Explicit strong boundedness for higher rank symplectic groups

This paper gives an explicit argument to show strong boundedness for ${\rm Sp}_{2n}®$for$R$ a ring of S-algebraic integers or a semi-local ring. This gives a quantitative version of a related abstract result in a previous paper of the author. The results presented further generalize older results regarding strong boundedness by Kedra, Libman and Martin and Morris from ${\mathrm{S}\mathrm{L}}_n$ to ${\mathrm{S}\mathrm{p}}_{2n}$. Further, the presented results solve the question of the asymptotic of strong boundedness for ${\mathrm{S}\mathrm{p}}_{2n}(R)$ for $R$ semi-local case with an argument that immediately generalizes to all other split Chevalley groups.