Reducing Computations in Chang et al.'s on-line Electronic Check

With the recent popularity of shopping online, on-line electronic check (OLEC) as low-risk and low-cost way to perform payment has become an important component in e-commerce. Recently, Chang et al. propose an OLEC by using hash chain to represent the maximum face value and the face amount on an e-check. However, these values of Chang et al.' s OLEC cannot be arbitrary, and it is infeasible to compute hash operations for too large values. In this paper, we adopt a decimal based hash chain to design an enhanced OLEC (EOLEC). Our EOLEC significantly reduces the hash operations in Chang et al.' s OLEC to provide a much faster transaction, and meanwhile retains its original characteristics. Also, our EOLEC with arbitrary maximum face value and face amount on a check is more like the traditional paper check.