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基于中國(guó)剩余定理的門限RSA簽名方案的改進(jìn)

徐甫,  馬靜謹(jǐn)

徐甫, 馬靜謹(jǐn). 基于中國(guó)剩余定理的門限RSA簽名方案的改進(jìn)[J]. 電子與信息學(xué)報(bào), 2015, 37(10): 2495-2500. doi: 10.11999/JEIT150067
引用本文: 徐甫, 馬靜謹(jǐn). 基于中國(guó)剩余定理的門限RSA簽名方案的改進(jìn)[J]. 電子與信息學(xué)報(bào), 2015, 37(10): 2495-2500. doi: 10.11999/JEIT150067
Xu Fu, Ma Jing-jin. Improvement of Threshold RSA Signature Scheme Based on Chinese Remainder Theorem[J]. Journal of Electronics & Information Technology, 2015, 37(10): 2495-2500. doi: 10.11999/JEIT150067
Citation: Xu Fu, Ma Jing-jin. Improvement of Threshold RSA Signature Scheme Based on Chinese Remainder Theorem[J]. Journal of Electronics & Information Technology, 2015, 37(10): 2495-2500. doi: 10.11999/JEIT150067

基于中國(guó)剩余定理的門限RSA簽名方案的改進(jìn)

doi: 10.11999/JEIT150067
基金項(xiàng)目: 

國(guó)家科技重大專項(xiàng)(2012ZX03002003)

Improvement of Threshold RSA Signature Scheme Based on Chinese Remainder Theorem

Funds: 

The National Science and Technology Major Project of China (2012ZX03002003)

  • 摘要: 針對(duì)基于中國(guó)剩余定理的門限RSA簽名方案無(wú)法簽署某些消息，以及部分簽名合成階段運(yùn)算量大的問(wèn)題，論文提出一種基于虛擬群成員的改進(jìn)方法，使得改進(jìn)后的方案能夠簽署所有消息，同時(shí)能夠極大地減少部分簽名合成階段的運(yùn)算量，當(dāng)門限值為10時(shí)，可以將部分簽名合成階段的運(yùn)算量減少為原來(lái)的1/6。對(duì)改進(jìn)方案進(jìn)行了詳細(xì)的安全性和實(shí)用性分析。結(jié)果表明，改進(jìn)方案在適應(yīng)性選擇消息攻擊下是不可偽造的，且其運(yùn)算效率較其他門限RSA簽名方案更高。
    Abstract: To slove the problems that Chinese Remainder Theorem (CRT) based threshold RSA signature scheme can not be used to sign some messages and the amount of computation in partial signatures combining phase is large, an improving method is proposed, in which a virtual group member is introduced, making the scheme can be used to sign all messages and significantly reducing the amount of computation in partial signatures combining phase, e.g. when the threshold value is 10, the amount of computation in partial signatures combining phase can be reduced to 1/6 of the original. The security and practicability of the improved scheme are analyzed. Results show that it is non-forgeable against an adaptive chosen message attack and more efficient than other threshold RSA signatures.
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出版歷程
  • 收稿日期:  2015-01-12
  • 修回日期:  2015-05-28
  • 刊出日期:  2015-10-19

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