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.
T
he
r
e
for
e
,
i
n
t
hi
s
s
t
udy
,
w
e
fo
c
us
o
n
t
he
w
e
a
k
po
i
n
t
s
of
X
O
R
by
r
e
p
l
a
c
i
ng
i
t
w
i
t
h
a
ne
w
#
o
pe
r
a
t
i
on
w
i
t
h
va
r
i
a
b
l
e
bl
oc
k
bi
t
s
i
z
e
s
(n)
:
(1
or
2
or
4
or
8)
i
ns
t
e
a
d
of
on
e
bl
o
c
k
s
i
z
e
.
E
a
c
h
b
l
oc
k
w
i
l
l
ge
n
e
r
a
t
e
di
ffe
r
e
n
t
s
t
a
t
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t
a
bl
e
s
b
a
s
e
d
on
a
ddi
t
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on
i
n
G
F
(2
n
).
T
he
ove
ra
l
l
n
e
w
#
o
pe
r
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t
i
on
i
s
m
a
na
g
e
d
by
us
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n
g
a
ddi
t
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on
a
l
t
w
o
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ys
.
T
h
i
s
w
ork
i
s
re
pe
a
t
e
d
i
n
e
a
c
h
round
of
B
l
ow
fi
s
h
t
o
i
n
c
re
a
s
e
t
he
s
e
c
uri
t
y
l
e
ve
l
of
t
he
a
l
gor
i
t
h
m
.
O
ur
re
s
u
l
t
s
s
how
t
h
a
t
t
h
i
s
n
e
w
m
od
i
fi
c
a
t
i
on
on
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l
ow
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s
h
a
l
gor
i
t
h
m
w
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nc
re
a
s
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t
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s
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t
y
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v
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l
of
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ry
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on
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y
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nc
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a
s
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he
c
om
p
l
e
x
i
t
y
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a
c
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h
us
t
h
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prot
e
c
t
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on
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n
c
ryp
t
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d
m
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s
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g
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i
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b
e
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ua
r
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nt
e
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d
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ga
i
ns
t
a
t
t
a
c
ks
.
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he
re
m
a
i
nd
e
r
o
f
t
hi
s
p
a
p
e
r
i
s
org
a
ni
s
e
d
a
s
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l
l
ow
s
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e
c
t
i
on
2
ove
r
vi
e
w
s
t
h
e
pr
i
n
c
i
p
l
e
w
ork
of
t
he
Bl
ow
fi
s
h
a
l
gor
i
t
h
m
.
S
e
c
t
i
on
3
re
v
i
e
w
s
t
h
e
re
l
e
v
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nt
l
i
t
e
r
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t
ur
e
a
bo
ut
m
o
di
f
i
c
a
t
i
ons
o
f
B
l
ow
fi
s
h
,
a
n
d
S
e
c
t
i
on
4
i
nt
r
oduc
e
s
our
propos
e
d
w
or
k
a
nd
e
v
a
l
u
a
t
i
on
o
f
t
h
e
Bl
ow
f
i
s
h
a
l
go
ri
t
hm
.
S
e
c
t
i
on
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e
v
a
l
u
a
t
e
s
t
he
c
o
m
p
l
e
x
i
t
y
of
our
prop
os
e
d
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l
gori
t
h
m
,
fo
l
l
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e
d
b
y
c
on
c
l
us
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i
n
S
e
c
t
i
on
6
.
2.
BLO
W
F
I
S
H
O
V
ER
V
I
E
W
Bl
ow
fi
s
h
i
s
a
s
ym
m
e
t
ri
c
b
l
o
c
k
c
yph
e
r
i
nve
n
t
e
d
i
n
1993
by
Bruc
e
S
c
hne
i
e
r
a
s
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g
e
ne
ra
l
purp
os
e
,
ra
pi
d
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a
nd
fr
e
e
a
l
t
e
rn
a
t
i
ve
t
o
t
he
D
E
S
(D
a
t
a
E
nc
r
ypt
i
on
S
ys
t
e
m
)
a
l
gor
i
t
h
m
.
B
l
ow
fi
s
h
i
nc
l
ude
s
m
a
ny
f
e
a
t
ure
s
,
s
uc
h
a
s
e
a
s
y,
ra
p
i
d,
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n
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o
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p
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us
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h
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c
ur
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o
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k
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t
L
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y
e
r
a
s
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l
l
a
s
o
t
he
r
a
ppl
i
c
a
t
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ons
,
a
nd
c
a
n
e
nc
ry
pt
m
ul
t
i
m
e
d
i
a
f
i
l
e
s
w
i
t
h
di
ffe
r
e
nt
s
p
e
e
ds
[
8
,
1
2
]
.
T
h
e
Bl
ow
fi
s
h
a
l
gor
i
t
h
m
i
s
b
a
s
e
d
on
a
F
e
i
s
t
e
l
n
e
t
w
o
rk
c
om
p
ri
s
e
d
of
a
16
-
r
ound
i
t
e
r
a
t
i
on
w
i
t
h
pl
a
i
n
t
e
x
t
re
pr
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s
e
n
t
e
d
i
n
a
64
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b
i
t
bl
oc
k
a
n
d
t
he
ke
y
l
e
ng
t
h
c
h
a
nge
s
from
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t
o
4
48
b
i
t
s
.
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ow
f
i
s
h
s
e
p
a
ra
t
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s
t
he
pl
a
i
n
t
e
x
t
i
n
t
o
l
e
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t
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nd
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ght
ha
l
ve
s
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or
a
p
pl
y
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ng
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n
X
O
R
op
e
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t
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on
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nd
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n
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-
fun
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t
i
on
.
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l
l
op
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ra
t
i
o
ns
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n
e
a
c
h
r
ound
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re
a
dd
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t
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ons
a
nd
X
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Rs
us
i
ng
3
2
-
bi
t
w
ords
pe
rfo
rm
e
d
w
i
t
hi
n
four
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ubs
t
i
t
ut
i
on
b
oxe
s
(S
-
box
e
s
)
[
1
3
,
1
4
]
.
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h
e
proc
e
s
s
of
B
l
ow
fi
s
h
e
nt
a
i
l
s
t
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l
ow
i
ng
t
w
o
pha
s
e
s
[1
5
,
16
].
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K
e
y
ge
n
e
r
a
t
i
on
ph
a
s
e
:
B
l
ow
fi
s
h
us
e
s
m
a
ny
s
ubke
ys
for
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n
e
ra
t
i
ng
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ni
t
i
a
l
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ont
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o
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y
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l
l
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d
t
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P
-
a
rr
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y.
