A secret sharing scheme in which a trust structure of the parties receiving a share of the secret is encoded in the shares. In this regard, an access structure defining an authorized set of participants may be based, at least in part, on the encoded trust structures. The secret sharing scheme includes a secret generator that generates the shares distributed to the parties. In turn, an authorized set of participants as defined by the access structure may provide shares to a dealer for reconstruction of the secret. However, if the participants requesting secret reconstruction are not an authorized set of participants, the secret reconstruction fails. In this regard, secret sharing with asymmetrical trust structures may be provided in which the trust structures are not known by other parties in the scheme.