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A second-order Hadamard matrix:
Higher order Hadamard matrices defined by recursive embedding:
- Since
does not exist, the FDN example figure above can be
redrawn for
, say, (instead of
), so that we can set
- The Hadamard conjecture posits the existence of Hadamard
matrices
of order
for all positive integers
.
- ``As of 2008, there are 13 multiples of 4 less than or equal to 2000
for which no Hadamard matrix of that order is known. They are: 668,
716, 892, 1004, 1132, 1244, 1388, 1436, 1676, 1772, 1916, 1948,
1964.''
[http://en.wikipedia.org/wiki/Hadamard_matrix]
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Download Reverb.pdf
Download Reverb_2up.pdf
Download Reverb_4up.pdf