Two skew cyclic codes can be equivalent for the Hamming metric only if they have the same length, and only the zero code is degenerate. The situation is completely different for the rank metric, where lengths of codes correspond to the number of outgoing links from the source when applying the code on a network. We study rank equivalences between skew cyclic codes of different lengths and, with...

We present three novel metrics for quantifying bacterial genome composition skews. Skews are asymmetries in nucleotide usage that arise as a result of mutational biases and selective constraints, particularly for energy efficiency. The first two metrics (dot product and cross product of average skew vectors) evaluate sequence and gene annotation of the genome of a single species, while the thir...

In this paper, we study the arithmetics of skew polynomial rings over finite fields, mostly from an algorithmic point of view. We give various algorithms for fast multiplication, division and extended Euclidean division. We give a precise description of quotients of skew polynomial rings by a left principal ideal, using results relating skew polynomial rings to Azumaya algebras. We use this des...

The present article deals with static and dynamic behavior of functionally graded skew plates based on the three–dimensional theory of elasticity. On the basis of the principle of minimum potential energy and the Rayleigh Ritz method, the equations of motion are derived in conjunction with the graded finite element approach. Solution of the resulted system of equations in time domain is carried...

Traditionally, policymakers and financial markets have regarded the “core” consumer price index (CPI) as a key inflation indicator. The core CPI, a special index published by the Bureau of Labor Statistics (BLS), excludes the volatile prices of food and energy. In excluding these components, BLS recognizes that prices that swing dramatically in response to unusual shifts in weather and other un...

A 1.2V 6mW 500MS/s 5-bit ADC for use in a UWB receiver has been fabricated in a pure digital 65nm CMOS technology. The ADC uses a 6-channel time-interleaved successive approximation register architecture. Each of the channels has a split capacitor array to reduce switching energy and sensitivity to digital timing skew. A variable delay line is used to optimize the instant of latch strobing to r...

Many techniques have been developed for detecting the dominant skew angle of printed documents [2]. However sometimes more than one skew angle is represented in the document image. Baird [3] points out that the paste-up of text columns may result in slightly (but significantly) different skew angles and notes the importance of segmenting the columns first in order that individual skew correctio...