Quantum Error-Correcting Codes Based on Orthogonal Arrays [PDF]
In this paper, by using the Hamming distance, we establish a relation between quantum error-correcting codes ((N,K,d+1))s and orthogonal arrays with orthogonal partitions.
Rong Yan +3 more
doaj +2 more sources
Epitaxial growth of metal-organic framework nanosheets into single-crystalline orthogonal arrays [PDF]
Construction of two-dimensional nanosheets into three-dimensional regular structures facilitates the mass transfer and exploits the maximum potential of two-dimensional building blocks in applications such as catalysis.
Yingying Zou +8 more
doaj +2 more sources
Order-of-Addition Orthogonal Arrays with High Strength
In order-of-addition experiments, the full order-of-addition designs are often unaffordable due to their large run sizes. The problem of finding efficient fractional OofA designs arises.
Shengli Zhao, Zehui Dong, Yuna Zhao
doaj +1 more source
An integer programming model for obtaining cyclic quasi-difference matrices
Orthogonal arrays are of great importance in mathematical sciences. This paper analyses a certain practical advantage of quasi-difference matrices over difference matrices to obtain orthogonal arrays with given parameters.
Luis Martínez +2 more
doaj +1 more source
Prediction of the main cutting force in longitudinal turning of AISI D6 tool steel bars by applying full and fractional experimental design [PDF]
This investigation concerns the cutting force magnitude during turning of AISI D6 tool steel using both Taguchi Experimental Design (TED) and full factorial design (FFD). Three main cutting parameters namely spindle speed, feed rate and depth of cut were
Aslani Kyriaki-E. +6 more
doaj +1 more source
ORTHOGONAL ARRAYS OBTAINED BY ARRAY SUBTRACTION
Summary: In this paper, by using the orthogonal decompositions of projection matrices, a new general approach is proposed to construct asymmetrical OAs, namely array subtraction, the operation of which is not the usual subtraction but it is interesting since many so called atoms of asymmetrical OAs can be obtained by the array subtraction.
Luo, Chun +4 more
openaire +2 more sources
Design of Nonuniformly Spaced Antenna Arrays Using Orthogonal Coefficients Equating Method [PDF]
Orthogonal Coefficients Equating (OCE) method as an analytic method is proposed to synthesize nonuniformly spaced antenna arrays to have array factors nearly equal to that of a previously designed uniformly spaced antenna arrays.
M. Khalaj-Amirhosseini
doaj
Construction of quaternary quantum error-correcting codes via orthogonal arrays
This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang +6 more
doaj +1 more source
Hilbert Bases for Orthogonal Arrays [PDF]
In this paper, we relate the problem of generating all 2-level orthogonal arrays of given dimension and force, i.e. elements in OA$(n,m)$, where $n$ is the number of factors and $m$ the force, to the solution of an Integer Programming problem involving rational convex cones. We do not restrict the number of points in the array, i.e. we admit any number
CARLINI, ENRICO, PISTONE, Giovanni
openaire +3 more sources
Generalized binary arrays from quasi-orthogonal cocycles [PDF]
Generalized perfect binary arrays (GPBAs) were used by Jedwab to construct perfect binary arrays. A non-trivial GPBA can exist only if its energy is 2 or a multiple of 4. This paper introduces generalized optimal binary arrays (GOBAs) with even energy
Armario Sampalo, José Andrés +1 more
core +2 more sources

