引用本文:何明星,范平志.基于半群结构的多等级密钥分享方案.软件学报,2002,13(2):168-175
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基于半群结构的多等级密钥分享方案
何明星1,2, 范平志1
1.西南交通大学,计算机与通信工程学院,四川,成都,610031;2.四川工业学院,计算机科学与工程系,四川,成都,610039
摘要:
在信息管理与电子商务应用中,如何安全地将一个合法实体(比如一个公司)的密钥分配给其属下的若干部门具有非常重要的意义.通常在这类应用中各部门都需拥有自己的子密钥,而每个部门的每个人(或科室)都有不同的子密钥授权等级,即一个部门只要其中一部分被授权人根据他们的密钥授权等级适当联合就能获得所在部门的子密钥,而一旦得到每个部门的子密钥就能够恢复出公司完整的密钥.基于此,建立了一个满足这种要求的安全的密钥分享体制.与传统方法不同,利用代数中群与半群的结构理论,通过使个人的密钥授权等级对应于相应群的特定元素的阶从而给出了一种能实现这种多等级密钥分享的方案.该方案可用于需要多等级密钥分享的其它场合.
关键词:  半群    多等级密钥分享  信息系统  电子商务
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基金项目:Supported by the National Natural Science Foundation of China under Grant No. 69825102 (国家自然科学基金)
A Multi-Level Secret Sharing Scheme Based on Semigroup Structures
HE Ming-xing,FAN Ping-zhi
Abstract:
How to securely distribute a company's secret key to its n authorized departments is of much importance in information management system of E-commerce. In many cases, every authorized department in a company needs a partial or sub-secret key, and each person in the corresponding authorized department has an access level to the sub-secret key. Upon the sub-secret key of a department being cooperatively reconstructed, the company's secret key can be securely and completely reconstructed from all sub-secret keys of the departments. This paper presents such a novel multi-level secret sharing scheme. Instead of traditional method, this scheme is mainly based on the complexity of semigroup structures in which each department's sub-secret key is related to a group and each person's access level in the corresponding department is characterized by an order of an element in the group. The proposed scheme can also be employed to other scenarios where multi-level secret sharing is needed.
Key words:  semigroup  group  multi-level secret sharing  information system  E-commerce

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