A Threshold Cryptosystem without a Trusted Party (Extended abstract)
Torben Pryds Pedersen · Theory and Application of Cryptographic Techniques · 1991
In a threshold cryptosystem n members share the necret key of an organization such that k members (1 5 k 5 n) must cooperate in order to decipher a given uphertext. In this note it is shown how to implement such a scheme without having a trusted party, which selects the secret key and distributes it to the members. In stead, the members choose the secret key and distribute it verifiably among themselves. Subsequently, this key can be used for authentication as well as secret communication.