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基于单向函数的完全隐藏承诺方案的构造及应用
Construction and Application of Perfectly Hiding Commitment Scheme Based on One-way Function
【摘要】 承诺方案是密码学领域中一种极其重要的协议,而完全隐藏的承诺方案是承诺方案中最难构造的.在本文。我们基于1-1的单向函数(即单向置换)构造了该类承诺方案,尤其重要的是,它仅仅只需要2轮交换复杂性.基于我们的承诺方案,我们能优化零知识证明系统的构造.
【Abstract】 Commitment scheme is an important primitive in cryptology field,and con- struction of perfectly hiding commitment scheme is the most difficult among all commitment schemes.In this paper,we firstly construct a perfectly hiding commitment based on 1-1 one-way function (i.e.,one-way permutation),especially,it only needs two-round complex- ity.We will improve constructions of zero-knowledge systems based on our perfectly hiding commitment.
【基金】 国家自然科学基金重大计划面上项目(90604034);国家自然科学基金(10871222,10531040,10471156);国家自然科学基金天元基金(10726012)资助项目.
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2008年04期
- 【分类号】TN918.1
- 【被引频次】2
- 【下载频次】116