Classification of universally ideal homomorphic secret sharing schemes and ideal black-box secret sharing schemes
文献类型：期刊论文
| 作者 | Zhou, ZF |
| 刊名 | Information security and cryptology, proceedings
 |
| 出版日期 | 2005 |
| 卷号 | 3822页码:370-383 |
| 关键词 | Universally ideal homomorphic secret sharing scheme Black-box secret sharing scheme Chain group Regular matroid |
| ISSN号 | 0302-9743 |
| 通讯作者 | Zhou, zf(zhouzhanfei@is.ac.cn) |
| 英文摘要 | A secret sharing scheme (sss) is homomorphic, if the products of shares of secrets are shares of the product of secrets. for a finite abelian group g, an access structure a is g-ideal homomorphic, if there exists an ideal homomorphic sss realizing the access structure a over the secret domain g. an access structure a is universally ideal homomorphic, if for any non-trivial finite abelian group g, a is g-ideal homomorphic. a black-box sss is a special type of homomorphic sss, which works over any non-trivial finite abelian group. in such a scheme, participants only have black-box access to the group operation and random group elements. a black-box sss is ideal, if the size of the secret sharing matrix is the same as the number of participants. an access structure a is black-box ideal, if there exists an ideal black-box sss realizing a. in this paper, we study universally ideal homomorphic and black-box ideal access structures, and prove that an access structure a is universally ideal homomorphic (black-box ideal) if and only if there is a regular matroid appropriate for a. |
| WOS研究方向 | Computer Science |
| WOS类目 | Computer Science, Information Systems ; Computer Science, Theory & Methods |
| 语种 | 英语 |
| WOS记录号 | WOS:000234882000032 |
| 出版者 | SPRINGER-VERLAG BERLIN |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2377530 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Zhou, ZF |
| 作者单位 | Chinese Acad Sci, State Key Lab Informat Secur, Grad Sch, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhou, ZF. Classification of universally ideal homomorphic secret sharing schemes and ideal black-box secret sharing schemes[J]. Information security and cryptology, proceedings,2005,3822:370-383. |
| APA | Zhou, ZF.(2005).Classification of universally ideal homomorphic secret sharing schemes and ideal black-box secret sharing schemes.Information security and cryptology, proceedings,3822,370-383. |
| MLA | Zhou, ZF."Classification of universally ideal homomorphic secret sharing schemes and ideal black-box secret sharing schemes".Information security and cryptology, proceedings 3822(2005):370-383. |
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来源：中国科学院大学
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