An entity that desires to engage in anonymous transactions first generates
a transaction identification that does not uniquely identify the entity.
Additionally, the entity splits an entity identification uniquely
associated with the entity into a plurality of secret shares and
thereafter sends the transaction identification and the plurality of
secret shares to a plurality of shareholders. Subsequently, anonymous
transactions on behalf of the entity may be directly conducted by the
shareholders based in part upon the plurality of secret shares. In one
embodiment of the present invention, the entity identification comprises
a public key uniquely assigned to the entity.