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Transform domain communication systems (TDCSs) is a technology that avoids frequency underutilisation. Its bit error rate (BER) performance has been well studied until now, but it is still unknown what is the maximum spectrum efficiency one can expect. Focusing on the multidimensional property of the system, the authors show the reachable BER and spectral efficiency they can obtain for any TDCS. Through this article, the authors provide guidelines to ensure that the spectral efficiency is maximised, whereas the BER is minimised. Previous contributions using TDCSs are studied with regard to their dimensionality and they show how their BER and spectral efficiency can be improved.