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h
e
s
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us
t
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pre
-
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o
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pu
t
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re
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on
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h
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a
rr
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y
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om
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ri
s
e
s
18
32
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b
i
t
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1,
P
2
,
…
,
P
18)
s
uba
rr
a
ys
a
nd
four
32
-
bi
t
S
-
box
e
s
w
i
t
h
256
e
n
t
ri
e
s
a
s
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l
l
ow
s
:
S
1
,
0
, S
1,
1
,
.
.
.
,
S
1
,
2
5
5
;
S
2
,
0
,
S
2
,
1
,
…
,
S
2
,
2
5
5
;
S
3
,
0
, S
3
,
1
,
.
.
.
,
S
3
,
2
5
5
;
S
4
,
0
,
S
4
,
1
,
…
,
S
4
,
2
5
5
(1)
-
E
nc
r
ypt
i
on
pha
s
e
:
64
-
b
i
t
pl
a
i
n
t
e
xt
i
s
e
n
c
rypt
e
d
us
i
ng
t
he
ke
y
ge
n
e
r
a
t
e
d
i
n
t
h
e
pr
e
v
i
ous
p
ha
s
e
t
o
pr
oduc
e
a
64
-
bi
t
m
e
s
s
a
ge
.
F
i
gure
1
c
l
a
r
i
fi
e
s
how
t
he
F
-
f
unc
t
i
on
i
n
e
a
c
h
r
ound
of
t
he
Bl
ow
f
i
s
h
a
l
gor
i
t
h
m
d
e
pe
n
ds
on
t
he
s
ubs
t
i
t
ut
i
on
c
o
nc
e
pt
s
a
nd
c
o
ns
i
s
t
s
of
fo
ur
S
-
b
oxe
s
.
T
h
e
i
nput
of
t
h
e
3
2
-
bi
t
i
s
d
i
vi
d
e
d
i
n
t
o
f
our
8
-
bi
t
va
l
u
e
s
,
w
h
i
c
h
a
re
m
i
x
e
d
us
i
n
g
a
n
a
ddi
t
i
on
m
odu
l
o
a
nd
c
o
m
b
i
n
e
d
us
i
ng
X
O
R
[3
,
17
].
F
i
gur
e
1
s
h
ow
s
t
he
f
i
ve
ope
ra
t
i
ons
i
n
c
l
ud
e
d
i
n
a
s
i
ng
l
e
r
ound
of
t
w
o
X
O
R,
t
w
o
a
ddi
t
i
on
m
odul
o,
32
,
a
nd
a
d
di
t
i
on
.
A
c
c
ord
i
ngl
y,
t
he
e
v
a
l
ua
t
i
on
c
om
p
ut
a
t
i
ons
f
or
e
v
e
ry
round
a
l
s
o
i
n
c
l
u
de
s
onl
y
fi
v
e
ope
ra
t
i
ons
.
Th
e
w
or
k
of
Bl
ow
f
i
s
h
i
n
st
e
ps
i
s
c
i
t
e
d
w
i
t
h
d
e
t
a
i
l
s
i
n
[
18
].
F
i
gure
1
.
A
s
t
ru
c
t
ur
e
of
F
-
f
unc
t
i
on
i
n
o
ne
roun
d
of
b
l
ow
fi
s
h
a
l
gor
i
t
h
m
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T
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l
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al
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Suhad
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687
3.
R
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TED
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R
K
In
t
hi
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,
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t
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n
t
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t
h
e
t
a
bl
e
nu
m
b
e
r
t
o
b
e
us
e
d
for
c
om
p
ut
i
ng
t
h
e
r
e
s
ul
t
a
s
w
e
l
l
a
s
t
h
e
c
orr
e
s
pond
i
ng
row
a
nd
c
ol
u
m
ns
.
T
he
n
e
w
e
n
c
odi
ng
i
s
a
pp
l
i
e
d
us
i
ng
(#)
ope
ra
t
i
on
w
h
i
c
h
d
e
pe
nds
on
fou
r
s
t
a
t
e
t
a
bl
e
s
s
how
n
i
n
fo
l
l
o
w
i
ng
F
i
gure
2
.
F
i
gure
2
.
T
he
t
rut
h
t
a
bl
e
for
#
o
pe
r
a
t
i
on
In
201
1,
a
n
e
w
m
o
d
i
fi
c
a
t
i
on
w
a
s
i
n
t
rodu
c
e
d
i
n
[19
]
t
o
i
nc
re
a
s
e
t
h
e
s
e
c
u
ri
t
y
a
nd
ke
y
s
p
a
c
e
of
Bl
ow
fi
s
h
by
re
pl
a
c
i
ng
t
h
e
pr
e
d
e
fi
n
e
d
X
O
R
o
pe
r
a
t
i
on
a
ppl
i
e
d
i
n
e
a
c
h
roun
d
of
t
he
s
t
a
nd
a
rd
F
e
i
s
t
e
l
a
l
g
ori
t
hm
w
i
t
h
a
m
odi
f
i
e
d
bi
t
pr
oc
e
s
s
of
a
n
e
w
ha
s
h
op
e
r
a
t
i
on
ba
s
e
d
o
n
t
w
o
ke
ys
.
H
e
r
e
,
e
a
c
h
ke
y
c
ons
i
s
t
s
of
a
c
o
m
b
i
n
a
t
i
on
of
f
our
s
t
a
t
e
s
(0
,
1
,
2,
3)
i
ns
t
e
a
d
o
f
t
h
e
ori
gi
na
l
t
w
o
-
s
t
a
t
e
ke
y
(0,
1)
us
i
ng
t
he
t
rut
h
t
a
b
l
e
s
propos
e
d
i
n
[11
]
.
T
he
fi
rs
t
ke
y
i
s
us
e
d
t
o
d
e
t
e
r
m
i
n
e
t
he
t
a
b
l
e
nu
m
be
r
a
m
ong
t
h
e
fo
ur
a
va
i
l
a
bl
e
w
hi
l
e
t
he
s
e
c
ond
k
e
y
i
s
us
e
d
i
n
t
he
e
n
c
ryp
t
i
o
n
a
l
g
ori
t
hm
.
