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math.AC2026
Generalized Hamming weights of codes arising from complete intersection
Eduardo Camps Moreno, Flavio Salizzoni, Rodrigo San-José
We provide a positive answer to a conjecture proposed by Tohǎneanu and Van Tuyl regarding the minimum distance of codes whose underlying set of points is a reduced complete interse…
math.AC2026
Private neighbors, perfect codes and their relation with the -number of closed neighborhood ideals
Delio Jaramillo-Velez, Hiram H. López, Rodrigo San-José
In this work, we investigate the connections between dominating sets, private neighbors, and perfect codes in graphs, and their relationships with commutative algebra. In particula…