At Crypto-87 conference, we proposed identity-based key distribution systems for generating a common secret conference key for two or more users. Protocols were shown for three configurations: a ring, a complete graph, and a star. Yacobi has made an impersonation attack on the protocols for the complete graph and star networks. This paper proposes improved identity-based key distribution protoc...

The aim of the paper is to study the robustness features of the generalized normal distribution. To this end the properties of maximum likelihood estimators of the location and scale parameters are investigated and compared with those of the Huber proposal II estimator and with those of the estimators of the Student t distribution.

This paper presents a survey of key distribution schemes for wireless sensor networks. This survey includes the new approach of key distribution using the piggy bank method. Different Network architectures and different key pre-distribution schemes are described. The survey includes the use of the piggy bank approach to cryptography in which part of the key is pre-distributed and the remainder ...

1. Fréchet space C∞[a, b] 2. Fréchet space of smooth functions E = C∞(Rn) 3. Fréchet space of Schwartz functions S on R 4. LF-space of test functions D on R 5. Generalized functions (distributions) D∗, S ∗, E∗ as linear functionals 6. Generalized functions D∗, S ∗, E∗ as completions of D 7. Fourier transforms of tempered distributions 8. Distributions supported at a point 9. Appendix: weak dual...

The Lagrangian velocity statistics of dissipative drift-wave turbulence are investigated. For large values of the adiabaticity (or small collisionality), the probability density function of the Lagrangian acceleration shows exponential tails, as opposed to the stretched exponential or algebraic tails, generally observed for the highly intermittent acceleration of Navier-Stokes turbulence. This ...

In this paper we present two novel reflectance measurement procedures that requiresampling

To understand the natural numbers, we must first understand the primes. Yet the behavior of the primes remains for the most part a mystery. For example, despite the efforts of many great mathematicians over hundreds of years, we still know very little about how the primes are distributed (scattered) throughout the natural numbers. The results and conjectures pertaining to the distribution of th...

We study the asymptotical behavior of the p-adic singular Fourier integrals Jπα,m;φ(t) = 〈 fπα;m(x)χp(xt), φ(x) 〉 = F [ fπα;mφ ] (t), |t|p → ∞, t ∈ Qp, where fπα;m ∈ D ′(Qp) is a quasi associated homogeneous distribution (generalized function) of degree πα(x) = |x| α−1 p π1(x) and orderm, πα(x), π1(x), and χp(x) are a multiplicative, a normed multiplicative, and an additive characters of the fi...