TY - GEN

T1 - Revocable group signature schemes with constant costs for signing and verifying

AU - Nakanishi, Toru

AU - Fujii, Hiroki

AU - Hira, Yuta

AU - Funabiki, Nobuo

N1 - Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2009

Y1 - 2009

N2 - Lots of revocable group signature schemes have been proposed so far. In one type of revocable schemes, signing and/or verifying algorithms have O(N)or O(R) complexity, where N is the group size and R is the number of revoked members. On the other hand, in Camenisch- Lysyanskaya scheme and the followers, signing and verifying algorithms have O(1) complexity. However, before signing, updates of the secret key are required. The complexity is O(R) in the worst case. In this paper, we propose a revocable scheme with signing and verifying of O(1) complexity, where no updates of secret key are required. The compensation is the long public key of O(N). In addition, we extend it to the scheme with 0(v'A)-size public key, where signing and verifying have constant extra costs.

AB - Lots of revocable group signature schemes have been proposed so far. In one type of revocable schemes, signing and/or verifying algorithms have O(N)or O(R) complexity, where N is the group size and R is the number of revoked members. On the other hand, in Camenisch- Lysyanskaya scheme and the followers, signing and verifying algorithms have O(1) complexity. However, before signing, updates of the secret key are required. The complexity is O(R) in the worst case. In this paper, we propose a revocable scheme with signing and verifying of O(1) complexity, where no updates of secret key are required. The compensation is the long public key of O(N). In addition, we extend it to the scheme with 0(v'A)-size public key, where signing and verifying have constant extra costs.

UR - http://www.scopus.com/inward/record.url?scp=67049119911&partnerID=8YFLogxK

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U2 - 10.1007/978-3-642-00468-1_26

DO - 10.1007/978-3-642-00468-1_26

M3 - Conference contribution

AN - SCOPUS:67049119911

SN - 3642004679

SN - 9783642004674

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 463

EP - 480

BT - Public Key Cryptography - PKC 2009 - 12th International Conference on Practice and Theory in Public Key Cryptography, Proceedings

PB - Springer Verlag

T2 - 12th International Conference on Practice and Theory in Public Key Cryptography, PKC 2009

Y2 - 18 March 2009 through 20 March 2009

ER -