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m
s
[
1
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.
T
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ity
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W
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Z
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[
6
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a
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Mia
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[
7
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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[
8
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p
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lev
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m
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to
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[
9
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s
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ests
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m
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o
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k
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ch
e
m
e
f
o
r
d
ig
ital
im
ag
e
b
y
u
tili
zin
g
lo
g
is
tic
m
ap
f
o
r
k
ey
s
tr
ea
m
a
s
a
r
an
d
o
m
n
u
m
b
er
g
en
er
ato
r
.
Xiu
li
C
h
ai
et
a
l.
[
1
1
]
in
tr
o
d
u
ce
d
a
s
ch
em
e
f
o
r
im
ag
e
en
cr
y
p
tio
n
d
ep
en
d
ed
o
n
th
e
m
em
r
is
tiv
e
ch
ao
tic
s
y
s
tem
,
co
m
p
r
ess
iv
e
s
en
s
in
g
an
d
elem
en
tar
y
ce
llu
lar
au
t
o
m
ata
.
W
av
elet
co
ef
f
icien
ts
o
f
an
o
r
ig
in
al
im
a
g
e
ar
e
p
er
m
u
ted
u
s
in
g
th
e
zig
za
g
p
ath
an
d
elem
en
tar
y
ce
l
lu
lar
a
u
to
m
ata.
Af
ter
th
at
,
th
e
co
m
p
r
ess
iv
e
s
en
s
in
g
is
u
tili
ze
d
to
co
m
p
r
ess
an
d
e
n
c
r
y
p
t
t
h
e
p
er
m
u
ted
im
ag
e
.
H
ash
v
alu
e
o
f
SHA
5
1
2
o
f
p
lain
im
a
g
e
is
u
s
ed
to
g
ain
s
o
m
e
p
ar
am
eter
s
u
tili
ze
d
i
n
e
n
cr
y
p
tio
n
o
p
er
atio
n
.
Ho
n
g
y
a
o
D
en
g
et
a
l.
[
1
2
]
p
r
o
p
o
s
ed
a
ch
ao
s
-
b
as
ed
im
a
g
e
en
cr
y
p
tio
n
alg
o
r
ith
m
,
b
y
s
h
u
f
f
le
to
m
ask
o
r
ig
in
al
o
r
g
an
iz
atio
n
o
f
th
e
p
i
x
els
in
im
ag
es
u
s
in
g
cat
m
ap
an
d
d
if
f
u
s
io
n
to
m
ask
th
eir
v
alu
es
u
s
in
g
lo
g
is
tic
m
ap
.
Salah
T
.
Al
lawi
[
1
3
]
p
r
esen
ted
a
n
ew
m
eth
o
d
to
en
cr
y
p
t
R
GB
im
ag
e
by
d
iv
i
d
in
g
th
e
im
a
g
e
in
to
two
eq
u
al
p
ar
ts
,
en
cr
y
p
tin
g
ea
ch
p
ar
t
u
s
in
g
a
s
ec
r
et
k
ey
g
en
e
r
ated
b
y
one
-
d
im
e
n
s
io
n
al
(
1D
)
lo
g
is
tic
m
ap
p
in
g
an
d
p
er
m
u
tatio
n
th
e
p
ix
els
p
o
s
itio
n
u
s
in
g
r
an
d
o
m
n
u
m
b
er
s
g
en
er
ate
d
b
y
u
s
in
g
lin
ea
r
-
f
ee
d
b
ac
k
s
h
if
t
r
eg
is
ter
s
(
L
FS
R
s
)
.
Pan
et
a
l.
[
1
4
]
s
tu
d
ied
th
e
d
ig
ital
im
ag
e
e
n
cr
y
p
tio
n
tech
n
o
lo
g
y
with
th
e
d
u
al
lo
g
is
tic
ch
ao
tic
m
ap
as
a
to
o
l.
Ye,
G.
,
&
H
u
an
g
[
1
5
]
p
r
esen
ted
a
ch
a
o
tic
im
ag
e
en
cr
y
p
tio
n
alg
o
r
ith
m
b
y
u
s
in
g
SHA
-
3
h
a
s
h
f
u
n
ctio
n
,
ca
t
m
ap
,
lo
g
is
tic
m
ap
an
d
a
u
to
-
u
p
d
atin
g
s
y
s
tem
.
