On the Construction of Weighing Matrices from Coherent Configuration

2017 ◽  
Vol 48 (5) ◽  
pp. 281-287
Author(s):  
P.K. Man jhi ◽  
◽  
Arjun Kumar
Keyword(s):  
Weighing Matrices ◽  
Coherent Configuration

scholarly journals Determination of all possible orders of weight 16 circulant weighing matrices

2006 ◽  
Vol 12 (4) ◽  
pp. 498-538 ◽  
Author(s):  
K.T. Arasu ◽  
Ka Hin Leung ◽  
Siu Lun Ma ◽  
Ali Nabavi ◽  
D.K. Ray-Chaudhuri
Keyword(s):  
Weighing Matrices

Constructions for Circulant and Group-Developed Generalized Weighing Matrices

2016 ◽  
Vol 24 (9) ◽  
pp. 406-420
Author(s):  
Robert Craigen ◽  
Warwick de Launey
Keyword(s):  
Weighing Matrices

scholarly journals On circulant codes with prescribed distances

1977 ◽  
Vol 16 (3) ◽  
pp. 361-369
Author(s):  
M. Deza ◽  
Peter Eades
Keyword(s):  
Sufficient Conditions ◽  
Difference Sets ◽  
Necessary And Sufficient Conditions ◽  
Necessary Condition ◽  
Weighing Matrices ◽  
Cyclic Difference Sets ◽  
The Matrix ◽  
Circulant Codes ◽  
Necessary And Sufficient ◽  
Square Matrix

Necessary and sufficient conditions are given for a square matrix to te the matrix of distances of a circulant code. These conditions are used to obtain some inequalities for cyclic difference sets, and a necessary condition for the existence of circulant weighing matrices.

scholarly journals A new class of symmetric weighing matrices

1986 ◽  
Vol 41 (1) ◽  
pp. 44-46 ◽  
Author(s):  
H. Kharaghani
Keyword(s):  
Weighing Matrices ◽  
New Class

AbstractIf there is a W (n, p), then there is a symmetric W (n2, p2).

scholarly journals Short Amicable sets and Kharaghani type orthogonal designs

2001 ◽  
Vol 64 (3) ◽  
pp. 495-504 ◽  
Author(s):  
Christos Koukouvinos ◽  
Jennifer Seberry
Keyword(s):  
Hadamard Matrices ◽  
Weighing Matrices ◽  
Orthogonal Designs

Dedicated to Professor George SzekeresShort amicable sets were introduced recently and have many applications. The construction of short amicable sets has lead to the construction of many orthogonal designs, weighing matrices and Hadamard matrices. In this paper we give some constructions for short amicable sets as well as some multiplication theorems. We also present a table of the short amicable sets known to exist and we construct some infinite families of short amicable sets and orthogonal designs.

A non-Schurian coherent configuration on 14 points exists

2016 ◽  
Vol 84 (1-2) ◽  
pp. 203-221
Author(s):  
Mikhail Klin ◽  
Matan Ziv-Av
Keyword(s):  
Coherent Configuration
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