T
h
i
s
r
e
pl
a
c
e
m
e
nt
pr
ovi
d
e
s
a
ne
w
l
e
ve
l
of
s
e
c
uri
t
y
t
o
t
he
a
l
g
ori
t
hm
a
g
a
i
ns
t
a
t
t
a
c
k
e
rs
by
i
n
c
re
a
s
i
ng
i
t
s
c
o
m
pl
e
x
i
t
y
.
In
our
pr
opos
e
d
,
w
e
e
x
t
e
nd
b
l
oc
k
s
i
z
e
of
Bl
ow
fi
s
h
a
l
go
i
rt
hm
fro
m
s
t
a
t
i
c
b
l
oc
k
(
2
bl
o
c
k
s
a
nd
four
t
a
b
l
e
s
)
i
nt
o
dy
na
m
i
c
bl
o
c
ks
(4
bl
oc
ks
a
n
d
16
t
a
b
l
e
s
)
a
nd
(8
b
l
oc
ks
a
n
d
2
56
t
a
b
l
e
s
)
.
4.
P
R
O
P
O
S
ED
M
U
LTI
-
S
TA
TE
BL
O
W
F
I
S
H
T
oda
y,
t
h
e
Bl
ow
f
i
s
h
a
l
gor
i
t
hm
i
s
c
ons
i
de
r
e
d
i
ns
e
c
ur
e
fo
r
m
a
ny
a
pp
l
i
c
a
t
i
ons
.
F
or
i
ns
t
a
n
c
e
,
onl
y
a
s
i
ng
l
e
bi
t
i
s
us
e
d
for
m
a
ni
p
ul
a
t
i
o
n
(0
or
1),
w
hi
c
h
d
oe
s
no
t
c
ont
a
i
n
s
uffi
c
i
e
nt
ra
ndom
ne
s
s
m
a
k
i
ng
t
he
a
l
gor
i
t
h
m
vu
l
ne
ra
b
l
e
t
o
bru
t
e
fo
rc
e
a
t
t
a
c
ks
.
T
o
ov
e
r
c
om
e
t
hi
s
i
s
s
ue
,
w
e
i
n
t
rodu
c
e
a
n
e
w
m
od
i
fi
c
a
t
i
o
n
t
o
Bl
ow
fi
s
h
t
o
e
nha
nc
e
i
t
s
e
n
c
rypt
i
on
pe
rfor
m
a
n
c
e
a
nd
i
nc
re
a
s
e
i
t
s
c
o
m
p
l
e
x
i
t
y
a
ga
i
ns
t
a
t
t
a
c
ks
.
A
s
de
s
c
ri
be
d
a
bo
ve
,
t
h
e
X
O
R
ope
r
a
t
i
on
us
e
d
i
n
t
he
F
e
i
s
t
e
l
n
e
t
w
ork
de
p
e
nds
o
n
t
w
o
s
t
a
t
e
s
(
0
or
1
)
i
n
t
he
b
i
t
m
a
ni
pul
a
t
i
on
for
m
i
x
i
ng
t
h
e
i
np
ut
ke
y
a
nd
p
l
a
i
nt
e
xt
.
T
hi
s
pa
pe
r
pr
e
s
e
n
t
s
a
m
o
di
f
i
c
a
t
i
on
t
o
t
he
F
e
i
s
t
e
l
a
l
gor
i
t
h
m
b
y
r
e
pl
a
c
i
ng
t
he
X
O
R
w
i
t
h
a
ne
w
l
og
i
c
a
l
ope
r
a
t
i
on
c
a
l
l
e
d
#.
T
h
i
s
ope
ra
t
i
on
i
s
b
a
s
e
d
on
a
ne
w
bi
t
m
a
n
i
pul
a
t
i
on
for
m
i
xi
ng
t
h
e
i
nput
ke
y
a
nd
t
he
pl
a
i
n
t
e
xt
i
n
v
a
ri
a
bl
e
b
i
t
s
s
i
z
e
s
of
1
,
2,
4,
a
nd
8
-
b
i
t
s
w
i
t
h
bl
o
c
k
one
’s
b
i
t
s
i
z
e
s
ope
r
a
t
i
ng
o
n
a
t
w
o
-
s
t
a
t
e
t
a
b
l
e
(
0
or
1
),
bl
o
c
k
t
w
o
’s
bi
t
s
i
z
e
s
op
e
ra
t
e
s
on
a
four
-
s
t
a
t
e
t
a
b
l
e
(0
or
1
a
nd
2
or
3),
b
l
oc
k
fo
ur’s
bi
t
s
i
z
e
s
op
e
ra
t
e
s
on
a
16
-
s
t
a
t
e
t
a
b
l
e
(0
or
1
,
or
…
or
15)
,
a
nd
bl
oc
k
e
i
gh
t
’s
bi
t
s
i
z
e
s
o
pe
r
a
t
i
ng
on
a
256
-
s
t
a
t
e
t
a
b
l
e
(0
or
1
or
…
2
55).
T
h
e
s
e
t
a
bl
e
s
a
re
c
o
ns
t
ru
c
t
e
d
f
rom
t
he
a
dd
i
t
i
on
ope
ra
t
i
on
i
n
t
he
G
a
l
oi
s
f
i
e
l
d
G
F
(2
n
)
,
w
he
r
e
n
i
s
t
h
e
va
l
u
e
t
h
a
t
d
e
p
e
nds
on
t
h
e
bl
oc
k
b
i
t
s
i
z
e
s
p
e
c
i
fi
e
d
by
t
he
k
e
y
n
u
mb
er
o
f
b
i
t
s
.
In
t
hi
s
w
ork
,
four
v
a
ri
a
bl
e
bl
oc
k
b
i
t
s
i
z
e
s
of
1,
2
,
4,
a
nd
8
a
re
us
e
d
w
i
t
h
a
2
-
s
t
a
t
e
t
a
bl
e
(#0
a
n
d
#1)
f
or
G
F
(2
1
),
4
-
s
t
a
t
e
t
a
bl
e
(#0
,
#1
,
#
2,
a
nd
#3)
fo
r
G
F
(2
2
)
,
16
-
s
t
a
t
e
t
a
b
l
e
(#0,
#1
,
…
,
#15
)
for
G
F
(2
4
),
a
nd
256
–
s
t
a
t
e
t
a
bl
e
(
#0,
#1
,
…
,
#
255)
for
G
F
(2
8
)
.
S
a
m
p
l
e
s
of
t
h
e
s
e
t
a
bl
e
s
a
re
pr
e
s
e
n
t
e
d
i
n
t
he
n
e
xt
s
e
c
t
i
on
a
s
T
a
bl
e
s
1
t
hr
ough
6.
