# On cyclic algebraic-geometry codes

@article{Cabana2021OnCA, title={On cyclic algebraic-geometry codes}, author={Gustavo Cabana and M. Chara and Ricardo A. Podest'a and R. Toledano}, journal={ArXiv}, year={2021}, volume={abs/2106.08884} }

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… Expand

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