Patent ID: 8437474

Claim:
A system for public key encryption for groups, the system comprising: a user, and a group comprised of a group leader and at least one group member, wherein the group has a single public key for the group and an individual private key for each group member, the individual private key having been created for each group member according to formula (5): d i =d +HASH 32 ( d,N,e ,ID i ,Z )φ( N ) (5) wherein d i is the individual private key for group member i where i equals 1 to M, M is the number of members in the group, d is a private exponent, e is a public exponent, p is a prime number, q is a prime number, ID i is the identification for group member i, Z is a data string that is shared among all group members, N=p*q, and φ(N) is=(p−1)(q−1) and a message received by the group from the user encrypted by asymmetric encryption using the group public key.