Schematic Orthogonal Arrays of Strength Two

Shanqi PANG; Yongmei LI; Rong YAN

doi:10.1587/transfun.2019EAL2088

Schematic Orthogonal Arrays of Strength Two

Shanqi PANG, Yongmei LI, Rong YAN

Full Text Views

0

Cite this

Summary :

In the theory of orthogonal arrays, an orthogonal array (OA) is called schematic if its rows form an association scheme with respect to Hamming distances. In this paper, we study the Hamming distances of any two rows in an OA, construct some schematic OAs of strength two and give the positive solution to the open problem for classifying all schematic OAs. Some examples are given to illustrate our methods.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.2 pp.556-562

Publication Date: 2020/02/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.2019EAL2088

Type of Manuscript: LETTER

Category: Coding Theory

Authors

Shanqi PANG
  Henan Normal University
Yongmei LI
  Henan Normal University
Rong YAN
  Henan Normal University

Keyword

Hamming distance, association scheme, schematic orthogonal array

Cite this

Copy

Shanqi PANG, Yongmei LI, Rong YAN, "Schematic Orthogonal Arrays of Strength Two" in IEICE TRANSACTIONS on Fundamentals, vol. E103-A, no. 2, pp. 556-562, February 2020, doi: 10.1587/transfun.2019EAL2088.
Abstract: In the theory of orthogonal arrays, an orthogonal array (OA) is called schematic if its rows form an association scheme with respect to Hamming distances. In this paper, we study the Hamming distances of any two rows in an OA, construct some schematic OAs of strength two and give the positive solution to the open problem for classifying all schematic OAs. Some examples are given to illustrate our methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2019EAL2088/_p

Copy

@ARTICLE{e103-a_2_556,
author={Shanqi PANG, Yongmei LI, Rong YAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Schematic Orthogonal Arrays of Strength Two},
year={2020},
volume={E103-A},
number={2},
pages={556-562},
abstract={In the theory of orthogonal arrays, an orthogonal array (OA) is called schematic if its rows form an association scheme with respect to Hamming distances. In this paper, we study the Hamming distances of any two rows in an OA, construct some schematic OAs of strength two and give the positive solution to the open problem for classifying all schematic OAs. Some examples are given to illustrate our methods.},
keywords={},
doi={10.1587/transfun.2019EAL2088},
ISSN={1745-1337},
month={February},}

Copy

TY - JOUR
TI - Schematic Orthogonal Arrays of Strength Two
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 556
EP - 562
AU - Shanqi PANG
AU - Yongmei LI
AU - Rong YAN
PY - 2020
DO - 10.1587/transfun.2019EAL2088
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2020
AB - In the theory of orthogonal arrays, an orthogonal array (OA) is called schematic if its rows form an association scheme with respect to Hamming distances. In this paper, we study the Hamming distances of any two rows in an OA, construct some schematic OAs of strength two and give the positive solution to the open problem for classifying all schematic OAs. Some examples are given to illustrate our methods.
ER -