Mathematics – Combinatorics
Scientific paper
1999-10-29
Mathematics
Combinatorics
38 pages
Scientific paper
In this paper we completely classify the circulant weighing matrices of weight 16 and odd order. It turns out that the order must be an odd multiple of either 21 or 31. Up to equivalence, there are two distinct matrices in CW(31,16), one matrix in CW(21,16) and another one in CW(63,16) (not obtainable by Kronecker product from CW(21,16)). The classification uses a multiplier existence theorem.
Adin Ron M.
Epstein Leah
Strassler Y.
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