Predictions for systems in quantum entangled states can not be described by local realistic models. However if we add some noise, such a description could be possible. Through a numerical linear optimization method we show that for two quantum systems decribed by N-dimensional Hilbert spaces (quNits) in a maximally entangled state, the minimal admixture of noise increases with N. The threshold minimal noise, for which the entangled quantum state allows a local realistic model, is our numerical result of the strength of violation of local realism by the maximally entangled state.