A Family of Five-Weight Cyclic Codes and Their Weight Enumerators

Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, a family of $p$-ary cyclic codes whose duals have three zeros are proposed. The weight distribution of this family of cyclic codes is determined. It turns out that the proposed cyclic codes have five nonzero weights.Comment: 14 Page

Adaptive Measurement Method for Area Chromatic Confocal Microscopy

Although well known for its depth discerning capability, conventional confocal microscopy has limited application due to its slow scanning speed. From Nipkow disk to various programmable spatial light modulator, various research has been conducted with the aim of improving the speed of confocal microscopy. Nevertheless, the fundamental conflict between axial sensitivity and lateral density remains unsolved. In this report, a novel adaptive measurement method is proposed based on iterative refinement of the axial measurement as well as condensation of the lateral measurement grid. Initial experimental investigation has shown overall good measurement result with a specific type of artifacts due to inaccurate estimation in earlier measurement stages. Despite of this problem, the proposed system and the accompanying algorithms have shown great potential in improving the measurement speed of area chromatic confocal microscopy

High-speed surface profilometry based on an adaptive microscope with axial chromatic encoding

An adaptive microscope with axial chromatic encoding is designed and developed, namely the AdaScope. With the ability to confocally address any locations within the measurement volume, the AdaScope provides the hardware foundation for a cascade measurement strategy to be developed, dramatically accelerating the speed of 3D confocal microscopy