Hierarchical identity-based encryption and signature schemes

摘要

A computer-implemented method of generating a digital signature on a message M for a signer Et which is an entity t levels below an entity E0 in a hierarchical system including at least the entities E0, E1,..., Et, t ≥ 2, wherein each entity Ei (i=1,...,t ) is a child of entity Ei-1 in the hierarchical system, the method comprising:(1) obtaining the signer's secret key St which is a member of a group G1;(2) obtaining the signer's integer secret st;(3) generating a signature component Sig on the message M as a valueSig=St+stPMwherein:"+" is a group operation in the group G1; andPM is a value depending on the message M and is a member of the group G1.