INVESTIGADORES
CHARA Maria De Los Angeles
artículos
Título:
On cyclic algebraic-geometry codes
Autor/es:
G. CABAÑA; M. CHARA; R. PODESTÁ; R. TOLEDANO
Revista:
FINITE FIELDS AND THEIR APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2022 vol. 82
ISSN:
1071-5797
Resumen:
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.
