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针对DeSantis给出的开放问题,提出了公开密钥公开随机性模型下的独立的不经意传输(简称PKPRIOT).首先,给出了IOT的一个非交互式实现,它能够独立地不经意传输多项式条消息.该实现是基于二次剩余假设.由于它受限于多项式次,所以又给出了IOT的另一个非交互式实现,它能够独立地传输任意次消息.但是这个实现要求发送者是诚实的,并且接收者不能独立地选择接收哪条消息.因此给出了第三个交互式的实现.它基于Rivest的BBCS不经意传输,并且比上面两个非交互式实现的效率高得多.这3种实现对于具有无限计算能力的接收者都是安全的.
In order to solve the open problem given by DeSantis, an independent and inadvertent transmission (PKPRIOT) under public key public randomness model is proposed.Firstly, a non-interactive implementation of IOT is given, which can independently and inadvertently transmit polynomial messages This implementation is based on the quadratic residue assumption. Since it is constrained by polynomial times, another non-interactive implementation of IOT is given, which is capable of transmitting any number of messages independently, but this implementation requires the sender to be honest , And the receiver can not independently choose which message to receive, the third interactive implementation is given, which is based on Rivest’s BBCS inadvertently transmitting and is much more efficient than the two non-interactive implementations above. Implementations are safe for recipients with infinite computational power.