基于RSA的广播加密新方案

根据 RSA 加密系统和小公钥的动态放大技术，提出了一种面向不同组的用户的广播加密新方案。在新方案中，每个用户都采用相同的小公钥，利用它可同时对不同组的接收者进行广播加密传送消息。加密阶段发送者根据接收用户数计算安全的放大因子，然后引入随机整数，将明文消息加密生成广播传送的密文。这样不仅提高了RSA 的加密速度，而且可同时抵御低指数攻击和重发攻击，并实现对不同组的接收者进行广播加密传送消息。
关键词：RSA；广播加密；低指数攻击；重发攻击
Abstract: In this paper, a new broadcast encryption scheme of RSA oriented multi-recipient is
presented, according to the protocol of RSA and the enlarging the small public key technology. This protocol allows multi-recipient using the same public key, use it the sender can transmit the cryptograph to multi-recipient at once time by broadcast. During the process of encrypting, the sender calculates a number to enlarge the public key based the number of recipients and selects a random number, then encrypts the message to cryptograph which can be transmit by broadcast. Therefore, it can enhance the encryption speed of RSA while withstanding the low exponent attack and multi-sending attack. More important, this protocol is provided with the function of transmit message to multi-recipient by broadcast. So it can be use in many domain of information.
Key words: RSA; Broadcast encryption; low exponent attack; multi-sending attack