基于RSA密码体制的门限代理签名

在一个(t,n)门限代理签名体制中,原始签名者可以将他的签名权利以门限的方式委托给n个代理签名者,至少t个代理签名者合作,可以产生相应的代理签名,而任何少于t个代理签名者则不能.目前已经有很多基于离散对数问题的门限代理签名方案,但是并没有出现一个真正意义上的基于RSA密码体制的门限代理签名方案.鉴于RSA在理论及应用中的重要性,基于RSA构造门限代理签名体制是必要的.文中借助于RSA秘密共享的思想,构造了一个安全、有效的RSA门限代理签名方案.在文中的方案中,没有使用可信权威,所有的秘密参数都是由参与者分布式产生的.

Threshold Proxy Signature Scheme Based on RSA Cryptosystems

In a (t,n) threshold proxy signature scheme, the original signer delegates the power of signing messages to a designated proxy group of n members. Any t or more proxy signers of the group can cooperatively issue a proxy signature on behalf of the original signer, but (t-1) or less proxy signers cannot. Previously, all of the proposed threshold proxy signature schemes have been based on the discrete logarithm problem, and there has not a RSA-based scheme. However, it is necessary to build a RSA-based threshold proxy signature scheme because of the importance of RSA system. Using the Threshold-RSA method, the authors construct a secure RSA-based threshold proxy signature scheme. In the scheme, a Trust Authority (TA) is not needed and all of the secret parameters are generated in a distributed way.