Wiretap Channel With Side Information

Some New Results on the Wiretap Channel with Side Information

“…Then, it is natural to think about whether the memoryless side information can help to obtain the same secrecy capacity as that of the wiretap channel with causal side information, and this is also our motivation on the study of the memoryless model. Compared with [9], the inner bound on the capacity-equivocation region for the noncausal manner of this paper, in fact, is equivalent to the achievable region in [9]. However, the region provided in this paper is easier to understand than that of [9].…”

“…Based on the dirty paper channel, C. Mitrpant et al [8] studied the Gaussian wiretap channel with side information, and provided an inner bound on the capacity-equivocation region. Furthermore, Y. Chen et al [9] investigated the discrete memoryless wiretap channel with noncausal side information, and also provided an inner bound on the capacity-equivocation region. Note that the coding scheme of [9] is a combination of those in [1,6].…”

“…Furthermore, Y. Chen et al [9] investigated the discrete memoryless wiretap channel with noncausal side information, and also provided an inner bound on the capacity-equivocation region. Note that the coding scheme of [9] is a combination of those in [1,6]. Chen et al [9] generalize Mitrpant et al's work [8] by extending the Gaussian channel to the discrete memoryless channel (DMC), i.e., the result of [8] can be obtained from that of [9].…”

“…Note that the coding scheme of [9] is a combination of those in [1,6]. Chen et al [9] generalize Mitrpant et al's work [8] by extending the Gaussian channel to the discrete memoryless channel (DMC), i.e., the result of [8] can be obtained from that of [9]. Recently, N. Merhav [10] studied a variation of the wiretap channel, and obtained the capacity-equivocation region, where both the legitimate receiver and the wiretapper have access to some leaked symbols from the source, but the channels for the wiretapper are more noisy than the legitimate receiver, which shares a secret key with the encoder.…”

“…Both the main channel and the wiretap channel are discrete memoryless channels. Inner and outer bounds are derived on the capacity-equivocation regions for the noncausal and causal manners (the inner bound for the noncausal manner is in fact equivalent to that of [9]), and the secrecy capacity for both manners is described and bounded. Moreover, for the case that the side information is available at the transmitter in a memoryless manner (at time i, the encoder is only allowed to use the side information V i ), both the capacity-equivocation region and the secrecy capacity are determined.…”