Schematic Orthogonal Arrays of Strength Two

Shanqi PANG  Yongmei LI  Rong YAN  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E103-A   No.2   pp.556-562
Publication Date: 2020/02/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2019EAL2088
Type of Manuscript: LETTER
Category: Coding Theory
Keyword: 
Hamming distance,  association scheme,  schematic orthogonal array,  

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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.