Separating cardinal characteristics of the strong measure zero ideal

Let $\mathcal{S}\mathcal{N}$ be the $\sigma$-ideal of the strong measure zero sets of reals. We present general properties of forcing notions that allow to control of the additivity of $\mathcal{S}\mathcal{N}$ after finite support iterations. This is applied to force that the four cardinal characteristics associated with $\mathcal{S}\mathcal{N}$ are pairwise different: $$\mathrm{a}\mathrm{d}\mathrm{d}(\mathcal{S}\mathcal{N})<\mathrm{c}\mathrm{o}\mathrm{v}(\mathcal{S}\mathcal{N})<\mathrm{n}\mathrm{o}\mathrm{n}(\mathcal{S}\mathcal{N})<\mathrm{c}\mathrm{o}\mathrm{f}(\mathcal{S}\mathcal{N})\mathrm{.}$$ Furthermore, we construct a forcing extension satisfying the above and Cichoń’s maximum (i.e.\ that the non-dependent values in Cichoń’s diagram are pairwise different).