LCD codes and LCP of codes from units of group rings
A linear code with complementary dual(LCD) is a linear code such that LCD codes are of greatimportance due to their wide range of applications in consumer electronics,storage systems and cryptography. Group rings have a rich source of units. Alsothe well-
Mehmet Emin Köroğlu
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Matrix-Product Codes over Commutative Rings and Constructions Arising from σ,δ-Codes
A well-known lower bound (over finite fields and some special finite commutative rings) on the Hamming distance of a matrix-product code (MPC) is shown to remain valid over any commutative ring R.
Mhammed Boulagouaz, Abdulaziz Deajim
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Observation of accelerating parabolic beams [PDF]
We report the first observation of accelerating parabolic beams. These accelerating parabolic beams are similar to the Airy beams because they exhibit the unusual ability to remain diffraction-free while having a quadratic transverse shift during ...
Bandres, Miguel A. +3 more
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Accurate control of a liquid-crystal display to produce a homogenized Fourier transform for holographic memories [PDF]
We show an accurate procedure to obtain a Fourier transform (FT) with no dc term using a commercial twisted-nematic liquid-crystal display. We focus on the application to holographic storage of binary data pages, where a drastic decrease of the dc term ...
Alvarez, Mariela L. +8 more
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METHOD OF SOFTWARE-BASED COMPENSATION OF TECHNOLOGICAL VARIATION IN CHROMATICITY COORDINATES OF LCD PANELS [PDF]
Subject of research. The problem of software-based compensation of technological variation in chromaticity coordinates of liquid crystal panels is considered.
I. O. Zharinov, O. O. Zharinov
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An agent-based dynamic information network for supply chain management [PDF]
One of the main research issues in supply chain management is to improve the global efficiency of supply chains. However, the improvement efforts often fail because supply chains are complex, are subject to frequent changes, and collaboration and ...
Ahn, H, Lee, H
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Algebraic geometry codes with complementary duals exceed the asymptotic Gilbert-Varshamov bound
It was shown by Massey that linear complementary dual (LCD for short) codes are asymptotically good. In 2004, Sendrier proved that LCD codes meet the asymptotic Gilbert-Varshamov (GV for short) bound.
Jin, Lingfei, Xing, Chaoping
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Atomic structures of TDP-43 LCD segments and insights into reversible or pathogenic aggregation. [PDF]
The normally soluble TAR DNA-binding protein 43 (TDP-43) is found aggregated both in reversible stress granules and in irreversible pathogenic amyloid. In TDP-43, the low-complexity domain (LCD) is believed to be involved in both types of aggregation. To
A Jain +93 more
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On the minimum distances of binary optimal LCD codes with dimension 5
Let $ d_{a}(n, 5) $ and $ d_{l}(n, 5) $ be the minimum weights of optimal binary $ [n, 5] $ linear codes and linear complementary dual (LCD) codes, respectively.
Yang Liu , Ruihu Li , Qiang Fu, Hao Song
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New constructions of MDS codes with complementary duals
Linear complementary-dual (LCD for short) codes are linear codes that intersect with their duals trivially. LCD codes have been used in certain communication systems. It is recently found that LCD codes can be applied in cryptography. This application of
Chen, Bocong, Liu, Hongwei
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