Simple Generalized Group‐Oriented Cryptosystems Using ElGamal Cryptosystem
Volume 14, Issue 1 (2003), pp. 111–120
Pub. online: 1 January 2003
Type: Research Article
Received
1 December 2002
1 December 2002
Published
1 January 2003
1 January 2003
Abstract
In the generalized group‐oriented cryptosystem, the sender can send a conditional message to a group of users such that only the specified sets of users in this group can cooperate to decrypt this message. In this paper, we will use an ElGamal cryptosystem and an elliptic curve ElGamal cryptosystem to achieve the purposes of generalization and group‐orientation, respectively. Both of our schemes are more efficient than Tsai et al.'s scheme in terms of sender's computational complexity.