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Optimality is actually not a well-defined term for secret sharing, and can refer to a number of different issues. First, one issue that is often considered is the size of the share that each party holds in the scheme. If the size of a party's share equals the size of the secret itself, then the secret sharing scheme is called ideal. (Formally, we don't talk ...


A solution is given by Peter Ryan, Crypto Santa. In The New Codebreakers, vol. 9100 of Lecture Notes in Computer Science, pp. 543-549, Springer, 2016. An earlier version (with Sjouke Mauw and Sasa Radomirovic) can be found at (Open access), Security protocols for Secret Santa.

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