A system allowing a participant to participate anonymously in a plurality
of sessions but to be detected that the same participant has participated
more than once in the same session is disclosed. The participant
authorizes individual data using secret information depending on
session-related information. The reception subsystem determines whether
received data is anonymous participation data authorized by the
participant subsystem and further determines whether anonymous signatures
of arbitrary two pieces of anonymous participation data are signed by an
identical participant subsystem. The anonymous signature may include data
generated by raising a session-dependent base to a power dependent on the
secret information.