Conditional Rényi Entropies

Conditional Rényi Entropies
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条件 Rényi 熵

DOI:
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发表时间:
2012
影响因子:
2.5
通讯作者:
L. Antunes
L. Antunes
中科院分区:
计算机科学2区
文献类型:
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作者:
Andreia Teixeira;Armando B. Matos;L. Antunes

文献摘要

被引文献

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没有普遍接受的条件雷尼熵的定义。(无条件的)雷诺熵依赖于一个参数α,对于最小熵的情况,α取值∞。即使在这种特殊情况下,也有几种关于条件熵定义的建议。本文描述了文献中发现或建议的条件雷尼熵的三个一般定义。它们的性质进行了研究,并比较了它们的值,作为α的函数。最小熵的特殊情况在密码学中被广泛用作安全参数,这种情况下进行了详细的研究。
There is no generally accepted definition of conditional Rényi entropy. The (unconditional) Rényi entropy depends on a parameter α, which for the case of min-entropy takes the value ∞. Even for this particular case, there are several proposals for the definition of conditional entropy. This paper describes three general definitions of conditional Rényi entropy that were found or suggested in the literature. Their properties are studied and their values, as a function of α, are compared. The particular case of min-entropy is widely used in cryptography as a security parameter; this case is studied in some detail.