Computer Science ›› 2016, Vol. 43 ›› Issue (2): 179-182.doi: 10.11896/j.issn.1002-137X.2016.02.039

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Correctness Analysis and Improvement of Group Signature in Composite Order Bilinear Groups

YU Jia-fu, ZHONG Hong and WANG Yi-min   

  • Online:2018-12-01 Published:2018-12-01

Abstract: Zhou Fu-cai et al proposed an efficient group signature scheme based on BMW model by utilizing the composi-te order bilinear groups theory and non-interactive zero knowledge proof system.However,this study demonstrates that there are some deficiencies in Zhou’s scheme that signature verifier cannot verify signer’s ID correctly and cannot finish the signature verification.Then,the authors provided an improved scheme and proved its security strictly.The proposed scheme corrects the errors by adding the commitment to signer’s ID and corresponding non-interactive zero knowledge proof.At last,this paper compared the security and efficiency respectively with the similar group signatures.And the result of analysis shows that the improved scheme resolves the problem of Zhou’s scheme in the premise of assuring the security and efficiency.

Key words: Group signature,Composite order bilinear groups,Non-interactive zero knowledge proof,Correctness analysis

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