MPKC-based Threshold Proxy Signcryption Scheme
Li
Huixian1, Gao Jin1, Wang Lingyun1, and Pang Liaojun2
1School
of Computer Science and Engineering, Northwestern Polytechnical University,
China
2State
Key Laboratory of Integrated Services Networks, Xidian University, China
Abstract: The threshold proxy signcryption can
implement signature and encryption simultaneously in one logical step, and can be used to realize
the decentralized protection of the group signature key, so it is an efficient technology for network
security. Currently, most of the existing threshold
proxy signcryption schemes
are
designed based
on the traditional public key cryptosystems, and their security mainly
depends on the difficulty of the large
integer decomposition and the discrete logarithm. However, the traditional public
key cryptosystems cannot
resist the quantum computer attack, which makes the existing threshold proxy
signcryption schemes based
on traditional public key cryptosystems insecure
against quantum attacks. Motivated by
these concerns, we proposed a threshold proxy signcryption
scheme based on Multivariate Public Key Cryptosystem (MPKC) which is one of the quantum attack-resistent public
key algorithms. Under the premise of satisfying the
threshold signcryption
requirements of the threshold proxy, our scheme can not only realize the
flexible participation of the proxy signcrypters but also resist the quantum
computing attack. Finally, based on
the assumption of Multivariate Quadratic (MQ) problem and Isomorphism Polynomial (IP)
problem, the proof of the confidentiality and the unforgeability of the proposed scheme under the
random oracle
model is
given.
Keywords: Multivariate
public key cryptosystem, signcryption, threshold proxy signcryption, quantum attack.
Received December 5, 2017; accepted May 29, 2019
https://doi.org/10.34028/iajit/17/2/7