We propose a variation of Construction A of lattices from linear codes defined using the quotient Λ/pΛ of some order Λ inside a cyclic division F -algebra, for p a prime ideal of a number field F . To obtain codes over this quotient, we first give an isomorphism between Λ/pΛ and a ring of skew polynomials. We then discuss definitions and basic properties of skew polynomial codes, which are need...

We present a new, parallel version of the Numerical Electromagnetics Code (NEC). The parallelization is based on a bi-dimensional block-cyclic distribution of matrices on a rectangular processor grid, assuring a theoretically-optimal load balance among the processors. The code is portable to any platform supporting message passing parallel environments such as MPI and PVM where it could even be...

We disprove a conjecture of Bultena and Ruskey [1], that all trees which are cyclic graphs of cyclic Gray codes have diameter 2 or 4, by producing codes whose cyclic graphs are trees of arbitrarily large diameter. We answer affirmatively two other questions from [1], showing that strongly Pn × Pncompatible codes exist and that it is possible for a cyclic code to induce a cyclic digraph with no ...

We develop a computer code that uses elegant bit-manipulation techniques for matrix multiplication and thus facilitates exhaustive generation of Skew-Hadamard matrices. Hadamard matrices are useful in spectroscopic applications (Hadamard transform spectroscopy) and in balanced chemical designs. Application of our code yields several Skew-Hadamard matrices up to order 100 X 100, although the com...

We study the two-dimensional fractional Brownian motion with Hurst parameter H > 1 2. In particular, we show, using stochastic calculus , that this process admits a skew-product decomposition and deduce from this representation some asymptotic properties of the motion.

In this study, two-dimensional circular thickness effects on time period of skew plate made with nonhomogeneous material properties are computed in variable temperature environment. Clamped C , simply supported id="M2"> S and free-edge id="M3"...

The paper reviews the modeling of damage by the microplane model and presents extensions required for cyclic loading. The general microplane constitutive model is implemented in a three-dimensional finite element code and used in damage and bifurcation analysis of various structures. The results of the analysis are compared with test results and some of the comparisons are shown in the present ...