File:Nimbers 0...15 multiplication.svg
Summary
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Multiplication table of Nimbers; compare The nonzero elements form the Cayley table of Z15, as shown below. Below the dual matrix, showing permuted binary Walsh matrices.
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Cyclic group
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1 4 6 14 5 2 8 11 7 10 3 12 13 9 15 4 6 14 5 2 8 11 7 10 3 12 13 9 15 1 6 14 5 2 8 11 7 10 3 12 13 9 15 1 4 14 5 2 8 11 7 10 3 12 13 9 15 1 4 6 5 2 8 11 7 10 3 12 13 9 15 1 4 6 14 2 8 11 7 10 3 12 13 9 15 1 4 6 14 5 8 11 7 10 3 12 13 9 15 1 4 6 14 5 2 11 7 10 3 12 13 9 15 1 4 6 14 5 2 8 7 10 3 12 13 9 15 1 4 6 14 5 2 8 11 10 3 12 13 9 15 1 4 6 14 5 2 8 11 7 3 12 13 9 15 1 4 6 14 5 2 8 11 7 10 12 13 9 15 1 4 6 14 5 2 8 11 7 10 3 13 9 15 1 4 6 14 5 2 8 11 7 10 3 12 9 15 1 4 6 14 5 2 8 11 7 10 3 12 13 15 1 4 6 14 5 2 8 11 7 10 3 12 13 9 Table of the same operation, showing the characteristic diagonals of a cyclic group's Cayley table |
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