T
o
c
o
nt
ro
l
t
h
e
nu
m
b
e
r
of
b
i
t
s
a
nd
s
t
a
t
e
s
,
t
h
e
n
e
w
#
op
e
ra
t
i
on
re
qui
r
e
s
t
w
o
a
dd
i
t
i
ona
l
ke
ys
,
e
a
c
h
ge
ne
r
a
t
e
d
i
n
de
p
e
nd
e
nt
l
y
.
T
he
f
i
rs
t
ke
y,
k
e
y
n
u
m
b
e
r
o
f
b
i
t
s
,
i
s
ge
n
e
ra
t
e
d
r
a
ndo
m
l
y
i
n
bi
n
a
ry
for
m
f
or
de
t
e
r
m
i
n
i
ng
t
he
b
l
o
c
k
b
i
t
s
i
z
e
t
a
ke
n
fro
m
t
he
i
npu
t
k
e
y
a
nd
t
he
p
l
a
i
nt
e
x
t
.
T
he
n
,
t
he
num
be
r
of
s
t
a
t
e
s
i
s
g
e
ne
ra
t
e
d
ba
s
e
d
on
Evaluation Warning : The document was created with Spire.PDF for Python.
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4
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t
he
bl
oc
k
b
i
t
s
i
z
e
a
s
s
e
l
e
c
t
e
d
b
y
k
e
y
n
u
m
b
er
o
f
b
i
t
s
.
T
he
s
e
c
ond
ke
y,
k
e
y
n
o
o
f
t
a
b
l
e
,
i
s
a
l
s
o
ge
ne
r
a
t
e
d
ra
n
dom
l
y
i
n
de
c
i
m
a
l
for
m
for
s
e
l
e
c
t
i
ng
one
of
t
h
e
s
t
a
t
e
t
a
b
l
e
s
.
A
ft
e
r
s
e
l
e
c
t
i
ng
t
h
e
b
l
o
c
k
b
i
t
s
i
z
e
a
nd
s
t
a
t
e
nu
m
be
r
,
t
h
e
#
ope
ra
t
i
on
i
s
a
ppl
i
e
d
w
i
t
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t
hre
e
i
npu
t
s
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om
pri
s
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of
t
he
s
t
a
t
e
t
a
b
l
e
nu
m
be
r
for
c
a
l
c
ul
a
t
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ng
t
h
e
r
e
s
ul
t
a
m
o
ng
t
he
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f
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nt
s
t
a
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a
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l
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a
s
w
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l
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a
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row
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ros
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re
f
e
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nc
e
t
he
r
e
s
ul
t
i
n
t
he
t
a
bl
e
.
L
e
t
,
K
b=
k
e
y
nu
m
b
e
r
of
bi
t
s
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a
n
d
K
c
=
k
e
y
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o
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t
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bl
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he
n:
K
b=
0
001101
101010
10
.
.
.
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ne
ra
t
e
d
ra
ndo
m
l
y
for
e
n
c
ryp
t
i
o
n
a
nd
de
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ryp
t
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on
):
A
t
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a
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,
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a
ke
t
w
o
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t
s
f
rom
t
h
e
K
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a
nd
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h
e
c
k
i
t
:
-
If
K
b
=
0
0,
t
h
e
n
t
h
e
bl
o
c
k
bi
t
s
i
z
e
=
1
a
nd
r
e
c
a
l
l
2
-
s
t
a
t
e
t
a
bl
e
s
:
K
c
s
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l
e
c
t
ra
nd
om
l
y
one
t
a
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e
i
t
h
e
r
0
or
1
for
e
nc
ry
pt
i
ng
a
nd
d
e
c
ry
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-
If
K
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0
1,
t
h
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n
t
he
b
l
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k
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i
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2
a
n
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re
c
a
l
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4
-
s
t
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t
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K
c
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l
e
c
t
r
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l
y
one
t
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e
a
m
on
g
(0,
1,
.
.
.
,
4)
f
or
e
n
c
rypt
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ng
a
n
d
d
e
c
rypt
i
ng
.
-
If
K
b=
10
,
t
he
n
t
h
e
bl
o
c
k
b
i
t
s
i
z
e
=
4
a
nd
re
c
a
l
l
16
-
s
t
a
t
e
t
a
b
l
e
s
:
K
c
s
e
l
e
c
t
r
a
ndo
m
l
y
one
t
a
bl
e
a
m
ong
(0,
1,
.
.
.
,
15)
for
e
n
c
ryp
t
i
ng
a
nd
de
c
rypt
i
ng
.
-
If
K
b=
11
,
t
he
n
t
h
e
b
l
oc
k
b
i
t
s
i
z
e
=
8
a
nd
re
c
a
l
l
256
-
s
t
a
t
e
t
a
b
l
e
s
:
K
c
s
e
l
e
c
t
r
a
ndo
m
l
y
on
e
t
a
b
l
e
a
m
ong
(
0,
1,
.
.
.
,
255)
for
e
n
c
ryp
t
i
n
g
a
nd
de
c
ryp
t
i
ng
.
T
he
pro
c
e
s
s
of
t
h
e
#
ope
ra
t
i
on
c
om
pri
s
e
s
t
h
re
e
s
t
e
ps
for
a
ppl
y
i
ng
(x
L
#
P
)
i
n
e
a
c
h
r
ound
i
n
t
he
or
i
gi
na
l
bl
ow
fi
s
h
a
l
gori
t
h
m
a
s
s
how
n
i
n
F
i
gur
e
3
.
F
i
gur
e
3
s
how
s
t
he
ov
e
r
a
l
l
op
e
ra
t
i
o
n
du
ri
ng
on
e
m
odi
fi
e
d
ro
und
t
ha
t
c
o
ns
i
s
t
s
of
f
i
v
e
ope
ra
t
i
ons
(
#
w
i
t
h
di
f
fe
r
e
nt
s
t
a
t
e
s
,
X
O
R,
t
w
o
a
dd
i
t
i
on
m
odu
l
o
32
,
a
nd
a
ddi
t
i
on
)
a
s
de
s
c
r
i
be
d
i
n
S
e
c
t
i
on
5
.
F
i
gure
3
.
T
he
m
odi
f
i
e
d
pr
oc
e
s
s
of
t
h
e
#
op
e
r
a
t
i
on
i
n
one
rou
nd
4.
1
.
