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Linear multi-secret sharing schemes 被引量:8

Linear multi-secret sharing schemes
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摘要 In this paper the linear multi-secret sharing schemes are studied by using monotone span programs. A relation between computing monotone Boolean functions by using monotone span programs and realizing multi-access structures by using linear multi-secret sharing schemes is shown. Furthermore, the concept of optimal linear multi-secret sharing scheme is presented and the several schemes are proved to be optimal. In this paper the linear multi-secret sharing schemes are studied by using monotone span programs. A relation between computing monotone Boolean functions by using monotone span programs and realizing multi-access structures by using linear multi-secret sharing schemes is shown. Furthermore, the concept of optimal linear multi-secret sharing scheme is presented and the several schemes are proved to be optimal.
出处 《Science in China(Series F)》 2005年第1期125-136,共12页 中国科学(F辑英文版)
基金 supported by the National Natural Science Foundation of China(Grant Nos.60083002,90304012,2004CB318000).
关键词 multi-secret sharing scheme linear multi-secret sharing scheme monotone span program optimal linear multi-secret sharing scheme. multi-secret sharing scheme, linear multi-secret sharing scheme, monotone span program, optimal linear multi-secret sharing scheme.
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  • 1[1]Blackley, G. R., Safeguarding cryptographic keys, Proc. of the 1979 AFIPS National Computer Conference,1979, 48: 313-317.
  • 2[2]Shamir, A., How to share a secret, Communications of the ACM, 1979, 22: 612-613.
  • 3[3]Blundo, C., De Santis, A., Di Crescenzo, G., Multi-secret sharing schemes, Advances in Cryptology-CRYPTO'94,1995, 839: 150-163.
  • 4[4]Beimel, A., Secure Schemes for Secret Sharing and Key Distribution, PhD thesis, Technion-Israel Institute of Techonlogy, 1996.
  • 5[5]Blundo, C., De Santis, A., Masucci, B., Randomness in Multi-Secret Sharing Schemes, Technical Report, University of Salerno, 1998.

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