JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (09): 42-48.doi: 10.6040/j.issn.1671-9352.0.2014.539

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Security analysis and improvement of two certificateless aggregate signature schemes

FAN Ai-wan, XIA Dong-liang, YANG Zhao-feng   

  1. School of Software, Pingdingshan University, Pingdingshan 467002, Henan, China
  • Received:2014-12-01 Revised:2015-05-18 Online:2015-09-20 Published:2015-09-26

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Abstract: The security flaws and low computational efficiency problem exist in most of the aggregate signature schemes. Based on the security analysis of two kinds of certificateless aggregate signature scheme, it is found that the two schemes can not resist forgery attack under Type I and Type II. Aiming at this sort of problems, we proposed an improved scheme that has changed the combination mode of parameters in the process of signature and has strengthened the constraints of master key and the public key in the process of aggregate signature verification. It was proved that the prosed scheme is existentially unforgeable against adaptive chosen message attacks under the computational Diffie-Hellman assumption in the random oracle model. The efficiency analysis shows that the scheme needs only 4 bilinear pairing operations in the signature process and the verification process, and the length of the signature is fixed. This improved scheme is more efficient comparing with the other certificateless aggregate signature schemes in similar secure level.

Key words: certificateless cryptography, bilinear pairing, random oracle model, aggregate signature

CLC Number: 

  • TP309
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