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基于国产密码算法SM9的可追踪属性签名方案

唐飞 凌国玮 单进勇

唐飞, 凌国玮, 单进勇. 基于国产密码算法SM9的可追踪属性签名方案[J]. 电子与信息学报, 2022, 44(10): 3610-3617. doi: 10.11999/JEIT210747
引用本文: 唐飞, 凌国玮, 单进勇. 基于国产密码算法SM9的可追踪属性签名方案[J]. 电子与信息学报, 2022, 44(10): 3610-3617. doi: 10.11999/JEIT210747
TANG Fei, LING Guowei, SHAN Jinyong. Traceable Attribute Signature Scheme Based on Domestic Cryptographic SM9 Algorithm[J]. Journal of Electronics & Information Technology, 2022, 44(10): 3610-3617. doi: 10.11999/JEIT210747
Citation: TANG Fei, LING Guowei, SHAN Jinyong. Traceable Attribute Signature Scheme Based on Domestic Cryptographic SM9 Algorithm[J]. Journal of Electronics & Information Technology, 2022, 44(10): 3610-3617. doi: 10.11999/JEIT210747

基于国产密码算法SM9的可追踪属性签名方案

doi: 10.11999/JEIT210747
基金项目: 国家自然科学基金(61702067),重庆市自然科学基金(cstc2020jcyj-msxmX0343)
详细信息
    作者简介:

    唐飞:男,副教授,研究方向为公钥密码学、隐私计算、区块链等

    凌国玮:男,硕士生,研究方向为公钥密码学、隐私计算等

    单进勇:男,博士,研究方向为密码理论与应用、隐私计算等

    通讯作者:

    唐飞 tangfei@cqupt.edu.cn

  • 中图分类号: TP309.7

Traceable Attribute Signature Scheme Based on Domestic Cryptographic SM9 Algorithm

Funds: The National Natural Science Foundation of China (61702067), The Chongqing Natural Science Foundations (cstc2020jcyj-msxmX0343)
  • 摘要: 国产密码算法SM9是我国自主设计的标识密码方案,现已受到各界的广泛关注。为了解决现有属性签名(ABS)方案验签效率不高这一问题,该文基于国密SM9算法构造新的支持树形访问策略的属性签名方案,该方案的验签操作仅需1次双线性对映射和1次指数运算。此外,所提方案具有签名者身份可追踪功能,防止恶意签名者利用属性签名的匿名性进行非法签名操作,从而避免传统属性签名中无条件匿名性下的签名滥用问题。安全分析结果表明所提方案在随机谕言机模型下具有不可伪造性,同时也可抗合谋攻击。与现有的可追踪属性签名方案相比,所提方案的追踪算法效率更高,签名与验签开销也更低。实验结果表明,所提方案验签算法的计算复杂度与策略规模无关,完成1次验签算法仅需2 ms。
  • 表  1  与现有的ABS方案的功能对比

    方案访问策略身份可追踪性
    文献[20]门限策略
    文献[21]树形策略
    文献[22]门限策略
    文献[23]树形策略
    本文方案树形策略
    下载: 导出CSV

    表  2  与现有的ABS方案的效率对比

    方案${{\rm{TASig}}}$${{\rm{TAVer}}}$
    文献[20]$(2{S_{\boldsymbol{\varUpsilon}} } + 2)\exp $$2{S_{\boldsymbol{\varUpsilon}} }{E} + \xi \exp $
    文献[21]$(7{S_{\boldsymbol{\varUpsilon}} } + 14)\exp $$(2{S_{\boldsymbol{\varUpsilon}} } + 6)\exp + 4{E} $
    文献[22]$12\exp $$({S_{\boldsymbol{\varUpsilon}} } + 5)\exp + 4{E} $
    文献[23]$(2{S_{\boldsymbol{\varUpsilon}} } + d + 2)\exp $$({S_{\boldsymbol{\varUpsilon}} } + 2){E} $
    本文方案$|{S_{\boldsymbol{\varUpsilon}} }|{ {{\rm{sca}}} _1} + \exp$${E} + \exp $
    下载: 导出CSV

    表  3  基本运算效率对比(ms)

    运算效率
    ${ {{\rm{sca}}} _1}$0.102
    ${ {{\rm{sca}}} _2}$0.347
    $\exp $0.755
    ${ {{E} } }$0.842
    下载: 导出CSV

    表  4  本文所提方案实验结果(ms)

    ${\text{|} }{S_{\boldsymbol{\varUpsilon}} }{\text{|} }$${\text{Setup}}$${\text{KeyGen}}$${{\rm{TASig}}}$${\text{TAVer}}$
    51.1260.9871.2971.962
    101.1241.4881.8161.968
    151.1191.9972.3131.951
    201.1252.7362.8301.949
    251.1283.1223.3561.962
    下载: 导出CSV

    表  5  与现有的ABS方案的通信与存储对比

    方案系统参数主私钥用户私钥签名
    文献[20]$3\left| {{G_1}} \right| + \left| {{G_T}} \right|$$\left| {{Z_N}} \right|$$(2{S_{\boldsymbol{\varUpsilon}} } + 1)\left| {{G_1}} \right|$$(2{S_{\boldsymbol{\varUpsilon}} } + 2)\left| {{G_1}} \right|$
    文献[21]$4\left| {{G_1}} \right| + 2\left| {{G_T}} \right|$$\left| {{Z_N}} \right|$$4{S_{\boldsymbol{\varUpsilon}} }\left| {{G_1}} \right|$$3\left| {{G_T}} \right| + 4\left| {{Z_N}} \right|$
    文献[22]$2\left| {{G_1}} \right| + \left| {{G_T}} \right|$$2\left| {{Z_N}} \right|$$3{S_{\boldsymbol{\varUpsilon}} }\left| {{G_1}} \right|$$4\left| {{G_1}} \right|$
    文献[23]$3\left| {{G_1}} \right| + \left| {{G_T}} \right|$$\left| {{Z_N}} \right|$$(2{A_{{\rm{ID}}} } + 1)\left| { {G_1} } \right|$$({S_{\boldsymbol{\varUpsilon}} } + 2)\left| {{G_1}} \right|$
    本文方案$\left| {{G_1}} \right| + \left| {{G_2}} \right| + \left| {{G_T}} \right|$$\left| {{Z_N}} \right|$${S_{\boldsymbol{\varUpsilon}} }\left| {{G_1}} \right| + \left| {{G_2}} \right|$${S_{\boldsymbol{\varUpsilon}} }\left| {{G_1}} \right| + \left| {{G_2}} \right| + \left| {{Z_N}} \right|$
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-07-29
  • 修回日期:  2022-01-02
  • 录用日期:  2022-01-05
  • 网络出版日期:  2022-02-01
  • 刊出日期:  2022-10-19

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