A Structured ElGamal-Type Multisignature Scheme

We propose a structured multisignature scheme which is based on a modified ElGamal signature scheme and analyze its security. The structure takes into account the order of the signers. With serial structures, different signing orders produce different multisignatures. In contrast, with parallel structures the multisignatures are independent of the signing order. Our structured multisignatures can deal with structures which are composed of serial and parallel signing orders. We give reductions for the security of the proposed scheme, and for the specified order of the signers in the serial and mixed cases.

[1]  Mihir Bellare,et al.  Random oracles are practical: a paradigm for designing efficient protocols , 1993, CCS '93.

[2]  Thomas Hardjono,et al.  A Practical Digital Multisignature Scheme Based on Discrete Logarithms , 1992, AUSCRYPT.

[3]  Yvo Desmedt,et al.  Shared Generation of Authenticators and Signatures (Extended Abstract) , 1991, CRYPTO.

[4]  Adi Shamir,et al.  A method for obtaining digital signatures and public-key cryptosystems , 1978, CACM.

[5]  Hideki Imai,et al.  Advances in Cryptology — ASIACRYPT '91 , 1991, Lecture Notes in Computer Science.

[6]  Thomas Lengauer,et al.  Combinatorial algorithms for integrated circuit layout , 1990, Applicable theory in computer science.

[7]  Jacques Stern,et al.  Security Proofs for Signature Schemes , 1996, EUROCRYPT.

[8]  Amos Fiat,et al.  How to Prove Yourself: Practical Solutions to Identification and Signature Problems , 1986, CRYPTO.

[9]  Sung-Ming Yen,et al.  New digital signature scheme based on discrete logarithm , 1993 .

[10]  Jennifer Seberry,et al.  Advances in Cryptology — AUSCRYPT '92 , 1992, Lecture Notes in Computer Science.

[11]  Andrew Odlyzko,et al.  Advances in Cryptology — CRYPTO’ 86 , 2000, Lecture Notes in Computer Science.

[12]  Joan Feigenbaum,et al.  Advances in Cryptology-Crypto 91 , 1992 .

[13]  Tatsuaki Okamoto,et al.  A digital multisignature scheme using bijective public-key cryptosystems , 1988, TOCS.

[14]  T. Elgamal A public key cryptosystem and a signature scheme based on discrete logarithms , 1984, CRYPTO 1984.

[15]  Ueli Maurer,et al.  Advances in Cryptology — EUROCRYPT ’96 , 2001, Lecture Notes in Computer Science.

[16]  Holger Petersen,et al.  Meta-Multisignature schemes based on the discrete logarithm problem , 1995 .

[17]  Patrick Horster,et al.  Meta-ElGamal signature schemes , 1994, CCS '94.

[18]  Kazuo Ohta,et al.  A Digital Multisignature Scheme Based on the Fiat-Shamir Scheme , 1991, ASIACRYPT.

[19]  Ran Canetti,et al.  The random oracle methodology, revisited , 2000, JACM.

[20]  Heather Woll,et al.  Reductions among Number Theoretic Problems , 1987, Inf. Comput..