Session S29 - Theory and Applications of Coding Theory

Wednesday, July 14, 14:00 ~ 14:25 UTC-3

On the minimum distance of some codes parameterized by the edges of an even cycle

Manuel Gonzalez Sarabia

Instituto Politecnico Nacional, UPIITA, Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Several approaches have been given to the study of the codes parametrized by the edges of a graph. In this work we analyze the behavior of the minimum distance in the case of the codes parameterized by the edges of an even cycle. Although we know the main parameters in the case of odd cycles, including their complete weight hierarchy, because in this situation we are dealing with a projective torus, the case of even cycles remains unknown.

View abstract PDF