<s>
In	O
mathematics	O
,	O
a	O
complex	B-Algorithm
Hadamard	I-Algorithm
matrix	I-Algorithm
H	O
of	O
size	O
N	O
with	O
all	O
its	O
columns	O
(	O
rows	O
)	O
mutually	O
orthogonal	O
,	O
belongs	O
to	O
the	O
Butson-type	O
H(q,N )	O
if	O
all	O
its	O
elements	O
are	O
powers	O
of	O
q-th	O
root	O
of	O
unity	O
,	O
</s>
<s>
contains	O
Hadamard	O
matrices	O
composed	O
of	O
-	O
such	O
matrices	O
were	O
called	O
by	O
Turyn	O
,	O
complex	B-Algorithm
Hadamard	I-Algorithm
matrices	I-Algorithm
.	O
</s>
<s>
in	O
the	O
limit	O
one	O
can	O
approximate	O
all	O
complex	B-Algorithm
Hadamard	I-Algorithm
matrices	I-Algorithm
.	O
</s>
