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Efficient Certificate-Based Signature with Short Key and Signature Sizes from Lattices
Volume 30, Issue 3 (2019), pp. 595–612
Pub. online: 1 January 2019      Type: Research Article      Open accessOpen Access
Received
1 May 2018
Accepted
1 March 2019
Published
1 January 2019

Abstract

Certificate-based cryptography (CB-PKC) is an attractive public key setting, which reduces the complexity of public key infrastructure in traditional public key settings and resolves the key escrow problem in ID-based public key settings. In the past, a large number of certificate-based signature and encryption schemes were proposed. Nevertheless, the security assumptions of these schemes are mainly relied on the difficulties of the discrete logarithm and factorization problems. Unfortunately, both problems will be resolved when quantum computers come true in the future. Public key cryptography from lattices is one of the important candidates for post-quantum cryptography. However, there is little work on certificate-based cryptography from lattices. In the paper, we propose a new and efficient certificate-based signature (CBS) scheme from lattices. Under the short integer solution (SIS) assumption from lattices, the proposed CBS scheme is shown to be existential unforgeability against adaptive chosen message attacks. Performance comparisons are made to demonstrate that the proposed CBS scheme from lattices is better than the previous lattice-based CBS scheme in terms of private key size and signature size.

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Biographies

Tseng Yuh-Min
ymtseng@cc.ncue.edu.tw

Y.-M. Tseng is currently a professor in the Department of Mathematics, National Changhua University of Education, Taiwan. He is a member of IEEE Computer Society, IEEE Communications Society and the Chinese Cryptology and Information Security Association (CCISA). He has published over one hundred scientific journal and conference papers on various research areas of cryptography, security and computer network. His research interests include cryptography, network security, computer networks and mobile communications. He serves as an editor of several international journals.

Tsai Tung-Tso

T.-T. Tsai is currently a senior engineer in HON HAI Technology Group, Taiwan. His research interests include applied cryptography and pairing-based cryptography. He received the PhD degree from the Department of Mathematics, National Changhua University of Education, Taiwan, in 2014 under the Professor Yuh-Min Tseng.

Wu Jui-Di

J.-D. Wu received the BS degree from the Department of Mathematics, National Changhua University of Education, Taiwan, in 2006. He received the MS degree from the Department of Mathematics, National Changhua University of Education, Taiwan, in 2008. He is currently a PhD candidate in the Department of Mathematics, National Changhua University of Education, Taiwan. His research interests include applied cryptography and pairing-based cryptography.

HUANG Sen-Shan

S.-S. Huang is currently a professor in the Department of Mathematics, National Changhua University of Education, Taiwan. His research interests include number theory, cryptography, and network security. He received his PhD from the University of Illinois at Urbana-Champaign in 1997 under the supervision of professor Bruce C. Berndt.


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Copyright
© 2019 Vilnius University
Open access article under the CC BY license.

Keywords
lattice certificate-based signature post-quantum cryptography short integer solution

Funding
This research was partially supported by Ministry of Science and Technology, Taiwan, under contract no. MOST106-2221-E-018-007-MY2.

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