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• W1955330666 abstract "We explicitly construct random hash functions for privacy amplification (extractors) that require smaller random seed lengths than the previous literature, and still allow efficient implementations with complexity $O(nlog n)$ for input length $n$. The key idea is the concept of dual universal$_2$ hash function introduced recently. We also use a new method for constructing extractors by concatenating $delta$-almost dual universal$_2$ hash functions with other extractors. Besides minimizing seed lengths, we also introduce methods that allow one to use non-uniform random seeds for extractors. These methods can be applied to a wide class of extractors, including dual universal$_2$ hash function, as well as to conventional universal$_2$ hash functions." @default.
• W1955330666 created "2016-06-24" @default.
• W1955330666 creator A5024634142 @default.
• W1955330666 creator A5044733765 @default.
• W1955330666 date "2016-04-01" @default.
• W1955330666 modified "2023-09-26" @default.
• W1955330666 title "More Efficient Privacy Amplification With Less Random Seeds via Dual Universal Hash Function" @default.
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• W1955330666 doi "https://doi.org/10.1109/tit.2016.2526018" @default.
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