Universal hash functions (UHFs) have been extensively used in the design of cryptographic schemes. But if we consider related-key attack against the schemes, some of them may not be secure, especially when the key of UHF is a part of the key of scheme. In order to solve the issue, we propose a new concept of related-key almost universal hash function, which is a natural extension to almost univ...

When a continuous line of rabbit kidney cells (RK-13) was exposed to polyriboinosinic acid polyribocytidilic acid [poly(rI).poly(rC)], the cells became resistant to the replication of a ribonucleic acid (RNA) virus, vesicular stomatitis (VSV), but remained susceptible to the replication of two deoxyribonucleic acid (DNA) viruses, pseudorabies and vaccinia. These differences were identical to pr...

in this work, the solubility of nicotine extracted from tobacco leaves, found in the north of iran, in supercritical carbon dioxide has been measured. also the effects of pressure, temperature, extraction dynamic time, and the organic co-solvent on the amount of nicotine extracted from tobacco leaves have been investigated. it should be stressed that in order to reduce significantly the number ...

4. If b ∈ acl(aS), then dp-rk(b/S) ≤ dp-rk(a/S). 5. dp-rk(ab/S) ≤ dp-rk(a/bS) + dp-rk(b/S). We work in a monster model C of a dp-minimal field (i.e., a field of dp-rank 1). “Models” will refer to small elementary substructures M C. We’ll write concatenation multiplicatively and multiplication using ·. We will assume that C is not strongly minimal. One already knows what strongly minimal fields ...

We consider the numerical solution of systems of semi-explicit index 2 differential-algebraic equations (DAEs) by methods based on RungeKutta (RK) coefficients. For nonstiffly accurate RK coefficients, such as Gauss and Radau IA coefficients, the standard application of implicit RK methods is generally not superconvergent. To reestablish superconvergence projected RK methods and partitioned RK ...

To the Editor: Radial keratotomy (RK) can be effective in reducing low to moderate amounts of myopia. Occasionally, a patient will “under-respond” to the RK procedure and be left with significant residual myopia. The refractive surgeon may then be presented with a situation where the patient desires more myopic reduction, but the surgeon does not want to perform another RK (for fear of inducing...

We study Tukey types of ultrafilters on ω, focusing on the question of when Tukey reducibility is equivalent to Rudin-Keisler reducibility. We give several conditions under which this equivalence holds. We show that there are only c many ultrafilters that are Tukey below any basically generated ultrafilter. The class of basically generated ultrafilters includes all known ultrafilters that are n...

In this paper, we introduce a new geometric description of the manifolds matrices fixed rank. The starting point is Grassmann manifold Gr(Rk) linear subspaces dimension r<k in Rk, which avoids use equivalence classes. set equipped with an atlas, provides it structure analytic modeled on R(k?r)×r. Then, define atlas for Mr(Rk×r) full rank and prove that resulting principal bundle base typical...