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标准模型下的格基数字签名方案
  • 期刊名称：西安电子科技大学学报
  • 时间：2012.8
  • 页码：57-61
  • 分类：TP309[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]西安电子科技大学计算机网络与信息安全教育部重点实验室,陕西西安710071, [2]山东建筑大学理学院,山东济南250101
  • 相关基金：国家自然科学基金资助项目（60970119,61173151,61173152）;国家973资助项目（2007cB311201）
  • 相关项目：格公钥密码的新型设计与新型密码分析研究
作者： 王凤和|胡予濮|贾艳艳|
关键词： 数字签名, 格, 盆景树, 最小整数解问题, 标准模型, digital signature, lattice, bonsai trees , short integer solution problem , the standard model
中文摘要：

为了改进盆景树（Bonsaitrees）格基签名方案的实现效率，提出了一个新的格基数字签名方案．在标准模型下，该方案的存在性不可伪造性是基于格上小整数解问题（SIS）的困难性．作为Bonsaitrees签名的一个改进方案，改进方案的公钥长度由Bonsaitrees签名的（2k＋1）mnlogq比特缩减为（k＋1）mnlogq比特，同时消息的签名长度也由原Bonsaitrees签名的（k＋1）mlogq比特缩减到（1＋k／2）mlogq比特，能更好地实现签名方案的效率．

英文摘要：

To improve the efficiency of the Bonsai trees signature which was proposed in Eurocrypt＇10, utilizing the Bonsai trees algorithm, a new lattice-based signature scheme is proposed. Based on the hardness of the short integer solution problem （SIS）, the proposed scheme is provably existentially unforgeable under a static chosen-massage attack in the standard model. Moreover, the public-key length of our proposed signature is （k ＋ 1）ran log q bit while the bonsai trees signature＇s is （2k ＋ 1 ）mn log q bit ; the signature length of message is （1 ＋k/2）m logq bit while the Bonsai trees signature scheme＇s is （k ＋ 1）rn log q bit. So the proposed signature scheme is more efficient than the Bonsai trees signature.

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