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A complete characterization of a family of key exchange protocols

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Abstract.

Using a random deal of cards to players and a computationally unlimited eavesdropper, all players wish to share a one-bit secret key which is information-theoretically secure from the eavesdropper. This can be done by a protocol to make several pairs of players share one-bit secret keys so that all these pairs form a tree over players. In this paper we obtain a necessary and sufficient condition on the number of cards for the existence of such a protocol.

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Authors and Affiliations

  1. Information Synergy Center, Tohoku University, Aoba-yama, Aoba-ku, Sendai 980-8578, Japan; E-mail: mizuki@isc.tohoku.ac.jp, Fax: +81-22/217-6096, , , , , , JP

    Takaaki Mizuki

  2. Information Synergy Center, Tohoku University, Kawauchi, Aoba-ku, Sendai 980-8576, Japan, , , , , , JP

    Hiroki Shizuya

  3. Graduate School of Information Sciences, Tohoku University, Aoba-yama 05, Aoba-ku, Sendai 980-8579, Japan, , , , , , JP

    Takao Nishizeki

Authors
  1. Takaaki Mizuki
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  2. Hiroki Shizuya
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  3. Takao Nishizeki
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Published online: 29 January 2002

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Mizuki, T., Shizuya, H. & Nishizeki, T. A complete characterization of a family of key exchange protocols. IJIS 1, 131–142 (2002). https://doi.org/10.1007/s102070100011

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  • DOI: https://doi.org/10.1007/s102070100011

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