Abstract
A method for sharing secret keys that is informationtheoretically secure is an important problem in the area of cryptography. By randomly distributing cards to players, it is possible to provide random information with which information-theoretically secure secret keys can be shared by players. This paper formulates sharing secret keys along a Eulerian circuit for information transmission for which the receipt can be confirmed and provides a protocol for its realization. The conditions for the success of the protocol for sharing secret keys along a Eulerian circuit are identified. Further, under the natural assumption that the same numbers of cards are distributed to each player, it is shown that the number of cards distributed is a minimum. © 1999 Scripta Technica, Electron Comm Jpn Pt 3, 83(4): 3342, 2000
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