  We propose a new concept of secure list decoding. While the conventional list
decoding requires that the list contains the transmitted message, secure list
decoding requires the following additional security conditions. The first
additional security condition is the impossibility of the correct decoding,
i.e., the receiver cannot uniquely identify the transmitted message even though
the transmitted message is contained in the list. This condition can be
trivially satisfied when the transmission rate is larger than the channel
capacity. The other additional security condition is the impossibility for the
sender to estimate another element of the decoded list except for the
transmitted message. This protocol can be used for anonymous auction, which
realizes the anonymity for bidding.
