In view of the different dangers to which users of contactless biometric systems are exposed, we have developed a contactless secure revocable model based on random projection and DFT (Discret Fourier Tansformation) to enhance contactless fingerprint authentication. Two matrices emerge, namely that corresponding to the terminations and that corresponding to the bifurcations. These matrices are then transformed in a first time thanks to the random projection. In a second time we apply to them the Discret Fourier Transformation called the DFT.This proposed non-contact revocable fingerprint model meets the requirements of revocability, diversity, security and non-reversibility. The evaluation of our model through its results gives the most promising results compared to those existing. The equal error rate (EER) obtained are respectively equal to 0.19% for FVC2002 DB1, 1% for FVC2002 DB2, 4.29% for FVC2002 DB3 and 9.01% for FVC2004 DB2.