Nonexistence of two circulant weighing matrices of weight 81$^{1}$

نویسندگان
Bayes, Kyle ID 1
Nabavi, Ali ID 2
Arasu, K. T. ID 3

1 Wright State University

2 Institute for Research in Fundamental Sciences (IPM)

3 Wright State University

doi
10.22108/toc.2015.6225
چکیده

‎‎In this paper‎, ‎we prove the nonexistence of two weighing matrices of‎ ‎weight 81‎, ‎namely $CW(88,81)$ and $CW(99,81)$‎. ‎We will apply two‎ ‎very different methods to do so; for the case of $CW(88,81)$‎, ‎we‎ ‎will use almost purely counting methods‎, ‎while for $CW(99,81)$‎, ‎we‎ ‎will use algebraic methods‎.

کلیدواژه‌ها
weighing matrices, circulant, multipliers