C
on
s
tr
u
c
t
i
on
th
e
s
tate
tab
l
e
s
T
hi
s
s
e
c
t
i
on
s
how
s
s
a
m
p
l
e
t
a
b
l
e
s
t
h
a
t
c
ons
t
r
uc
t
e
d
b
a
s
e
d
on
t
he
a
dd
i
t
i
on
op
e
ra
t
i
o
n
i
n
t
h
e
G
a
l
oi
s
fi
e
l
d
G
F
(2
n
).
Ta
bl
e
s
1
-
3
a
nd
T
a
bl
e
s
4
-
6
r
e
pre
s
e
nt
t
he
a
dd
i
t
i
on
i
n
G
F
(2
4
)
a
n
d
G
F
(2
8
)
c
ons
e
c
ut
i
ve
l
y
.
T
a
b
l
e
1
.
S
t
a
t
e
(#0)
a
dd
i
t
i
on
i
n
G
F
(2
4
)
#
8
b
its
8
b
its
8
b
its
8
b
its
32
b
its
F
P
i
xL
i
-
1
xR
i
-
1
n
u
m
b
e
r
o
f
b
its
Ke
y
n
u
m
b
e
r
o
f
sta
te
Gen
er
ate
d
if
f
er
e
n
t
s
tates
tab
les
S
e
lec
t
o
n
e
sta
te t
a
b
le
Ou
tp
u
t
a
s th
e
in
ters
e
c
ti
o
n
b
e
tw
e
e
n
th
e
ro
w
a
n
d
c
o
l
u
m
n
in
sta
te
tab
le
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
K
O
M
N
IK
A
T
e
l
e
c
om
m
un
Co
m
put
E
l
Con
t
rol
A
n
e
w
m
ul
t
i
-
l
e
v
e
l
k
e
y
b
l
oc
k
c
y
phe
r
bas
e
d
o
n
t
he
B
l
ow
f
i
s
h
al
g
or
i
t
hm
(
Suhad
M
uhaj
e
r
K
ar
e
e
m
)
689
T
a
b
l
e
2
.
S
t
a
t
e
(#3)
a
dd
i
t
i
on
i
n
G
F
(2
4
)
T
a
b
l
e
3
.
S
t
a
t
e
(#15)
a
d
di
t
i
on
i
n
G
F
(
2
4
)
T
a
b
l
e
4
.
S
t
a
t
e
(#0)
a
dd
i
t
i
on
i
n
G
F
(2
8
)
T
a
b
l
e
5
.
S
t
a
t
e
(#170)
a
ddi
t
i
on
i
n
G
F
(2
8
)
T
a
b
l
e
6
.
S
t
a
t
e
(#200)
a
ddi
t
i
on
i
n
G
F
(2
8
)
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
1693
-
6930
T
E
L
K
O
M
N
IK
A
T
e
l
e
c
om
m
un
Co
m
put
E
l
Con
t
rol
,
V
ol
.
18
,
N
o.
2
,
A
pri
l
2
020:
68
5
-
69
4
690
4.
2
.
M
od
i
fi
e
d
B
l
ow
f
i
s
h
al
gor
i
th
m
i
n
s
t
e
p
s
T
hi
s
s
e
c
t
i
on
i
nt
ro
duc
e
s
t
h
e
pro
pos
e
d
bl
ow
f
i
s
h
a
l
gori
t
h
m
i
n
s
t
e
ps
a
s
s
how
n
he
re
un
de
r
.
M
od
i
fi
e
d
s
t
e
ps
h
a
v
e
b
e
e
n
h
i
gh
l
i
gh
t
e
d
w
i
t
h
t
h
e
r
e
d
c
o
l
our
:
A
l
gor
t
hi
m
1
-
pr
opos
e
d
bl
owf
i
s
h
us
i
ng
m
ul
t
i
-
l
e
v
e
l
k
e
y
s
Inpu
t
:
P
l
ai
nt
e
x
t
64
-
bi
t
(
X
)
and
k
e
y
O
ut
put
:
C
i
phe
r
t
e
x
t
64
-
bi
t
B
e
g
i
n
S
t
e
p1
:
s
ub
k
e
y
ge
n
e
ra
t
i
o
n.
S
t
e
p
2:
G
e
ne
r
a
t
e
ra
nd
om
l
y
c
on
t
ro
l
k
e
y
32
bi
t
s
i
n
bi
n
a
ry
for
m
c
a
l
l
e
d
K
bi
(nu
m
be
r
of
b
i
t
s
)
for
16
round.
S
t
e
p3
:
E
n
c
rypt
i
on
b
e
gi
n
S
t
e
p3
.
1:
D
i
v
i
d
e
x
i
nt
o
t
w
o
32
-
b
i
t
h
a
l
v
e
s
:
xL
,
xR
S
t
e
p3
.
2:
F
or
i
=
0
t
o
16
,
c
om
p
ut
e
x
L
a
nd
xR
a
s
fo
l
l
ow
s
:
b
e
gi
n
s
t
e
p3
.
2.
1
C
om
pu
t
e
x
L
i
=
x
L
i
#
P
i
a
s
fol
l
ow
s
:
a.
S
pl
i
t
K
bi
t
o
t
w
o
bi
t
s
(
N
b
),
t
he
n
t
e
s
t
a
s
fol
l
ow
s
:
w
he
re
n
i
s
t
he
b
l
oc
k
b
i
t
s
i
z
e
s
e
l
e
c
t
e
d
fro
m
xL
i
a
nd
P
i
1.
If
N
b
=
00
,
t
he
n
n
=
1
;
go
t
o
b
;
2.
If
N
b
=
01
,
t
he
n
n
=
2
;
go
t
o
b
;
3.
If
N
b
=
10
,
t
he
n
n
=
4
;
go
t
o
b
;
4.
If
N
b
=
11
,
t
he
n
n
=
8
;
go
t
o
b
.
b.
D
e
pe
nd
i
ng
on
t
h
e
pre
v
i
ous
s
t
e
p
,
re
c
a
l
l
s
t
a
t
e
s
t
a
b
l
e
s
us
i
ng
a
dd
i
t
i
o
n
o
n
G
F
(2
n
).
c.
G
e
n
e
ra
t
e
ra
ndo
m
k
e
y
(
K
ci
)
f
or
s
e
l
e
c
t
i
ng
on
e
s
t
a
t
e
t
a
bl
e
t
ha
t
re
c
a
l
l
i
n
s
t
e
p
(b)
.
d.
