Credit-based electronic payment systems are considered to play important roles in future automated payment systems. Like most other types of payment systems, however, credit-based systems proposed so far generally involve computationally expensive cryptographic operations. Such a relatively heavy computational load is preventing credit-based systems from being used in applications which require very fast processing. A typical example is admission-fee payment at the toll gate of an expressway without stopping a vehicle that travels at a high speed. In this article, we propose a very fast credit-based electronic payment protocol for admission-fee payment. More specifically, we propose a payment system between a high-speed vehicle and a toll gate which uses only very simple and fast computations. The proposed system makes use of an optimized Key Pre-distribution System (or KPS) to obtain high resistance against collusion attacks.

Quantum cryptography has two advantages in comparison with conventional cryptography: one is that its security is guaranteed by a fundamental physical law, and the other is that it can detect eavesdropping. In this paper, we focus on an experimental realization of quantum cryptography as a total security system. To realize this, we adopt an interferometric optical system using Faraday mirror and improve its optical system. We also utilize semiconductor laser at a short wavelength (830 nm). As a result, we have successfully implemented quantum cryptosystem including error correction and privacy amplification. We confirmed that key distribution was performed at a rate of 1.1 kbps with a 1.7% QBER (quantum bit error rate) over a distance of 200 m (optical fiber). We also show our experimental results over a distance of 1 km (optical fiber) at a rate of 0.76 kbps.

ID-based key sharing scheme is one of the important topics in Key management, and the Key Predistiribution System (KPS) is one of the major divisions of such key sharing schemes. In KPS, in order to share a common key between the participants, one of the participants need to simply feed-in his partner's identifier value into their secret-algorithm. In contrast to its such remarkable property and its high contribution to the field of key management for digital signature, it has downsides as well. In this paper, we propose an efficient signature scheme on the KPS infrastructure that can overcome such difficulties that are faced. It is shown that if an ID-based key sharing system belonging to KPS is provided, the new digital signature scheme can be used straightforwardly. Moreover, this signature scheme is proven to be secure if the discrete logarithm is reasonably complex. There already exists other digital signature scheme which are also based on KPS, but they contain inevitable flaws: its verifier is restricted and a tamper resistant module(TRM) is required. Our method resolved these problems. In our signature scheme, it is an ensured fact that, all signatures are authenticated by any entity, which is based on the inherence behavior of key generator and not of some common key. Moreover, TRM is not required in our scheme. In order to describe our new scheme, a new concept of "one-way homomorphism" is introduced.

Efficient ID-based key sharing schemes are desired worldwide in order to obtain secure communications on the Internet and other related networks, and Key Pre-distribution System (KPS) is one of the majority of such key sharing schemes. The remarkable property of KPS, is that, user need only input the partner's identifier to the secret KPS-algorithm in order to share a key between them. Although this is just a small part of many advantages KPS has in terms of efficiency, an enormous amount of memory is always required to achieve perfect security. While the conventional KPS methods can establish communication links between any pair of entities in a communication system, in most of the practical communication environment, such as in a broadcast system, not all links will be required. In this article, we achieved a desirable method to remove the unnecessary communication links between any pair of entities in a communication system. In our scheme, required memory size per entity was just proportional to the number of entities of the partner's, while that in conventional KPS, it is proportional to the number of entities of the whole communication system. As an example, if an entity communicates with only 1/r others, the memory requirement is reduced to 1/r of the conventional KPS's. Furthermore, it was proven that the obtained memory size was optimum. Overall, our scheme confirmed greater efficiency to achieve secure communication particularly suited in large-scale networks.