We introduce a New Cryptographic Hash functions using Discrete Heisenberg Group by concatenating the key to it, which will give a new hashed values corresponding to the keyed generators.The new Keyed
* Fingerprint Definition & Uniqueness: * The PSDS fingerprint ( \mathcal{F}(p, q, r) ) is defined as the real number output of the operational algorithm applied to the prime triplet ( (p, q, r) ).
