scholarly journals Linear and nonlinear constructions of DNA codes with Hamming distance d and constant GC-content

2011 ◽  
Vol 311 (13) ◽  
pp. 1207-1219 ◽  
Author(s):  
Derek H. Smith ◽  
Niema Aboluion ◽  
Roberto Montemanni ◽  
Stephanie Perkins
Keyword(s):  
Hamming Distance ◽  
Dna Codes ◽  
Linear And Nonlinear

Linear Constructions for Hamming Distance of DNA Codes

2007 ◽  
Vol 4 (7) ◽  
pp. 1231-1236
Author(s):  
Xiangou Zhu ◽  
Wenbing Liu ◽  
Chuan Sun ◽  
Wenguo Wu
Keyword(s):  
Hamming Distance ◽  
Dna Codes

scholarly journals Bounds for DNA Codes with Constant GC-Content

10.37236/1726 ◽  
2003 ◽  
Vol 10 (1) ◽  
Author(s):  
Oliver D. King
Keyword(s):  
Lower Bounds ◽  
Hamming Distance ◽  
Gc Content ◽  
Maximum Size ◽  
Additional Constraint ◽  
Upper And Lower Bounds ◽  
Dna Codes ◽  
Minimum Hamming Distance ◽  
Reverse Complement

We derive theoretical upper and lower bounds on the maximum size of DNA codes of length $n$ with constant GC-content $w$ and minimum Hamming distance $d$, both with and without the additional constraint that the minimum Hamming distance between any codeword and the reverse-complement of any codeword be at least $d$. We also explicitly construct codes that are larger than the best previously-published codes for many choices of the parameters $n$, $d$ and $w$.

scholarly journals The DNA Word Design Problem: A New Constraint Model and New Results

2017 ◽  
Author(s):  
Michael Codish ◽  
Michael Frank ◽  
Vitaly Lagoon
Keyword(s):  
Lower Bounds ◽  
Design Problem ◽  
Coding Theory ◽  
Hamming Distance ◽  
Fundamental Problem ◽  
Boolean Satisfiability ◽  
Maximum Cardinality ◽  
Dna Codes ◽  
Constraint Model ◽  
Additional Constraints

A fundamental problem in coding theory concerns the computation of the maximum cardinality of a set S of length n code words over an alphabet of size q, such that every pair of code words has Hamming distance at least d, and the set of additional constraints U on S is satisfied. This problem has application in several areas, one of which is the design of DNA codes where q=4 and the alphabet is {A,C,G,T}. We describe a new constraint model for this problem and demonstrate that it improves on previous solutions (computes better lower bounds) for various instances of the problem. Our approach is based on a clustering of DNA words into small sets of words. Solutions are then obtained as the union of such clusters. Our approach is SAT based: we specify constraints on clusters of DNA words and solve these using a Boolean satisfiability solver.

Linear and Nonlinear Optical Properties of Natural Dyes Freestanding Films and Application in Optical Limiting

2020 ◽  
pp. 139-143
Keyword(s):  
Absorption Coefficient ◽  
Water Solution ◽  
Optical Limiting ◽  
Refraction Index ◽  
Laser Wavelength ◽  
Solid State Laser ◽  
Natural Dyes ◽  
Linear And Nonlinear ◽  
532 Nm ◽  
Absorbance Spectra

Natural dyes were followed and prepared from a pomegranate, purple carrot, and eggplant peel. The absorbance spectra was measured in the wavelength range 300-800 nm. The linear properties measurements of the prepared natural dye freestanding films were determined include absorption coefficient (α0), extinction coefficient (κ), and linear refraction index (n). The nonlinear refractive index n2 and nonlinear absorption coefficient β2 of the natural dyes in the water solution were measured by the optical z-scan technique under a pumped solid state laser at a laser wavelength of 532 nm. The results indicated that the pomegranate dye can be promising candidates for optical limiting applications with significantly low optical limiting of 3.5 mW.

Rheological characterization of tack and viscoelasticity of compositions of crepe coating used in the Yankee dryer

TAPPI Journal ◽  
2019 ◽  
Vol 18 (11) ◽  
pp. 641-649
Author(s):  
JOSHUA OMAMBALA ◽  
CARL MCINTYRE
Keyword(s):  
Normal Force ◽  
Weight Ratio ◽  
Good Combination ◽  
Rheological Characterization ◽  
Nonlinear Viscoelastic ◽  
Coating Composition ◽  
Linear And Nonlinear ◽  
Work Done ◽  
Tissue Production

The vast majority of tissue production uses creping to achieve the required set of properties on the base sheet. The Yankee coating helps to develop the desired crepe that in turn determines properties such as bulk and softness. The adhesion of the sheet to the Yankee surface is a very important characteristic to consider in achieving the desired crepe. The coating mix usually consists of the adhesive, modifier, and release. A good combination of these components is essential to achieving the desired properties of the tissue or towel, which often are determined by trials on the machine that can be time consuming and lead to costly rejects. In this paper, five compositions of an industrial Yankee coating adhesive, modifier, and release were examined rheologically. The weight ratio of the adhesive was kept constant at 30% in all five compositions and the modifier and release ratios were varied. The normal force and work done by the different compositions have been shown at various temperatures simulating that of the Yankee surface, and the oscillatory test was carried out to explain the linear and nonlinear viscoelastic characteristic of the optimal coating composition.

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