We propose a new offline check system that allows refunds to be reused in payments. In this system, a shop issues a new check, called a refund check, for the change. The form of the refund check is much simpler than that of existing checks, and uses a more flexible and efficient denomination method. The new system also provides tracing mechanisms to counter criminal acts and considers the atomicity of transactions occurring in the system.

In an RFID search protocol, a reader uses a designated query instead of an unspecified query commonly used in RFID authentication protocols. Due to this fundamental difference, techniques used in RFID authentication protocols may not be suitable for RFID search protocols. Tan et al.'s protocol, however, is based on techniques used in previous works such as using random values. In this paper, we propose two RFID search protocols, one based on static ID and the other based on dynamic ID, both which does not require additional measures to satisfy security requirements of RFID protocols. We achieve this by using counters.

An efficient anonymous cash system based on the hash chain is presented. The new system is debit-based and vendor-independent. It also provides tracing mechanisms to reinforce controls on illegal use. The efficiency of the system results from its capacity to pay variable amounts with no additional cost. A client always makes a single blind signature, independent of the length of the chain. During payment, the client makes a single challenge-and-response or one signature, independent of the amount paid.

In a mobile computing environment, the characteristics of wireless communication and host mobility are important considerations in providing an efficient payment service. Currently, most payment systems were not intended for use in a mobile environment, and as such they inherently possess some inefficient properties. In this paper, we propose a new micropayment system (AMPS), designed for use in a mobile computing environment. AMPS reduces the computational load of mobile hosts by directing operations normally performed by the client to the static portion of the network. With AMPS, a client's request for goods goes to a TTP server, called the AMPS server, using only one message. The client can also be disconnected while the AMPS server deals with the merchant, reducing communication costs and power consumption. User privacy is protected by hiding the details of the payment to the AMPS server. The AMPS server can also provide client anonymity to merchants. Another advantage of AMPS is the provision of transaction atomicity by checking goods and money before forwarding to clients or merchants, and preserving all necessary information for any possible future disputes.