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A construction for generalized hadamard matrices GH(4q, EA(q))
Authors:Jeremy E Dawson
Institution:Australian National University, Canberra, Australia
Abstract:We give a construction for a generalized Hadamard matrix GH(4q, EA(q)) as a 4 × 4 matrix of q × q blocks, for q an odd prime power other than 3 or 5. Each block is a GH(q, EA(q)) and certain combinations of 4 blocks form GH(2q, EA(q)) matrices. Hence a GH(4q, EA(q)) matrix exists for every prime power q.
Keywords:Primary 62K10  62K15  Secondary 05B15  Orthogonal arrays
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