constructed with our method in the case of a rational function field.Comment: 25 pages, 1 figur
