Strongly secure privacy amplification cannot be obtained by encoder of Slepian-Wolf code

Strongly secure privacy amplification cannot be obtained by encoder of Slepian-Wolf code
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DOI:
10.1587/transfun.e93.a.1650
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发表时间:
2009-03
期刊:
2009 IEEE International Symposium on Information Theory
影响因子:
--
通讯作者:
Shun Watanabe;R. Matsumoto;T. Uyematsu
Shun Watanabe;R. Matsumoto;T. Uyematsu
中科院分区:
其他
文献类型:
--
作者:
Shun Watanabe;R. Matsumoto;T. Uyematsu

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隐私放大是一种通过哈希函数从随机变量中提取密钥的技术,使得提取的密钥和窃听者的随机变量在统计上是独立的。隐私放大提取的密钥有两种安全标准:弱安全标准和强安全标准。作为一种提取秘密密钥的技术,众所周知,如果我们使用弱安全准则,则Slepian-Wolf(在解码器具有完整边信息的信源编码)码的编码器可以用作用于隐私放大的散列函数。在本文中,我们证明了如果使用强安全准则,Slepian-Wolf码的编码器不能用作用于隐私放大的哈希函数。
The privacy amplification is a technique to distill a secret key from a random variable by a hash function so that the distilled key and an eavesdropper's random variable is statistically independent. There are two kinds of security criteria for the key distilled by the privacy amplification: the weak security criterion and the strong security criterion. As a technique to distill a secret key, it is known that the encoder of a Slepian-Wolf (the source coding with full side-information at the decoder) code can be used as a hash function for the privacy amplification if we employ the weak security criterion. In this paper, we show that the encoder of a Slepian-Wolf code cannot be used as a hash function for the privacy amplification if we employ the strong security criterion.