Study of the rate-distortion theory for Shannon cipher system

得到了Shannon密码体制的如下编码定理：(A)对于噪声较小的离散广播信道，确定了正则接收机的密码率R、密钥率R_k、安全等级h和允许失真的可达域；(B)对于高斯窃听信道，确定了正则接收机的密码率R、密钥率R_k、安全等级h和容许失真的可达域；(B)对于高斯窃听信道，确定了常规接收机的密码率R、密钥率R_k、安全等级h和容许失真的可达区域。安全等级：窃听者可达到的最小失真)(A)对于噪声较小的离散广播信道，推导了密码速率R、密钥速率R_k、安全等级D的可达区域的内界和外界，以及常规接收器的容许失真。(B)对于高斯窃听信道的情况，推导了常规接收机的密码速率R、密钥速率R_k、安全等级D和容许失真的内界和外界。给出了密码速率R、密钥速率Rk、安全级别D和规则接收器允许失真的可达区域的内界和外界。

In this study, the following coding theorems are obtained for the Shannon cipher system.Case 1 (Secret information : discrete, Security level : entropy of secret information conditioned cryptogram)(a) For the case of less-noisy discrete broadcast channel, the achievable region of cryptogram rate R,key rate R_k, security level h, and admissible distortion of regular receiver is determined.(b) For the case of the Gaussian wiretap channel, the achievable region of cryptogram rate R,key rate R_k security level h, and admissible distortion of regular receiver is determined.Case 2 (Secret information : continuous, Security level : attainable minimum distortion of wiretappers)(a) For the case of less-noisy discrete broadcast channel, inner and outer bounds of the achievable region of cryptogram rate R,key rate R_k, security level D,and admissible distortion of regular receiver are derived.(b) For the case of the Gaussian wiretap channel, inner and outer bounds of the achievable region of cryptogram rate R,key rate R_k, security level D,and admissible distortion of regular receiver are derived.Case 3 (Secret information : discrete, Security level : attainable minimum distortion of wiretappers)(a) For the case of noiseless channel, inner and outer bounds of the achievable region of cryptogram rate R,key rate R_k, security level D,and admissible distortion of regular receiver are derived.