Com
pu
t
e
x
L
i
by
a
p
pl
y
i
ng
t
he
op
e
r
a
t
i
on
on
(x
L
i
#
P
i
)
a
c
c
ord
i
ng
t
o
t
h
re
e
i
np
ut
s
(i
nde
x
=
n
um
b
e
r
of
s
t
a
t
e
t
a
bl
e
,
row
=
xL
i
,
a
nd
c
o
l
um
n
=
P
i
).
e.
T
he
ou
t
pu
t
of
s
t
e
p
(
d)
a
s
t
h
e
c
ros
s
poi
nt
b
e
t
w
e
e
n
t
h
e
row
a
n
d
c
ol
u
m
n
i
n
t
he
s
p
e
c
i
fi
e
d
s
t
a
t
e
t
a
b
l
e
t
o
g
i
ve
t
he
re
s
u
l
t
.
S
t
e
p3
.
2.
2
:
Com
put
e
xR
i
=
F
(x
L
i
)
xR
i
;
(F
=
fu
n
c
t
i
on
i
n
F
i
gur
e
1
)
S
t
e
p3
.
2.
3
:
S
w
a
p
t
h
e
v
a
l
u
e
s
(
xR
i
,
xL
i
)
e
nd
for
S
t
e
p3
.
3:
S
w
a
p
t
he
va
l
ue
s
(xR
,
xL
)
S
t
e
p3
.
4:
Co
m
pu
t
e
xR
=
x
R
#
P
17
a
n
d
x
L
=
x
L
#
P
18
,
w
h
e
r
e
#
c
om
pu
t
e
d
a
s
pr
e
vi
ous
S
t
e
p
(
3.
2
.
1)
S
t
e
p3
.
5:
R
e
c
o
m
b
i
ne
x
L
a
nd
xR
t
o
ge
t
t
h
e
c
i
ph
e
r
t
e
x
t
E
nd
S
t
e
p4:
D
e
c
ryp
t
i
on
D
e
c
ryp
t
i
on
i
s
e
xa
c
t
l
y
t
he
s
a
m
e
a
s
e
nc
ry
pt
i
on,
e
xc
e
pt
t
h
a
t
P
1,
P
2…P
18
a
r
e
us
e
d
e
x
a
c
t
l
y
i
n
re
ve
rs
e
or
de
r
bu
t
s
ho
ul
d
t
h
e
ke
e
p
t
he
K
bi
a
nd
K
c
i
for
r
e
t
ri
e
v
i
ng
t
h
e
p
l
a
i
nt
e
xt
.
E
nd
5.
EV
A
LU
A
TI
O
N
T
hi
s
s
e
c
t
i
on
pre
s
e
nt
s
fo
ur
e
va
l
ua
t
i
on
m
e
t
r
i
c
s
of
c
o
m
p
l
e
xi
t
y
,
e
nc
ry
pt
i
on
t
i
m
e
a
nd
t
hrou
ghput
,
N
IS
T
t
e
s
t
s
a
nd
h
i
s
t
ogr
a
m
of
t
h
e
propos
e
d
m
od
i
fi
e
d
Bl
ow
f
i
s
h
a
l
gori
t
h
m
.
5.
1
.
C
omp
l
e
xi
ty
c
omp
u
ti
n
g
A
l
gori
t
hm
c
o
m
pl
e
x
i
t
y
i
s
c
o
m
pu
t
e
d
a
g
a
i
ns
t
t
h
e
a
t
t
a
c
k
e
rs
t
o
e
s
t
i
m
a
t
e
t
he
k
e
y
[
20
]
fo
l
l
ow
e
d
by
t
he
e
n
c
ryp
t
i
o
n
t
i
m
e
s
.
T
he
c
o
m
p
l
e
x
i
t
y
i
s
c
a
l
c
ul
a
t
e
d
from
t
h
e
pos
s
i
bl
e
nu
m
b
e
r
of
k
e
ys
a
n
a
t
t
a
c
k
e
r
ne
e
ds
t
o
de
c
ry
pt
t
he
c
i
phe
r
t
e
xt
w
i
t
h
64
bi
t
s
.
T
h
e
c
om
p
l
e
x
i
t
y
of
t
he
B
l
ow
fi
s
h
a
l
go
ri
t
hm
i
n
s
i
xt
e
e
n
rounds
i
s
c
a
l
c
ul
a
t
e
d
a
s
(t
h
e
prob
a
bi
l
i
t
y
of
pl
a
i
nt
e
x
t
)
×
(t
h
e
pr
oba
bi
l
i
t
y
of
k
e
y
n
o
o
f
r
o
u
n
d
).
-
F
i
r
s
t
,
w
e
c
om
p
ut
e
t
h
e
c
o
m
pl
e
xi
t
y
of
t
he
ori
g
i
na
l
Bl
ow
fi
s
h
a
l
go
ri
t
hm
us
i
ng
a
p
re
d
e
fi
ne
d
X
O
R
b
i
na
ry
ope
ra
t
i
on
(
0,
1)
,
t
he
r
e
by
gi
vi
ng
t
he
nu
m
be
r
of
pos
s
i
b
l
e
k
e
ys
us
e
d
i
n
t
h
e
e
nc
r
ypt
i
on
a
nd
d
e
c
ry
pt
i
on
a
s
:
2
×
(2)
8
×
32
×
2
=
2
15
(
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
K
O
M
N
IK
A
T
e
l
e
c
om
m
un
Co
m
put
E
l
Con
t
rol
A
n
e
w
m
ul
t
i
-
l
e
v
e
l
k
e
y
b
l
oc
k
c
y
phe
r
bas
e
d
o
n
t
he
B
l
ow
f
i
s
h
al
g
or
i
t
hm
(
Suhad
M
uhaj
e
r
K
ar
e
e
m
)
691
-
Se
c
o
nd
,
w
he
n
us
i
ng
t
h
e
#
o
pe
r
a
t
i
on
i
n
t
he
m
od
i
fi
e
d
B
l
o
w
fi
s
h
a
l
gor
i
t
h
m
fro
m
[
1
9
]
w
i
t
h
f
our
s
t
a
t
e
s
(#0,
#1
,
#2,
a
nd
#3)
a
nd
t
w
o
bi
t
s
i
ns
t
e
a
d
of
o
ne
,
t
he
n
um
b
e
r
of
t
he
pos
s
i
b
l
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k
e
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us
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d
i
n
t
he
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nc
ry
pt
i
on
a
nd
de
c
ryp
t
i
on
i
s
:
(2
2
)
1
6
×
(2
2
)
8
×
2
2
×
32
×
2
=
2
72
(
3
)
-
T
hi
r
d
,
w
e
c
o
m
put
e
t
h
e
c
om
p
l
e
x
i
t
y
of
t
h
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propos
e
d
a
l
gor
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t
hm
us
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ng
t
h
re
e
ke
ys
a
s
(
t
h
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prob
a
bi
l
i
t
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of
pl
a
i
nt
e
xt
)
×
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he
pr
oba
b
i
l
i
t
y
of
k
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y
n
o
.
o
f
r
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u
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d
)
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(t
h
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pro
ba
b
i
l
i
t
y
o
f
t
he
s
t
a
t
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t
a
b
l
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s
)
.
