Uniform Designs Through Modified Gray Maps And Quaternary To Three Binary Columns Replacement Rules

2017 ◽  
Author(s):  
Kashinath Chatterjee ◽  
Zujun Ou ◽  
Frederick Kin Hing Phoa ◽  
Hong Qin
Keyword(s):  
Gray Maps ◽  
Uniform Designs

A class of constacyclic codes over the ring Z4[u,v]/ and their Gray images

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2237-2248 ◽  
Author(s):  
Habibul Islam ◽  
Om Prakash
Keyword(s):  
Cyclic Codes ◽  
Constacyclic Codes ◽  
Gray Maps ◽  
Permutation Equivalent ◽  
Quasi Cyclic Codes

In this paper, we study (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes over the ring Z4 + uZ4 + vZ4 + uvZ4 where u2 = v2 = 0,uv = vu. We define some new Gray maps and show that the Gray images of (1 + 2u + 2v)-constacyclic and skew (1 + 2u + 2v)-constacyclic codes are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. Further, we determine the structure of (1 + 2u + 2v)-constacyclic codes of odd length n.

An efficient method for constructing uniform designs with large size

2012 ◽  
Vol 28 (3) ◽  
pp. 1319-1331 ◽  
Author(s):  
Yong-Dao Zhou ◽  
Kai-Tai Fang
Keyword(s):  
Efficient Method ◽  
Large Size ◽  
Uniform Designs

Generation of space-filling uniform designs in unit hypercubes

2012 ◽  
Vol 142 (12) ◽  
pp. 3189-3200 ◽  
Author(s):  
Ismael S. Talke ◽  
John J. Borkowski
Keyword(s):  
Space Filling ◽  
Uniform Designs

Asymmetric uniform designs based on mixture discrepancy

2016 ◽  
Vol 43 (12) ◽  
pp. 2280-2294 ◽  
Author(s):  
A. M. Elsawah ◽  
Hong Qin
Keyword(s):  
Uniform Designs

scholarly journals Being Uncertain in Chromatographic Calibration—Some Unobvious Details in Experimental Design

Molecules ◽  
2021 ◽  
Vol 26 (22) ◽  
pp. 7035
Author(s):  
Łukasz Komsta ◽  
Katarzyna Wicha-Komsta ◽  
Tomasz Kocki
Keyword(s):  
Experimental Design ◽  
Calibration Curve ◽  
Optimality Criteria ◽  
Optimal Designs ◽  
Curve Estimation ◽  
Estimation Uncertainty ◽  
Uncertainty Measurement ◽  
Calibration Samples ◽  
Uniform Designs

This is an introductory tutorial and review about the uncertainty problem in chromatographic calibration. It emphasizes some unobvious, but important details influencing errors in the calibration curve estimation, uncertainty in prediction, as well as the connections and dependences between them, all from various perspectives of uncertainty measurement. Nonuniform D-optimal designs coming from Fedorov theorem are computed and presented. As an example, all possible designs of 24 calibration samples (3–8, 4–6, 6–4, 8–3 and 12–2, both uniform and D-optimal) are compared in context of many optimality criteria. It can be concluded that there are only two independent (orthogonal, but slightly complex) trends in optimality of these designs. The conclusions are important, as the uniform designs with many concentrations are not the best choices, contrary to some intuitive perception. Nonuniform designs are visibly better alternative in most calibration cases.

New results on quaternary codes and their Gray map images for constructing uniform designs

Metrika ◽  
2018 ◽  
Vol 81 (3) ◽  
pp. 307-336 ◽  
Author(s):  
A. M. Elsawah ◽  
Kai-Tai Fang
Keyword(s):  
Gray Map ◽  
Quaternary Codes ◽  
Uniform Designs

Double Circulant Self-Dual and LCD Codes Over ℤp2

2019 ◽  
Vol 30 (03) ◽  
pp. 407-416
Author(s):  
Daitao Huang ◽  
Minjia Shi ◽  
Patrick Solé
Keyword(s):  
Lower Bounds ◽  
Minimum Distance ◽  
Exact Enumeration ◽  
Lcd Codes ◽  
Gray Maps ◽  
Double Circulant Codes ◽  
Circulant Codes

We study double circulant LCD codes over [Formula: see text] for all odd primes [Formula: see text] and self-dual double circulant codes over [Formula: see text] for primes [Formula: see text]. We derive exact enumeration formulae, and asymptotic lower bounds on the minimum distance of the [Formula: see text]-ary images of these codes by the classical Gray maps.

CONSTRUCTING UNIFORM DESIGNS WITH TWO- OR THREE-LEVEL

2006 ◽  
Vol 26 (3) ◽  
pp. 451-459 ◽  
Author(s):  
Hong Qin ◽  
Shangli Zhang ◽  
Kaitai Fang
Keyword(s):  
Uniform Designs
Sign in / Sign up

Export Citation Format

Share Document