At
th
e
s
am
e
tim
e
,
f
o
r
v
ar
io
u
s
r
o
u
n
d
s
o
f
iter
atio
n
an
d
v
a
r
io
u
s
im
ag
es,
th
e
alg
o
r
i
th
m
d
em
o
n
s
tr
at
es
lik
e
o
n
e
-
tim
e
p
ad
.
Ye,
G.
et
a
l.
[
1
6
]
p
r
esen
te
d
m
eth
o
d
i
n
clu
d
es
p
er
m
u
tatio
n
,
m
o
d
u
latio
n
a
n
d
d
if
f
u
s
io
n
p
r
o
ce
s
s
es.
T
h
i
s
t
ec
h
n
iq
u
e
o
v
er
co
m
es
th
e
d
r
awb
ac
k
in
t
r
ad
itio
n
al
m
eth
o
d
s
o
f
s
tr
ictly
p
er
m
u
tin
g
t
h
e
p
lace
s
o
f
p
ix
els
b
ef
o
r
e
d
if
f
u
s
io
n
.
I
n
f
o
r
m
atio
n
en
tr
o
p
y
is
u
tili
ze
d
to
ef
f
ec
t
t
h
e
k
e
y
s
tr
ea
m
g
e
n
er
atio
n
.
Z
h
an
g
Y.
[
1
7
]
s
u
g
g
ested
a
p
lai
n
tex
t
-
r
elate
d
im
a
g
e
en
cr
y
p
tio
n
alg
o
r
ith
m
d
e
p
en
d
e
d
o
n
h
y
p
e
r
ch
ao
tic
L
o
r
en
z
s
y
s
tem
,
s
ix
p
s
eu
d
o
r
an
d
o
m
m
atr
ices
ar
e
g
e
n
er
ated
u
s
in
g
th
e
h
y
p
e
r
c
h
ao
tic
L
o
r
en
z
s
y
s
tem
,
s
u
ch
th
at,
two
o
f
th
e
m
atr
ices
u
tili
ze
ad
d
-
m
o
d
u
l
u
s
o
p
er
atio
n
s
to
d
if
f
u
s
e
t
h
e
p
lain
tex
t
u
n
r
elate
d
im
ag
e,
o
th
er
f
o
u
r
m
atr
ices
co
n
f
u
s
e
th
e
p
lain
tex
t
r
elate
d
im
ag
e.
N.
Ou
s
s
am
a
et
a
l.
[
1
8
]
d
esig
n
ed
a
n
o
v
el
s
y
m
m
etr
ic
im
ag
e
en
cr
y
p
tio
n
m
eth
o
d
b
as
ed
o
n
p
o
lar
d
ec
o
m
p
o
s
itio
n
o
f
m
atr
ices
an
d
1
D
lo
g
i
s
tic
m
ap
.
I
n
th
is
p
ap
er
,
a
n
ew
b
lo
ck
alg
o
r
i
th
m
f
o
r
co
l
o
r
im
ag
e
en
cr
y
p
tio
n
is
s
u
g
g
ested
b
ased
o
n
th
r
ee
c
h
ao
tic
s
y
s
tem
s
to
o
v
er
co
m
e
th
e
p
r
o
b
lem
o
f
h
ig
h
co
m
p
u
tatio
n
,
p
atter
n
ap
p
ea
r
an
ce
is
s
u
e
an
d
s
o
s
lo
w
wh
en
u
s
in
g
tr
ad
itio
n
al
alg
o
r
ith
m
s
im
ag
e
e
n
cr
y
p
tio
n
.
H
ig
h
co
n
f
u
s
io
n
is
p
r
o
v
id
ed
b
y
ch
a
o
tic
s
y
s
tem
an
d
d
y
n
am
ic
S
-
b
o
x
an
d
h
ig
h
d
if
f
u
s
io
n
is
p
r
o
v
i
d
ed
b
y
p
er
m
u
tatio
n
m
eth
o
d
s
to
in
cr
ea
s
e
th
e
s
ec
u
r
ity
an
d
ef
f
icien
c
y
o
f
im
ag
e
en
cr
y
p
tio
n
.
