  We present a general methodology to obtain the basis of qudits which are
admissible to Quantum Fourier Transform (QFT). We first study this method for
qubits to characterize the ensemble that works for the Hadamard transformation
(QFT for two dimension). In this regard we identify certain incompleteness in
the result of Maitra and Parashar (IJQI, 2006). Next we characterize the
ensemble of qutrits for which QFT is possible. Further, some theoretical
results related to higher dimensions are also discussed.
