Résume | We will define and study a class of algebras containing classical (generic) affine Hecke algebras as well as the pro-$p$-Iwahori Hecke algebras appearing in the mod $p$ Langlands correspondence. Building upon a result of Ram we will introduce families of (integral) linear bases of these algebras related to Bernstein's presentation. This will allow us to give a description of the center, recovering earlier results of Vignéras. |