We construct a family of linear maximally recoverable codes with locality $r$ and dimension $r+1.$ For length $n$ $r\approx n^\alpha, 0\le\alpha\le 1$ the code alphabet is order $n^{1+3\alpha},$ which improves upon previously known constructions codes.

We consider the general Three-Higgs Doublet Model (3HDM) and identify all limits that lead to exact SM alignment. After discussing underlying symmetries can naturally enforce such an alignment, we focus on most economic setting, called here Maximally Symmetric (MS-3HDM). The potential of MS-3HDM obeys $\mathrm{Sp(6)}$ symmetry, softly broken by bilinear masses explicitly hypercharge Yukawa coup...

one of the most fundamental features of digital image and the basic steps in image processing, analysis, pattern recognition and computer vision is the edge of an image where the preciseness and reliability of its results will affect directly on the comprehension machine system made objective world. several edge detectors have been developed in the past decades, although no single edge detector...