T
h
is
p
ap
er
r
esu
lts
ar
e
ex
p
er
i
m
en
ted
b
y
in
f
o
r
m
atio
n
en
t
r
o
p
y
,
c
o
r
r
elatio
n
,
h
is
to
g
r
a
m
,
N
PC
R
,
UACI
an
d
k
ey
s
p
ac
e.
T
h
e
ex
p
er
im
e
n
ta
l
r
esu
lts
s
h
o
w
th
at
th
e
p
r
o
p
o
s
ed
s
ch
e
m
e
ef
f
icien
t
an
d
m
o
r
e
s
ec
u
r
e
f
o
r
im
ag
e
en
cr
y
p
tio
n
.
T
h
e
r
est
o
f
th
is
p
ap
er
is
o
r
g
an
ized
as
f
o
llo
ws.
I
n
s
ec
tio
n
2
,
th
e
m
eth
o
d
s
th
at
u
s
ed
in
th
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
ar
e
in
tr
o
d
u
ce
d
.
T
h
e
s
u
g
g
ested
s
ch
em
e
in
d
etails
is
p
r
esen
t
ed
in
s
ec
tio
n
3
.
T
h
e
n
,
s
ec
u
r
ity
ex
p
er
im
en
ts
with
co
m
p
ar
is
o
n
ar
e
ac
h
iev
ed
in
s
e
ctio
n
4
to
s
h
o
w
th
e
ef
f
ec
tiv
e
n
ess
o
f
o
u
r
s
ch
em
e.
Fin
ally
,
s
o
m
e
co
n
clu
s
io
n
s
th
at
ex
tr
ac
ted
f
r
o
m
th
is
wo
r
k
ar
e
i
n
s
ec
tio
n
5.
2.
CH
AO
T
I
C
SY
S
T
E
M
S
T
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
em
p
lo
y
s
th
r
ee
ch
ao
tic
m
a
p
s
in
th
is
p
ap
er
,
n
am
ely
C
h
en
s
y
s
tem
[
1
9
]
,
one
-
d
im
e
n
s
io
n
al
(
1D
)
lo
g
is
tic
m
ap
[
2
0
]
an
d
two
-
d
im
en
s
io
n
a
l
(
2D
)
Ar
n
o
ld
ca
t m
ap
[
2
1
]
.
2
.
1
.
Chen
s
y
s
t
em
C
h
en
ch
ao
tic
s
y
s
tem
[
1
9
]
is
ex
p
r
ess
ed
b
y
in
(
1
)
:
{
x
̇
=
a
(
y
−
x
)
y
̇
=
(
c
−
a
)
x
−
xz
+
cy
z
̇
=
xy
−
bz
(
1
)
wh
er
e
a
=
3
5
,
b
=
3
an
d
c
=
2
8
ar
e
p
ar
am
eter
s
,
x
,
y
,
z
a
r
e
s
t
ate
v
ar
ia
b
les.
T
h
e
a
ttra
cto
r
an
d
p
h
ase
d
iag
r
am
o
f
C
h
en
s
y
s
tem
ar
e
illu
s
tr
ated
in
Fig
u
r
e
s
1
(
a)
a
n
d
(
b
)
,
r
esp
ec
tiv
ely
.
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KOM
NI
KA
T
elec
o
m
m
u
n
C
o
m
p
u
t E
l Co
n
tr
o
l
A
n
ew b
lo
ck
cip
h
er fo
r
ima
g
e
en
cryp
tio
n
b
a
s
ed
o
n
mu
lti c
h
a
o
tic
s
ystems
(
Do
n
ia
F
a
d
h
il C
h
a
lo
b
)
2985
2
.
2
.
L
o
g
is
t
ic
m
a
p
I
n
1
8
4
5
,
Pier
r
e
Ver
h
u
ls
t su
g
g
e
s
t
ed
lo
g
is
tic
m
ap
,
th
at's a
s
im
p
le
an
d
p
o
p
u
lar
ch
ao
tic
m
ap
.
