首页> 外文会议>IEEE International Symposium on Information Theory >Gaussian wiretap channel with shared keys between transmitter and helpers
【24h】

Gaussian wiretap channel with shared keys between transmitter and helpers

机译:高斯窃听通道,发射器和助手之间具有共享密钥

获取原文

摘要

We study the secure degrees of freedom (d.o.f.) of helper-assisted Gaussian wiretap channel with shared key between the transmitter and the helper. Given that the rate of the key scales with power as γ over 2 log SNR, we show that secure d.o.f. is min{1+γ over 2, 1}. The achievability proof combines real interference alignment with the artificial noise transmission technique. Using the shared key we sample common artificial noise symbols from a PAM constellation at the transmitter and the helper and transmit them in the null space of the legitimate receiver's channel. We further sample independent noise symbols, also from the same PAM constellation, at the transmitter and the helper and align these symbols at the legitimate receiver. The noise symbols together occupy sufficient dimensions to mask the message at the eavesdropper. A converse proof, which extends the technique of Xie and Ulukus to incorporate common randomness, establishes the optimality of secure d.o.f..We also extend the result to the case with M helpers with two different assumptions on the key sharing structure: the transmitter shares a common key or distinct keys with the M helpers. The exact secure d.o.f.s for these two cases, before they saturate to 1, are proved to be M+γ over M+1 and M+Mγ over M+1 respectively.
机译:我们研究了在发射器和辅助对象之间共享密钥的辅助辅助高斯窃听通道的安全自由度(d.o.f.)。假设密钥的速率随γ超过2 log SNR随功率变化而定,我们证明了安全的d.o.f。是min {1 +γover 2,1}。可实现性证明将真实的干扰对准与人工噪声传输技术结合在一起。使用共享密钥,我们在发送器和辅助器处从PAM星座中采样常见的人工噪声符号,并在合法接收器信道的空空间中进行发送。我们还将在相同的PAM星座中,在发射器和辅助器处采样独立的噪声符号,并在合法接收器处对齐这些符号。噪声符号共同占据足够的尺寸,以掩盖窃听者的信息。逆向证明扩展了Xie和Ulukus的技术以合并常见的随机性,确立了安全自由度的最优性。我们还将结果扩展到使用M helper的情况,并在密钥共享结构上有两个不同的假设:发射器共享一个公共键或带有M个助手的不同键。在这两种情况下,在它们饱和到1之前,确切的安全d.o.f.s被证明分别是M + 1上的M +γ和M + 1上的M +Mγ。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号