A weighing matrix W = (wi,j) is a square of order n and entries wi,j in {0,± 1} such that WWT kIn. In his thesis, Strassler gave table existence results for circulant matrices with ≤ 200 k 100. the latest version Strassler’s given by Tan, there are 34 open cases remaining. this paper we give nonexistence proofs 12 these cases, report on preliminary searches outside table, characterize known pro...