Fast Verification of Signatures With Shared ECQV Implicit Certificates

In many bandwidth-critical environments, including vehicle-to-vehicle and vehicle-to-infrastructure communications, implicit certificates such as elliptic curve Qu-Vanstone (ECQV) are frequently employed as a means to reduce the bandwidth requirement of digital signatures. In these environments, however, certain recipients such as roadside units need to verify signatures for multiple messages within considerably short time periods. In this paper, we propose two efficient methods of reducing the computational costs of signature verification when multiple digital signatures are provided together with the ECQV implicit certificates. The first method achieves this by sharing the intermediate results that are computed when public keys are extracted from ECQV certificates. The second guarantees a further speed improvement by merging the public key extraction processes into a batch signature verification process. We also present an algorithm that adaptively chooses the best verification method for the given signatures in real time. Our experimental results show that the proposed methods allow for a signature verification that is five times faster than existing methods.

[1]  Jan Camenisch,et al.  Batch Verification of Short Signatures , 2007, Journal of Cryptology.

[2]  Taher ElGamal,et al.  A public key cyryptosystem and signature scheme based on discrete logarithms , 1985 .

[3]  Matthew Green,et al.  Machine-generated algorithms, proofs and software for the batch verification of digital signature schemes , 2014, J. Comput. Secur..

[4]  Hee-Yong Kwon,et al.  Fast Signature Verification with Shared Implicit Certificates for Vehicular Communication , 2016, BWCCA.

[5]  Colin Boyd,et al.  Attacking and Repairing Batch Verification Schemes , 2000, ASIACRYPT.

[6]  Jung Yeon Hwang,et al.  Simplified small exponent test for batch verification , 2017, Theor. Comput. Sci..

[7]  Amos Fiat,et al.  Batch RSA , 1989, Journal of Cryptology.

[8]  Sung-Ming Yen,et al.  Improved Digital Signature Suitable for Batch Verification , 1995, IEEE Trans. Computers.

[9]  Tsz Hon Yuen,et al.  Improvements on an authentication scheme for vehicular sensor networks , 2014, Expert Syst. Appl..

[10]  Scott A. Vanstone,et al.  Accelerated Verification of ECDSA Signatures , 2005, Selected Areas in Cryptography.

[11]  Jung Hee Cheon,et al.  Improved batch verification of signatures using generalized sparse exponents , 2015, Comput. Stand. Interfaces.

[12]  David M'Raïhi,et al.  Can D.S.A. be Improved? Complexity Trade-Offs with the Digital Signature Standard , 1994, EUROCRYPT.

[13]  Tanja Lange,et al.  Faster Batch Forgery Identification , 2012, INDOCRYPT.

[14]  Mihir Bellare,et al.  Fast Batch Verification for Modular Exponentiation and Digital Signatures , 1998, IACR Cryptol. ePrint Arch..

[15]  Dong Hoon Lee,et al.  Use of Sparse and/or Complex Exponents in Batch Verification of Exponentiations , 2006, IEEE Transactions on Computers.

[16]  Matthew Green,et al.  Practical Short Signature Batch Verification , 2009, CT-RSA.