Identity-Based Combined Public Key
Schemes for Signature, Encryption,
and Signcryption
Yuyang Zhou, Zhaoqi Li, Fei Hu and Fagen Li
AbstractSignature, encryption, and signcryption are three basic cryptographic
primitives in the public key cryptography. In this paper, we discuss identity-based
combined public key schemes in three cryptographic primitives environment, sig-
nature, encryption, and signcryption. The advantage of using combined public key
scheme is to reduce the task of key management, where the same key pair is applied
for signature, encryption, and signcryption. We give an identity-based combined
signature and encryption (IBCSE) method based on Cha and Cheon’s signature and
Boneh and Franklin’s encryption. In addition, we point out that the security notions
for combined signature, encryption and signcryption defined by Paterson et al. in
ASIACRYPT 2011 are too strong. We define relatively weak but more reasonable
security notions for identity-based combined signature, encryption and signcryp-
tion (IBCSESC). We give a weakly secure IBCSESC scheme that satisfies our weak
security notions and a strongly secure IBCSESC scheme that satisfies strong security
notions.
KeywordsIdentity-based cryptography
·Combined public key scheme
Signature
·Encryption·Signcryption
1 Introduction
Confidentiality, integrity, authentication, and non-repudiation are four important
security properties in the cryptography. Confidentiality guarantees messages secret
from others than those who are allowed to see it. Integrity keeps that the messages
have not been modified by unauthorized persons. Authentication guarantees that the
communicating party is the correct one that it declares to be. Non-repudiation assures
that a communicating party cannot deny previous commitments or actions. Signature,
encryption, and signcryption are three basic cryptographic primitives in the cryptog-
Y. Zhou·Z. Li·F. Hu·F. Li ( B)
University of Electronic Science and Technology of China, Chengdu 611731, China
e-mail:
[email protected]
© Springer Nature Singapore Pte Ltd. 2019
P. Chandra et al. (eds.),Information Technology and Applied Mathematics,
Advances in Intelligent Systems and Computing 699,
https://doi.org/10.1007/978-981-10-7590-2_1
3