Towards an optimal implementation of cascade

The aim of this contribution is to study the modifications of Cascade, comparing them with the original protocol on the grounds of a full set of parameters, so that the effect of these modifications can be fairly assessed. A number of simulations were performed to study not only the efficiency but also other characteristics of the protocol that are important for its practical application, such as the number of communications and the failure probability. Note that, although it is generally believed that the only price to pay for an improved efficiency is an increased interactivity, when looking at all the significant magnitudes a different view emerges, showing that, for instance, the failure probability eliminate some the supposed advantages of these improvements.