<s>
Fugue	B-Algorithm
is	O
a	O
cryptographic	B-Algorithm
hash	I-Algorithm
function	I-Algorithm
submitted	O
by	O
IBM	O
to	O
the	O
NIST	B-Algorithm
hash	I-Algorithm
function	I-Algorithm
competition	I-Algorithm
.	O
</s>
<s>
Fugue	B-Algorithm
takes	O
an	O
arbitrary-length	O
message	O
and	O
compresses	O
it	O
down	O
to	O
a	O
fixed	O
bit-length	O
(	O
either	O
224	O
,	O
256	O
,	O
384	O
or	O
512	O
bits	O
)	O
.	O
</s>
<s>
The	O
hash	B-Algorithm
functions	I-Algorithm
for	O
the	O
different	O
output	O
lengths	O
are	O
called	O
Fugue-224	O
,	O
Fugue-256	O
,	O
Fugue-384	O
and	O
Fugue-512	O
.	O
</s>
<s>
The	O
authors	O
also	O
describe	O
a	O
parametrized	O
version	O
of	O
Fugue	B-Algorithm
.	O
</s>
<s>
A	O
weak	O
version	O
of	O
Fugue-256	O
is	O
also	O
described	O
using	O
this	O
parameterized	O
version	O
.	O
</s>
<s>
The	O
selling	O
point	O
of	O
Fugue	B-Algorithm
is	O
the	O
authors	O
 '	O
claimed	O
proof	O
that	O
a	O
wide	O
range	O
of	O
current	O
attack	O
strategies	O
based	O
on	O
differential	O
cryptanalysis	O
cannot	O
be	O
efficient	O
against	O
Fugue	B-Algorithm
.	O
</s>
<s>
It	O
is	O
also	O
claimed	O
to	O
be	O
competitive	O
with	O
the	O
NIST	O
hash	B-Algorithm
function	I-Algorithm
SHA-256	O
in	O
both	O
software	O
and	O
hardware	O
efficiency	O
,	O
achieving	O
up	O
to	O
36.2	O
cycles	O
per	O
byte	O
on	O
an	O
Intel	O
Family	O
6	O
Model	O
15	O
Xeon	O
5150	O
,	O
and	O
up	O
to	O
25	O
cycles	O
per	O
byte	O
on	O
an	O
Intel	O
Core	O
2	O
processor	O
T7700	O
.	O
</s>
<s>
T9400	O
,	O
Fugue-256	O
runs	O
at	O
16	O
cycles	O
per	O
byte	O
using	O
SSE4.1	O
instructions	O
.	O
</s>
<s>
Core	O
i5	O
,	O
Fugue-256	O
runs	O
at	O
14	O
cycles/byte	O
.	O
</s>
<s>
Fugue	B-Algorithm
's	O
design	O
starts	O
from	O
the	O
hash	B-Algorithm
function	I-Algorithm
Grindahl	O
,	O
and	O
like	O
Grindahl	O
uses	O
the	O
S-box	B-Algorithm
from	O
AES	B-Algorithm
,	O
but	O
it	O
replaces	O
the	O
4×4	O
column	O
mixing	O
matrix	O
with	O
a	O
16×16	O
"	O
super-mix	O
"	O
operation	O
which	O
greatly	O
improves	O
diffusion	O
.	O
</s>
<s>
The	O
"	O
super-mix	O
"	O
operation	O
is	O
,	O
however	O
,	O
only	O
slightly	O
more	O
computationally	O
expensive	O
to	O
implement	O
than	O
the	O
AES	B-Algorithm
mixing	O
strategy	O
.	O
</s>
<s>
The	O
224	O
and	O
256	O
bit	O
variants	O
of	O
Fugue	B-Algorithm
work	O
with	O
a	O
state	O
which	O
can	O
be	O
represented	O
in	O
4	O
by	O
30	O
matrix	O
of	O
unsigned	O
bytes	O
,	O
whereas	O
the	O
384	O
and	O
512	O
bit	O
variants	O
work	O
with	O
a	O
4	O
by	O
36	O
byte	O
matrix	O
.	O
</s>
<s>
Fugue	B-Algorithm
2.0	O
is	O
a	O
tweak	O
of	O
original	O
Fugue	B-Algorithm
,	O
which	O
runs	O
at	O
about	O
twice	O
the	O
speed	O
of	O
Fugue	B-Algorithm
for	O
256-bit	O
output	O
.	O
</s>
