基于正交拉丁方理论的数字签名分组批量验证

王宏; 赖成喆; 刘向阳; 曾晗

doi:10.11959/j.issn.1000-436x.2022036

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基于正交拉丁方理论的数字签名分组批量验证

学术论文 | 更新时间：2024-06-05

- 基于正交拉丁方理论的数字签名分组批量验证
- Orthogonal Latin square theory based group and batch verification for digital signatures
- 通信学报 2022年43卷第2期页码：44-54
- 作者机构：
  
  1. 国防科技大学信息通信学院，陕西西安 710106
  2. 西安邮电大学网络空间安全学院，陕西西安 710121
- 作者简介：
  
  [ "王宏（1979-），男，陕西澄城人，博士，国防科技大学讲师，主要研究方向为无线网络安全、有限域等" ]
  [ "赖成喆（1985-），男，陕西汉中人，博士，西安邮电大学教授、硕士生导师，主要研究方向为无线网络安全" ]
  [ "刘向阳（1976-），男，河南许昌人，博士，国防科技大学副教授、硕士生导师，主要研究方向为无线传感器网络、信号检测等" ]
  [ "曾晗（1991-），女，河南南阳人，国防科技大学讲师，主要研究方向为无线网络安全" ]
- 基金信息：
  
  国家自然科学基金资助项目(61871471);陕西省重点研发计划基金资助项目(2021ZDLGY06-02)
- DOI：10.11959/j.issn.1000-436x.2022036
  中图分类号： TN918
- 网络首发：2022-02，
  
  纸质出版：2022-02-25
- 稿件说明：
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王宏, 赖成喆, 刘向阳, 等. 基于正交拉丁方理论的数字签名分组批量验证[J]. 通信学报, 2022,43(2):44-54.

Hong WANG, Chengzhe LAI, Xiangyang LIU, et al. Orthogonal Latin square theory based group and batch verification for digital signatures[J]. Journal on Communications, 2022, 43(2): 44-54.
王宏, 赖成喆, 刘向阳, 等. 基于正交拉丁方理论的数字签名分组批量验证[J]. 通信学报, 2022,43(2):44-54. DOI： 10.11959/j.issn.1000-436x.2022036.

Hong WANG, Chengzhe LAI, Xiangyang LIU, et al. Orthogonal Latin square theory based group and batch verification for digital signatures[J]. Journal on Communications, 2022, 43(2): 44-54. DOI： 10.11959/j.issn.1000-436x.2022036.

摘要

针对态势感知网络中海量的、时敏性强的消息需要中心节点进行快速、安全验证的问题，基于组合数学的正交拉丁方理论设计了数字签名分组批量认证方案。该方案着眼于消息安全性验证效率的提升，利用正交拉丁方理论设计数字签名的分组方案，以聚合签名理论作为签名批量验证算法，构建了一个采取多个处理器并行运算的非适应性数字签名分组批量验证模型。理论证明和仿真分析表明，所提模型在非法数字签名个数上限d（

）已知的条件下，能以大约

次数完成 n 个非法数字签名的识别，特别是在多个处理器计算的情况下相比逐一验证、二分法验证具有时效高、容错性强的特点。

Abstract

In order to solve the problem of fast security verification of massive and time-intensive messages on a central node in situational awareness networks

orthogonal Latin square theory based scheme was considered.Considering efficiency promotion of security verification of messages

group design of digital signatures based on orthogonal Latin square theory was formulated

batch verification of digital signatures was processed by aggregate signature

then an efficient

parallel and non-adaptive batch verification scheme of digital signatures was proposed in according with multiple processors.Theoretical analysis and simulation results demonstrate that it will be able to identify n digital signatures by approximately

times given the upper bound d (

) of invalid digital signatures

together with higher time-efficiency and stronger error-tolerance by comparing with individual testing and binary splitting algorithms especially when multiple processors are available.

关键词

Keywords

references

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