Currently, in Threshold Public Key Systems key shares are generated uniformly and distributed in the same manner to every participant. We propose a new scheme, Asymmetric Key Distribution (AKD), in which one share server is provided with a larger, unequal chunk of the original secret key. Asymmetric Key Distribution is a unique scheme for generating and distributing unequal shares via a Trusted Dealer to all the registered peers in the system such that without the combination of the single compulsory share from the Special Server no transaction can be completed. This application is aimed for circumstances where a single party needs to co-exist within a group of semi-trusted peers, or in a coalition where every entity should have a choice to participate and one of the entities needs to be privileged with more powers. This thesis presents the algorithm and security model for Asymmetric Key Distribution, along with all the assumptions and dependencies within the boundaries of which this algorithm is guaranteed to be secure. Its robustness lies in its simplicity and in its distributed nature. We address all security concerns related to the model including compromised share servers and cryptanalytic attacks.