Weight distributions of simplex codes over finite chain rings and their Gray map images

Cristina Fernández-Córdoba, Sergi Sánchez-Aragón, Mercè Villanueva

A linear code of length $n$ over a finite chain ring $R$ with residue field $\F_q$ is a $R$-submodule of $R^n$. A $R$-linear code is a code over $\F_q$ (not necessarily linear) whi…