On the existence of complex Hadamard submatrices of the Fourier matrices
AbstractWe use a theorem of Lam and Leung to prove that a submatrix of a Fourier matrix cannot be Hadamard for particular cases when the dimension of the submatrix does not divide the dimension of the Fourier matrix. We also make some observations on the trace-spectrum relationship of dephased Hadamard matrices of low dimension.
2008 ◽
Vol 15
(02)
◽
pp. 93-108
◽
Keyword(s):
1983 ◽
Vol 41
◽
pp. 194-195
Keyword(s):
1970 ◽
Vol 28
◽
pp. 156-157
1991 ◽
Vol 49
◽
pp. 236-237
Keyword(s):
1995 ◽
Vol 53
◽
pp. 768-769
1990 ◽
Vol 48
(4)
◽
pp. 265-267
Keyword(s):
1990 ◽
Vol 48
(3)
◽
pp. 352-353
1990 ◽
Vol 48
(4)
◽
pp. 898-899
Keyword(s):
1980 ◽
Vol 38
◽
pp. 412-413