A Group Signature Scheme with Efficient Membership Revocation for Middle-Scale Groups

Toru NAKANISHI
Yuji SUGIYAMA

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E88-A    No.5    pp.1224-1233
Publication Date: 2005/05/01
Online ISSN: 
DOI: 10.1093/ietfec/e88-a.5.1224
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
group signature,  membership revocation,  strong RSA assumption,  

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Summary: 
This paper proposes a group signature scheme with efficient membership revocation. Though group signature schemes with efficient membership revocation based on a dynamic accumulator were proposed, the previous schemes force a member to change his secret key whenever he makes a signature. Furthermore, for the modification, the member has to obtain a public membership information of O(nN) bits, where n is the length of the RSA modulus and N is the total number of joining members and removed members. In our scheme, the signer needs no modification of his secret, and the public membership information has only K bits, where K is the maximal number of members. Then, for middle-scale groups with the size that is comparable to the RSA modulus size (e.g., up to about 1000 members for 1024 bit RSA modulus), the public membership information is a single small value only, while the signing/verification also remains efficient.


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