Coding Theorems for Information-Theoretically Secure Systems with Stochastic Encoders

在这项研究中，我们分析了随机编码器的信息系统，并开发了新的结果。首先，我们建立了具有一般信源的Shannon密码系统的新的编码定理，其中系统的编码器可以是随机的。我们还提出了一个新的简单的n-out-of-n门限方案，该方案是安全的，可以抵抗股东的替换攻击。此外，我们考虑了数字指纹代码的版权保护，使用有限的投影平面，并获得的条件下，所有的恶意用户可识别的盗版内容。

In this study we analyzed information systems with stochastic encoders and developed new results. First, we established novel coding theorems for Shannon's cipher system with a general source, where an encoder of the system can be stochastic. We also proposed a new simple n-out-of-n threshold scheme that is secure against a substitution attack by shareholders. In addition, we considered a digital fingerprinting code for copyright protection using a finite projective plane and obtained conditions under which all the malicious users are identifiable from a pirated content.