摘要
针对现有在标准模型下强不可伪造签名方案效率不高的问题,提出了1个新的高效签名方案.利用椭圆曲线上的双线性对,基于计算性Diffie-Hellman数学困难问题假设,证明新方案具有强存在性不可伪造.在新方案中,用户的公/私钥分别包含6个和1个乘法循环群G中的元素,签名中含有2个群G中的元素,在签名阶段需要3个指数运算,在验证阶段需要2个双线性对运算和1个指数运算.结果表明,与现有的标准模型下强不可伪造签名方案相比,新方案具有更短的公/私钥长度和签名长度,降低了签名和验证阶段的计算耗时,具有高效性,适用于资源受限的环境.
To solve the low efficiency of existing strongly unforgeable signature schemes in standard model,a new efficient signature scheme was proposed.Based on the computational Diffie-Hellman(CDH) hard problem assumption of bilinear pairing on elliptic curves,the proposed scheme was proved to be strongly unforgeable.For the proposed scheme,the public key contains six group elements with a single group element of secret key,and the signature includes two group elements.There are three exponential computations in the signing algorithm with one exponential and two pairing computations in the verification stage.The results show that compared with the existing strongly unforgeable signature schemes in standard model,the new scheme has a shorter length of public/secret key and signature with decreased computation time of signing and verification algorithms.The proposed scheme is suitable for the constrai-ned resource communication environments with high efficiency.
出处
《江苏大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2013年第3期309-313,共5页
Journal of Jiangsu University:Natural Science Edition
基金
国家自然科学基金资助项目(61100229
61173151
11101321)
信息安全国家重点实验室开放基金资助项目(GW0704127001)
网络与数据安全四川省重点实验室开放基金资助项目(DF0305107001)
中央高校基本科研业务费资助项目(K5051270003)
陕西省教育厅科研计划项目(12JK0852)
关键词
数字签名
哈希函数
强不可伪造
标准模型
双线性对
digital signature
hash function
strong unforgeability
standard model
bilinear pairing