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- W2029290247 abstract "The bit commitment can be realized by using a noisy channel. Winter-Nascimento-Imai showed that the bit commitment capacity of a noisy channel is given by C <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>b</sub> = max <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>pN</sub> H(XY) where X and Y are the input and output of the channel. In this paper, the idea of a multiplex coding, which was first introduced into the coding problem of a wiretap channel by Kobayashi-Yamamoto-Ogawa, is applied to the bit commitment coding. The coding theorem is proved for the multiplex coding of bit commitment based on a noisy channel, and it is shown that several mutually independent secrets can be committed at the same time via a nosiy channel attaining the perfect secrecy of each secret with the total coding rate log X, where X is the cardinality of channel input alphabet." @default.
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- W2029290247 date "2007-06-01" @default.
- W2029290247 modified "2023-10-14" @default.
- W2029290247 title "Multiplex Coding of Bit Commitment Based on a Discrete Memoryless Channel" @default.
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- W2029290247 doi "https://doi.org/10.1109/isit.2007.4557310" @default.
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