论文标题
随机嵌套的极性子代码构造,用于隐私,保密和存储
Randomized Nested Polar Subcode Constructions for Privacy, Secrecy, and Storage
论文作者
论文摘要
我们认为与相应的PC相比,我们考虑具有动态固定符号的极性代码(PSC),以增加最小距离。提出了一个具有低速PSC和高速PC的随机嵌套PSC结构,用于列表和连续的取消解码器。该代码构建旨在通过侧面信息执行有损压缩。嵌套的PSC用于物理标识符的关键协议问题。与列表大小相同的嵌套PC相比,秘密钥匙与存储率比率的增益显示,表明嵌套的PSC在嵌套PC上显着改善。显示嵌套PSC的性能可以随着较大的列表大小而改善,而考虑到嵌套的PC并非如此。
We consider polar subcodes (PSCs), which are polar codes (PCs) with dynamically-frozen symbols, to increase the minimum distance as compared to corresponding PCs. A randomized nested PSC construction with a low-rate PSC and a high-rate PC, is proposed for list and sequential successive cancellation decoders. This code construction aims to perform lossy compression with side information. Nested PSCs are used in the key agreement problem with physical identifiers. Gains in terms of the secret-key vs. storage rate ratio as compared to nested PCs with the same list size are illustrated to show that nested PSCs significantly improve on nested PCs. The performance of the nested PSCs is shown to improve with larger list sizes, which is not the case for nested PCs considered.