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改进的超椭圆曲线结构化多重盲签名
引用本文:杨青,辛小龙,李小光.改进的超椭圆曲线结构化多重盲签名[J].工程数学学报,2017,34(3).
作者姓名:杨青  辛小龙  李小光
作者单位:1. 西安航空学院理学院,西安,710077;2. 西北大学数学学院,西安,710069
基金项目:陕西省科技厅项目,陕西省教育厅项目,西安航空学院项目(2015KY1218). Foundation item: The Foundation of Science and Technology Department of Shaanxi Province,the Foundation of Shaanxi Provincial Education Department,the Research Program of Xi'an Aeronautical University
摘    要:安全高效的多重盲签名方案在电子商务和电子现金系统有很多重要的应用.本文对已有的结构化多重签名方案进行了分析和改进,提出快速和高效的基于超椭圆曲线的结构化多重盲签名方案.我们将签名结构从二层扩展为三层,使有序和广播更好的结合,并给出各种情形下的具体算法.最后,比较和分析了改进方案的复杂度和安全性,与已有文献比较,改进方案的运算量减少了(3n+2)TH+(273.8n+32.2)TML.结果表明,改进方案具有运算量低,所需时间少,安全性高且易于实现等优点.

关 键 词:超椭圆曲线  约化除子  盲签名  结构化  多重签名

Improved Structured Blind Multisignature Schemes Based on Hyperelliptic Curves
YANG Qing,XIN Xiao-long,LI Xiao-guang.Improved Structured Blind Multisignature Schemes Based on Hyperelliptic Curves[J].Chinese Journal of Engineering Mathematics,2017,34(3).
Authors:YANG Qing  XIN Xiao-long  LI Xiao-guang
Abstract:Secure and efficient blind multisignature schemes have a number of important applications in electronic commerce and electronic cash systems. Structured multisignature algorithms by reference are analyzed and improved in this paper. We present fast and efficient structured blind multisignature schemes based on hyperelliptic curves. The signature structure is expanded from two levels to three levels, so both sequential and broadcast are better inte-gration. And a variety of specific algorithms are given. Finally, the complexity and security of improved schemes are compared and analyzed. Comparing with current approaches, improved schemes reduce computation costs by (3n+2)T H+(273.8n+32.2)T M L. The results show that improved schemes have the advantages of low computation complexity, low computation time, high security and easy to implement.
Keywords:hyperelliptic curve  reduced divisors  blind signature  structured  multisignature
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