Group signature system and information processing method

Details Group signature system and information processing method Group signature system and information processing method

2007-03-14

2011-10-18

Smithers, Matthew (Department: 2437)

Electrical computers and digital processing systems: support

Multiple computer communication using cryptography

Central trusted authority provides computer authentication

C713S176000, C380S286000

Reexamination Certificate

active

08041944

ABSTRACT:
In a group signature system of the present invention, user device400registered in the group, when receiving an issuing device public key of a set that includes order N of a cyclic group and its elements a—0, a—1and a—2, determines such primes e and e′ that e′ is a prime that is obtained by subtracting a fixed number smaller than the prime e from the prime e, generates a user device secret key of a set including such numbers x and r that the product between a—0and the result obtained by performing modular exponentiation of a—1by number x, multiplied by the result obtained by performing modular exponentiation of a—2by number r is equal to the result obtained by performing element A of the first cyclic group raised to the e-th power, based on order N as a modulus, and a user device public key of a set including prime e, prime e′ and element A, transmits prime e′ to revocation manager300, receives B calculated based on prime e′ from revocation manager300to obtain a message, generates a signature statement for the message using the B value, the user device public key, the user device secret key and the message, and transmits the signature statement with the message and to verifying device500.

REFERENCES:
patent: 2004-228958 (2004-08-01), None
patent: 2004-334126 (2004-11-01), None
patent: 2005-210638 (2005-08-01), None
Ateniese, Giuseppe, “Verifiable Encryption of Digital Signatures and Applications”, Feb. 2004, ACM Transactions on Information and System Security, vol. 7, No. 1, pp. 1-20.
Song, Dawn Xiaodong, “Practical Forward Secure Group Signature Schemes”, Nov. 5, 2001, ACM, pp. 225-234.
Boneh et al., “Group Signatures with Verifier-Local Revocation”, Oct. 25, 2004, ACM, pp. 168-177.
Popescu et al., “A Group Signature Scheme With Revocation”, Jul. 2, 2003, EC-VIP-MC 2003, 4th EURASIP Conference, pp. 245-250.
Yan-Hua et al., “Efficient Group Signature Scheme Based on RSA Cryptosystem”, 2006, IEEE, pp. 1-3.
J. Camenisch et al., “Group Signatures: Better Efficiency and New Theoretical Aspects,” SCN 2004, LNCS 3352, 2005, pp. 120-133.
G. Ateniese et al., “A Practical and Provably Secure Coalition-Resistant Group Signature Scheme,” in Advances in Cryptology—CRYPTO 2000, vol. 1880 of LNCS, pp. 255-270, Springer-Verlag 2000.

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