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- W3197010125 abstract "The compound secure groupcast problem is considered, where the key variables at <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$K$</tex> receivers are designed so that a transmitter can securely groupcast a message to any <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$N$</tex> out of the <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$K$</tex> receivers through a noiseless broadcast channel. The metric is the information theoretic tradeoff between key storage <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$alpha$</tex> , i.e., the number of bits of the key variable per message bit, and broadcast bandwidth <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$beta$</tex> , i.e., the number of bits of the broadcast information per message bit. We present two results. First, when broadcast bandwidth is minimized, i.e., when <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$beta=1$</tex> , we show that the minimum key storage is <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$alpha=N$</tex> . Second, when key storage is minimized, i.e., when <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$alpha=1$</tex> , we show that broadcast bandwidth <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$beta=min(N, K-N+1)$</tex> is achievable." @default.
- W3197010125 created "2021-09-13" @default.
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- W3197010125 date "2021-07-12" @default.
- W3197010125 modified "2023-10-16" @default.
- W3197010125 title "Compound Secure Groupcast: Key Assignment for Selected Broadcasting" @default.
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- W3197010125 doi "https://doi.org/10.1109/isit45174.2021.9518149" @default.
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