Abstract
Group signature schemes with membership revocation have been intensively researched. However, signing and/or verification of some existing schemes have computational costs of O(R), where R is the number of revoked members. Existing schemes using a dynamic accumulator or a similar technique have efficient signing and verifications with O(1) complexity. However, before signing, the signer has to modify his secret key with O(N) or O(R) complexity, where N is the group size. Therefore, for larger groups, signers suffer from enormous costs. On the other hand, an efficient scheme for middle-scale groups with about 1,000 members is previously proposed, where the signer need not modify his secret key. However this scheme also suffers from heavy signing/verification costs for larger groups. In this paper, we adapt the middle-scale scheme to the larger groups. At the sacrifice of the group manager’s cost, our signing/verification has only O(1) complexity.
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Nakanishi, T., Kubooka, F., Hamada, N., Funabiki, N. (2005). Group Signature Schemes with Membership Revocation for Large Groups. In: Boyd, C., González Nieto, J.M. (eds) Information Security and Privacy. ACISP 2005. Lecture Notes in Computer Science, vol 3574. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11506157_37
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DOI: https://doi.org/10.1007/11506157_37
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