In the execution on a smart card, side channel attacks such as simple power analysis (SPA) and the differential power analysis (DPA) have become serious threat [15]. Side channel attacks monitor power consumption and even exploit the leakage information related to power consumption to reveal bits of a secret key d although d is hidden inside a smart card. Almost public key cryptosystems including RSA, DLP-based cryptosystems, and elliptic curve cryptosystems execute an exponentiation algorithm with a secret-key exponent, and they thus suffer from both SPA and DPA. Recently, in the case of elliptic curve cryptosystems, DPA is improved to the Refined Power Analysis (RPA), which exploits a special point with a zero value and reveals a secret key [10]. RPA is further generalized to Zero-value Point Attack (ZPA) [2]. Both RPA and ZPA utilizes a special feature of elliptic curves that happens to have a special point or a register used in addition and doubling formulae with a zero value and that the power consumption of 0 is distinguishable from that of an non-zero element. To make the matters worse, some previous efficient countermeasures are neither resistant against RPA nor ZPA. Although a countermeasure to RPA is proposed, this is not universal countermeasure, gives each different method to each type of elliptic curves, and is still vulnerable against ZPA [30]. The possible countermeasures are ES [3] and the improved version [4]. This paper focuses on countermeasures against RPA, ZPA, DPA and SPA. We show a novel countermeasure resistant against RPA, ZPA, SPA and DPA without any pre-computed table. We also generalize the countermeasure to present more efficient algorithm with a pre-computed table.

The level of (1-->3)-beta-D-glucan in blood is a diagnostic index of fungal infection because it is released from the fungal cell wall. However, high levels of plasma (1-->3)-beta-D-glucan in patients administered blood components may give false positive results. High levels of (1-->3)-beta-D-glucan have been detected in blood components. We suspected that (1-->3)-beta-D-glucan from cellulose filters had been eluted into blood components by filtration in the manufacturing process. To investigate the contamination of blood components by (1-->3)-beta-D-glucan from cellulose filters, in vitro experiments were performed by using six cellulose filters and a nylon filter. Human serum albumin (HSA) solution (100 ml) was flowed through each filter after rinsing with 100 ml of distilled water, and (1-->3)-beta-D-glucan in each fraction was determined by Fungitec G test MK. The concentration of (1-->3)-beta-D-glucan eluted from cellulose filters in 100-ml distilled water fractions ranged from 6 to 207 pg/ml, and that of HSA fractions ranged from 33 to 20,784 pg/ml. These data showed that remarkably higher (1-->3)-beta-D-glucan levels were detected in HSA fractions flowed through cellulose filters in spite of advance rinsing with 100 ml of distilled water. In the case of a nylon filter, (1-->3)-beta-D-glucan was not eluted in either fraction. These results indicate that (1-->3)-beta-D-glucan contamination in blood components is caused by filtration with cellulose filters in the manufacturing process.

No abstract

No abstract

An optimal consumption problem is studied in a growth model for the Cobb-Douglas production function in a finite horizon. The problem is transferred into a stochastic Ramsey problem so as to reduce the dimension of the state space. The corresponding state equation is a stochastic differential equation with inherently non-Lipschitz coefficients, whose unique solvability is established. The unique existence of the classical solution of the Hamilton-Jacobi-Bellman equation associated with the original problem is proved, and a synthesis of the optimal consumption policy is presented in the feedback form.