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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

New weighing matrices of order \(2n\) and weight \(2n -9\)

Tlias S. Kotsireas1, Christos Koukouvinos2, Jennifer Seberry3
1Department of Phys. and Comp. Sci. Wilfrid Laurier University Waterloo ON, N2L 3C5, Canada
2Department of Mathematics National Technical University of Athens Zografou 15773, Athens, Greece
3Centre for Computer Security Research School of Information Technology and Computer Science University of Wollongong Wollongong, NSW 2522, Australia
  • Published: 28/02/2010

Abstract

In this paper, we find six new weighing matrices of order \( 2n \) and weight \( 2n-9 \) constructed from two circulants, by establishing various patterns on the locations of the nine zeros in a potential solution.

Keywords: Weighing matrices, algorithm, patterns, locations of zeros. MSC classification: 05B20, 62K05.
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Citation
Tlias S. Kotsireas, Christos Koukouvinos, Jennifer Seberry. New weighing matrices of order \(2n\) and weight \(2n -9\)[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 072. 49-54. DOI: .