Koblitz curves have been a nice subject of consideration for both theoretical and practical interests. The window τ -adic algorithm of Solinas (window τNAF) is the most powerful method for computing point multiplication for Koblitz curves. Precomputation plays an important role in improving the performance of point multiplication. In this paper, the concept of optimal pre-computation for window...

| The paper deals with the formal speciication of a general-purpose multimedia synchronization mechanism, known as the conditional delivery mechanism capable of addressing both intra-and inter-stream synchronization issues. The proposed mechanism, initially introduced in 3, 11], is based on the identiication of causal relations among information units of one or several streams and has the purpo...

Under a suitable sparsity condition on the exponents Λ = {λk = τk+ iσk}, it is shown that the individual terms cT = {ck ek} can be obtained from observation of the L function f(t) = ∑ ck e iλkt through the ‘window’ t ∈ [0, δ] — with an ` estimate (uniform for such Λ) asymptotically as T, δ → 0. Some applications are given to control theory for partial differential equations.

Let Ea : y 2 + xy = x + ax + 1/F2m be a Koblitz curve. The window τ -adic nonadjacent-form (window τNAF) is currently the standard representation system to perform scalar multiplications on Ea by utilizing the Frobenius map τ . Pre-computation is an important part for the window τNAF. In this paper, we first introduce μτ̄ -operations in lambda coordinates (μ = (−1)1−a and τ̄ is the complex conjug...

BACKGROUND Parental height data are essential in the assessment of linear growth in children. A number of studies have documented inaccuracy in self-reported adult height. AIMS To determine whether there is a tendency for men to overestimate and women to underestimate their height. METHODS Heights of parents of children attending outpatient clinics were measured (MHt) and compared with repo...

Infectious bursal disease (IBD) is an immunosuppressive, acute and highly contagious illness of growing-poultry stock infected with infectious bursal disease virus (IBDV). It is common in Pakistan, causing potential economic losses throughout the year. The objective of the study is to propose a rapid, sensitive and specific diagnostic tool, and compare it with existing commonly used reverse tra...