T
h
e
ov
e
ra
l
l
c
o
m
pl
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xi
t
y
of
our
pr
opos
e
d
a
l
gor
i
t
h
m
i
s
a
s
fo
l
l
ow
s
:
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1
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3
2
×
(
2
2
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16
×
(2
4
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8
×
(2
8
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4
)
×
((
2
1
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32
×
(2
2
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1
6
×
(2
4
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8
×
(2
8
)
4
)
8
×
(2
×
2
2
×
2
4
×
2
8
)
×
32
×
2
=
2
1
2
8
×
2
1
0
2
4
×
2
15
×
2
5
×
2
1
=
2
1
1
7
3
(
4
)
T
a
b
l
e
7
s
u
m
m
a
ri
s
e
s
t
h
e
re
s
u
l
t
s
fro
m
c
o
m
pu
t
i
n
g
t
h
e
c
o
m
pl
e
xi
t
y
of
16
rounds
fro
m
t
he
t
hre
e
a
l
gor
i
t
h
m
s
(o
ur
pr
opos
e
d
a
l
gor
i
t
h
m
,
t
h
e
o
ri
g
i
na
l
B
l
ow
fi
s
h,
a
nd
t
h
e
pr
e
v
i
o
us
l
y
m
o
di
f
i
e
d
a
l
gori
t
h
m
from
[19
])
.
T
he
a
l
gor
i
t
h
m
c
o
m
pl
e
xi
t
y
c
o
m
pu
t
a
t
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on
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e
s
ul
t
s
a
re
c
a
l
c
ul
a
t
e
d
i
n
ke
y
s
i
z
e
of
6
4
-
bi
t
s
.
F
i
gur
e
4
e
xpl
a
i
ns
how
t
h
e
propos
e
d
Bl
ow
f
i
s
h
a
l
g
ori
t
hm
f
e
a
t
ure
s
hi
ghe
r
c
o
m
pl
e
x
i
t
y
c
om
p
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re
d
t
o
t
h
e
o
ri
g
i
na
l
a
nd
m
odi
f
i
e
d
B
l
ow
fi
s
h
fro
m
[19
]
i
n
s
i
x
t
e
e
n
rounds
.
T
a
b
l
e
7
.
T
he
c
om
p
l
e
x
i
t
y
c
om
pa
r
i
s
on
o
f
or
i
gi
na
l
,
pr
e
vi
ous
l
y
m
odi
f
i
e
d,
a
n
d
pr
opos
e
d
.
Bl
ow
fi
s
h
a
l
gor
i
t
h
m
for
s
i
xt
e
e
n
rou
nds
A
l
g
o
ri
t
h
m
T
h
e
c
o
m
p
l
e
x
i
t
y
W
e
l
l
-
k
n
o
w
n
Bl
o
w
fi
s
h
2
15
=
3
2
,
7
6
8
M
o
d
i
fi
e
d
Bl
o
w
fi
s
h
[1
9
]
2
7
2
=
4
,
7
2
2
,
3
6
6
,
4
8
2
O
u
r
p
ro
p
o
s
e
d
Bl
o
w
fi
s
h
2
1
1
7
3
=
1
.
2
8
2
8
7
6
6
8
9
4
6
2
7
9
2
1
7
4
3
7
4
1
1
e
+
3
5
3
F
i
gure
4
.
T
he
ov
e
ra
l
l
c
om
p
a
ri
s
o
n
of
t
he
c
o
m
p
l
e
x
i
t
y
5.
2
.
En
c
r
yp
ti
on
ti
me
an
d
th
r
ou
p
h
u
t
A
s
a
no
t
he
r
m
e
t
ri
c
fo
r
m
e
a
s
uri
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g
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e
rfor
m
a
n
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e
of
t
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l
go
ri
t
h
m
,
t
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n
c
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t
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s
c
o
m
put
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d
by
t
he
t
i
m
e
r
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qu
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re
d
for
c
onve
rt
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ng
t
he
p
l
a
i
nt
e
xt
i
n
t
o
a
n
unr
e
c
ogni
s
e
d
for
m
.
W
hi
l
e
t
h
e
t
hroug
hput
m
e
t
ri
c
a
s
a
ppl
i
e
d
i
n
t
hi
s
c
on
t
e
x
t
i
s
c
a
l
c
u
l
a
t
e
d
a
s
[21
,
22
]:
Thr
o
u
g
h
p
u
t
=
p
l
ai
n
t
ex
t
s
i
ze
(
in
ki
l
o
b
y
t
e
)
t
o
t
al
en
c
r
y
p
t
i
o
n
t
i
m
e
(
ms
)
(
5
)
T
a
b
l
e
8
a
nd
F
i
gur
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5
s
how
t
he
e
xp
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ri
m
e
nt
a
l
re
s
ul
t
s
fro
m
c
a
l
c
u
l
a
t
i
ng
t
h
e
e
nc
r
ypt
i
on
t
i
m
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a
n
d
t
hrough
put
for
t
he
prop
os
e
d
a
n
d
t
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m
odi
f
i
e
d
B
l
ow
fi
s
h
a
l
gor
i
t
h
m
s
.
F
ro
m
t
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s
e
t
a
bl
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f
i
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t
h
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o
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l
,
m
odi
f
i
e
d,
a
n
d
t
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pr
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d
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l
ow
f
i
s
h
a
l
gori
t
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s
a
re
e
qu
i
va
l
e
n
t
i
n
t
e
r
m
s
of
c
om
put
a
t
i
on
t
i
m
e
.
H
ow
e
v
e
r,
ou
r
propos
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d
m
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hod
off
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or
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f
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c
t
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d
t
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p
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t
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w
h
i
c
h
e
na
bl
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s
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Bl
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fi
s
h
a
l
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or
i
t
h
m
t
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m
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di
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t
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or
i
gi
n
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s
a
g
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.
