On the Least Number of Cell Orbits of a Hadamard Matrix of Order n
نویسندگان
چکیده
The automorphism group of any Hadamard matrix of order n acts on the set of cell co-ordinates {(i, j) | i, j = 1, 2, . . . , n}. Let f(n) denote the least number of cell orbits amongst all the Hadamard matrices of order n. This paper describes Hadamard matrices with a small number of cellwise orbits, and in particular proves some results about the function f . We show that, except possibly for t = 23, f(4t) ≤ 2 for t = 1, 2, . . . , 25.
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تاریخ انتشار 2006