Secret sharing with reusable polynomials

作者: Liqun Chen , Dieter Gollmann , Chris J. Mitchell , Peter Wild

DOI: 10.1007/BFB0027925

关键词: Polynomial interpolationComputer scienceProactive secret sharingShamir's Secret SharingTheoretical computer scienceHomomorphic secret sharingCryptographyVerifiable secret sharingSecret sharingSecure multi-party computation

摘要: We present a threshold secret sharing scheme based on polynomial interpolation and the Diffie-Hellman problem. In this shares can be used for reconstruction of multiple secrets, shareholders dynamically join or leave without distributing new to existing shareholders, individually verified during both share distribution recovery.

参考文章(16)
Shin-Jia Hwang, Chin-Chen Chang, A dynamic secret sharing scheme with cheater detection australasian conference on information security and privacy. pp. 48- 55 ,(1996) , 10.1007/BFB0023286
Chi-Sung Laih, Lein Harn, Jau-Yien Lee, Tzonelih Hwang, Dynamic Threshold Scheme Based on the Definition of Cross-Product in an N-Dimentional Linear Space international cryptology conference. pp. 286- 298 ,(1989) , 10.1007/0-387-34805-0_26
Christian Cachin, None, On-Line Secret Sharing Proceedings of the 5th IMA Conference on Cryptography and Coding. pp. 190- 198 ,(1995) , 10.1007/3-540-60693-9_22
E. F. Brickell, D. R. Stinson, The detection of cheaters in threshold schemes international cryptology conference. pp. 564- 577 ,(1990) , 10.1007/0-387-34799-2_40
Torben Pryds Pedersen, Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing international cryptology conference. pp. 129- 140 ,(1991) , 10.1007/3-540-46766-1_9
Yuliang Zheng, Thomas Hardjono, Jennifer Seberry, Reusing Shares in Secret Sharing Schemes The Computer Journal. ,vol. 37, pp. 199- 205 ,(1994) , 10.1093/COMJNL/37.3.199
R.G.E. Pinch, On-line multiple secret sharing Electronics Letters. ,vol. 32, pp. 1087- 1088 ,(1996) , 10.1049/EL:19960692
Chris Charnes, Josef Pieprzyk, Rei Safavi-Naini, Conditionally secure secret sharing schemes with disenrollment capability computer and communications security. pp. 89- 95 ,(1994) , 10.1145/191177.191196
Hugo Krawczyk, Secret sharing made short international cryptology conference. pp. 136- 146 ,(1994) , 10.1007/3-540-48329-2_12
HM Sun, Shiuh-Pyng Shieh, None, Construction of dynamic threshold schemes Electronics Letters. ,vol. 30, pp. 2023- 2025 ,(1994) , 10.1049/EL:19941411