0
200
400
600
800
1000
1200
W
el
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k
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n
B
l
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f
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M
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f
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B
l
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f
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s
h
[
1
9
]
O
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pr
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d
B
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f
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Co
m
p
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Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
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18
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o.
2
,
A
pri
l
2
020:
68
5
-
69
4
692
T
a
b
l
e
8
.
T
he
e
nc
ry
pt
i
on
t
i
m
e
a
nd
t
hrou
ghput
of
or
i
gi
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a
l
a
nd
propos
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d
.
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ow
fi
s
h
a
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m
s
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(k
b
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x
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(i
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m
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d
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)
fo
r:
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a
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B
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o
w
fi
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a
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g
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ri
t
h
m
O
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r
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p
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s
e
d
B
l
o
w
fi
s
h
a
l
g
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ri
t
h
m
15
8
8
25
13
12
50
31
31
80
46
46
150
50
49
500
72
72
A
v
e
ra
g
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t
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m
e
3
6
.
6
6
3
6
,
3
3
T
h
ro
u
g
h
p
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t
2
2
.
3
6
7
2
2
.
5
7
0
F
i
gure
5
.
T
he
ov
e
ra
l
l
a
na
l
ys
i
s
o
f
e
nc
r
ypt
i
on
t
i
m
e
5
.
3
.
N
I
S
T
an
a
l
ys
i
s
T
he
out
p
ut
of
t
h
e
e
nc
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on
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s
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m
ore
ra
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d
om
”
a
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unpr
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c
t
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e
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m
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pu
t
i
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t
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ra
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om
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s
s
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s
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N
IS
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(
N
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Ins
t
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t
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t
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of
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t
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“
a
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T
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c
hno
l
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)
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D
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h
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rd
t
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s
t
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s
t
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0
1
[23
,
2
4
].
In
t
hi
s
p
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r,
w
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us
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1
5
s
t
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T
h
i
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b
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v
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p
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l
i
c
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t
i
ons
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vo
l
.
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,
no.
4
,
pp
.
289
-
306
,
2015
.
[
11]
H
a
l
a
B
.
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bdu
l
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on
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m
S
.
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a
h
m
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i
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l
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.
,
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opo
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ngs
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r
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anage
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t
,
S
A
M
,
J
u
l
y
2009
.
[
12]
P
r
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y
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da
r
s
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n
i
P
.
,
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r
a
s
ha
nt
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a
r
a
ya
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.
G
.
,
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e
e
n
a
S
.
M
.
,
“
A
c
o
m
pr
e
he
n
s
i
ve
e
v
a
l
ua
t
i
o
n
of
c
r
y
pt
o
gr
a
ph
i
c
a
l
go
r
i
t
h
m
s
:
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E
S
,
3D
E
S
,
A
E
S
,
R
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A
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nd
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l
ow
f
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s
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P
r
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d
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ngs
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ona
l
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r
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ac
y
(
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C
I
SP
2
015)
,
pp
.
617
-
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nd
i
a
,
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e
c
e
m
b
e
r
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1
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13]
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K
u
m
a
r
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S
.
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r
a
bh
u
B
.
,
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r
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e
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pp
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.
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.
6,
p
p.
29
-
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,
201
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[
14]
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dr
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n,
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.
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ohn
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t
e
r
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nt
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at
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gi
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l
.
7
,
no.
5
,
pp
.
129
-
132
,
201
9
.
[
15]
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i
r
t
i
A
.
,
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a
s
pa
l
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.
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a
r
s
h
K
.
,
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r
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h
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A
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ou
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om
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l
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c
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ons
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l
.
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25
,
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10
-
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2
013
.
[
16]
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ha
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h
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l
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2
31
-
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p
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r
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8.
[
17]
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m
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r
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j
i
t
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h
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nod
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l
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pu
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A
pp
l
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c
i
e
n
c
e
s
M
D
P
I
,
pp.
1
-
15
,
2018
.
[
18]
M
on
i
ka
A
,
P
r
a
de
e
p
M
.
,
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M
odi
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a
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m
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at
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and
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d
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d
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c
hno
l
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l
.
1
,
no.
6
,
pp
.
79
-
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,
2
012
.
[
19]
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f
a
f
M
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,
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od
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nt
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ona
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our
nal
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om
pu
t
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r
S
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t
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c
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r
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t
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vo
l
.
11
,
no
.
3,
pp.
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-
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,
201
1
.
[
20]
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r
M
.
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bba
s
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du
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Mo
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m
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ng
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ne
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r
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and
T
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c
hn
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ogy
J
o
ur
n
al
,
vol
.
37
,
P
a
r
t
B
,
n
o.
3
,
pp.
86
-
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19
.
[
21]
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.
S
.
A
bdu
l
.
E
l
m
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na
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.
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.
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l
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d
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r
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.
M
.
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a
dh
oud
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e
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om
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c
at
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on
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I
B
I
M
A
.
v
o
l
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m
e
8
,
pp
.
58
-
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I
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S
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:
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-
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65
,
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009
.
[
22]
N
a
r
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n
de
r
K
.
a
nd
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r
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ya
nka
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h
.
,
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m
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l
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ou
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Sc
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hno
l
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gy
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ol
.
9,
no
.
2
0,
pp
.
2
-
1
0,
20
16
.
[
23]
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l
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a
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.
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a
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nd
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c
.
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l
u
a
t
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t
r
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al
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ne
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r
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ng
,
v
ol
.
60
,
no.
3,
pp
.
155
–
160
,
200
9.
[
24]
V
.
B
.
S
ur
e
s
h
,
D
.
A
nt
oni
ol
i
a
nd
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.
P
.
B
u
r
l
e
s
o
n,
"
O
n
-
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p
l
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gh
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gh
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m
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n
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du
c
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r
a
nd
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ne
s
s
t
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s
t
s
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t
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I
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um
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ar
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nt
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d
Se
c
ur
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t
y
and
T
r
us
t
(
H
O
ST
)
,
pp.
93
-
98
,
201
3
.
[
25]
M
oh
a
m
m
e
d
F
.
,
“
A
N
ove
l
E
n
c
r
y
pt
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on
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e
t
ho
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m
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ge
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e
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ur
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t
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,
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nt
a
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ona
l
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o
ur
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e
c
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r
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t
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and
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t
s
A
ppl
i
c
a
t
i
ons
,
vo
l
.
6
,
no
.
1,
pp
.
1
-
8,
20
12
.
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