In this paper authorization-limited transformation-free proxy cryptosystems (AL-TFP systems) are studied. It is a modification of the original proxy cryptosystem introduced by Mambo et al.[8] in which a ciphertext transformation by the original decryptor is necessary, and also a modification of the delegated decryption system proposed by Mu et al.[10]. In both systems proposed in [8] and [10], the original decryptors have to trust their proxies completely. The AL-TFP system allows the proxy decryptor to do decryption directly without any ciphertext transformation from the original decryptor, so that it can release the original decryptor more efficiently from a large amount of decrypting operations. Moreover, the original decryptor's privacy can be protected efficiently because the authority of proxy decryptor is limited to his duty and valid period. An active identity-based and a directory-based AL-TFP systems from pairings are proposed. Furthermore, an application of directory-based AL-TFP system to electronic commerce is also described. The securities of our schemes introduced are based on the BDH assumption.

ID-SP-M4M scheme means ID-based series-parallel multisignature schemes for multi-messages. In this paper, we investigate series-parallel multisignature schemes for multi-messages and propose an ID-SP-M4M scheme based on pairings in which signers in the same subgroup sign the same message, and those in different subgroups sign different messages. Our new scheme is an improvement over the series-parallel multisignature schemes introduced by Doi et al.[6]-[8] and subsequent results such as the schemes proposed by Burmester et al.[4] and the original protocols proposed by Tada [20],[21], in which only one message is to be signed. Furthermore, our ID-SP-M4M scheme is secure against forgery signature attack from parallel insiders under the BDH assumption.