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DCC
2011
IEEE
13 years 6 months ago
The cocyclic Hadamard matrices of order less than 40
In this paper all cocyclic Hadamard matrices of order less than 40 are classified. That is, all such Hadamard matrices are explicitly constructed, up to Hadamard equivalence. Thi...
Padraig Ó Catháin, Marc Röder
SETA
2010
Springer
175views Mathematics» more  SETA 2010»
13 years 9 months ago
New Constructions of Complete Non-cyclic Hadamard Matrices, Related Function Families and LCZ Sequences
A Hadamard matrix is said to be completely non-cyclic (CNC) if there are no two rows (or two columns) that are shift equivalent in its reduced form. In this paper, we present three...
Krystal Guo, Guang Gong
EJC
2006
13 years 11 months ago
Hadamard ideals and Hadamard matrices with two circulant cores
We apply Computational Algebra methods to the construction of Hadamard matrices with two circulant cores, given by Fletcher, Gysin and Seberry. We introduce the concept of Hadamar...
Ilias S. Kotsireas, Christos Koukouvinos, Jennifer...
DCC
2006
IEEE
14 years 11 months ago
New quasi-symmetric designs constructed using mutually orthogonal Latin squares and Hadamard matrices
Using Hadamard matrices and mutually orthogonal Latin squares, we construct two new quasi-symmetric designs, with parameters 2 (66, 30, 29) and 2 - (78, 36, 30). These are the fir...
Carl Bracken, Gary McGuire, Harold N. Ward