On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes

Sudhir R. Ghorpade, Rati Ludhani

Following Johnsen and Verdure (2013), we can associate to any linear code $C$ an abstract simplicial complex and in turn, a Stanley-Reisner ring $R_C$. The ring $R_C$ is a standard…