  In 2001, Rivest et al. firstly introduced the concept of ring signatures. A
ring signature is a simplified group signature without any manager. It protects
the anonymity of a signer. The first scheme proposed by Rivest et al. was based
on RSA cryptosystem and certificate based public key setting. The first ring
signature scheme based on DLP was proposed by Abe, Ohkubo, and Suzuki. Their
scheme is also based on the general certificate-based public key setting too.
In 2002, Zhang and Kim proposed a new ID-based ring signature scheme using
pairings. Later Lin and Wu proposed a more efficient ID-based ring signature
scheme. Both these schemes have some inconsistency in computational aspect.
  In this paper we propose a new ID-based ring signature scheme and a proxy
ring signature scheme. Both the schemes are more efficient than existing one.
These schemes also take care of the inconsistencies in above two schemes.