W
h
en
u
s
ed
in
1
9
7
9
v
ia
th
e
b
io
l
o
g
is
t
R
o
b
er
t
M.
Ma
y
,
lo
g
is
tic
m
ap
b
ec
am
e
v
er
y
co
m
m
o
n
.
W
h
er
e
th
e
eq
u
atio
n
o
f
o
n
e
d
im
en
s
io
n
al
lo
g
is
tic
m
ap
is
s
h
o
wn
in
(
2
)
:
x
n
+
1
=
μ
x
n
(
1
−
x
n
)
(
2
)
I
n
wh
ich
x
n
∊
[
0
,
1
]
,
x
0
d
en
o
tes
th
e
in
itial
co
n
d
itio
n
an
d
μ
is
a
co
n
s
tan
t
p
ar
am
eter
b
etwe
en
0
an
d
4
.
Fo
r
(
3
.
5
6
9
9
<
μ
≤
4
)
,
in
(
2
)
s
h
o
w
s
a
ch
ao
tic
b
eh
av
io
r
[
2
0
]
.
B
y
r
ea
s
o
n
o
f
its
s
im
p
licity
an
d
h
i
g
h
ef
f
icien
c
y
,
th
is
p
ap
er
em
p
lo
y
ed
th
e
ch
a
o
tic
s
y
s
tem
s
tim
es in
its
alg
o
r
ith
m
.
Fig
u
r
e
1
.
C
h
ao
tic
attr
ac
to
r
;
(
a)
C
h
en
attr
ac
to
r
3
-
D,
(
b
)
p
h
ase
d
iag
r
am
(x
-
y)
2
.
3
.
Arno
ld
ca
t
m
a
p
T
h
e
class
ic
Ar
n
o
ld
ca
t m
ap
is
an
in
v
er
tib
le
c
h
ao
tic
m
ap
o
f
t
wo
d
im
en
s
io
n
s
[
2
1
]
d
escr
ib
e
d
v
ia
in
(
3
)
:
[
x
n
+
1
y
n
+
1
]
=
[
1
1
1
2
]
[
x
n
y
n
]
mod
1
(
3
)
wh
er
e
x
n
,
y
n
ar
e
th
e
p
o
s
itio
n
in
th
e
m
atr
ix
o
f
s
am
p
les
(
N×
N)
,
n
=
1
,
2
,
3
,
…,
N
-
1
an
d
x
n
+
1
,
y
n
+
1
ar
e
th
e
p
o
s
itio
n
tr
an
s
f
o
r
m
ed
af
ter
ca
t
m
ap
.
T
h
e
m
ap
is
r
ec
o
g
n
ized
to
b
e
co
m
e
ch
a
o
tic,
by
ex
p
lan
atio
n
o
f
g
e
o
m
etr
y
d
is
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lay
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in
Fig
u
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e
2
,
wh
er
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o
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e
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n
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tice
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at
a
s
q
u
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it
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at
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e
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eg
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n
n
in
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etch
ed
b
y
m
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o
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n
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r
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a
n
s
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o
r
m
atio
n
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d
th
en
f
o
ld
e
d
th
r
o
u
g
h
m
o
d
,
m
o
d
u
lo
o
p
er
atio
n
.
Fig
u
r
e
2
.
Geo
m
etr
ic
ex
p
la
n
atio
n
o
f
2
D
ca
t m
a
p
3.
P
RO
P
O
SE
D
AL
G
O
R
I
T
H
M
T
h
e
en
cr
y
p
tio
n
alg
o
r
ith
m
co
n
tain
s
th
r
ee
m
ain
o
p
er
atio
n
s
,
wh
ich
ar
e:
p
er
m
u
tatio
n
,
s
u
b
s
t
itu
tio
n
an
d
ad
d
ch
ao
tic
k
ey
s
.
At
f
ir
s
t,
th
e
p
lain
im
ag
e
will
b
e
in
p
u
t
to
p
er
m
u
tatio
n
s
tep
an
d
th
en
th
e
p
er
m
u
ted
im
ag
e
will
b
e
d
iv
id
e
d
in
t
o
4
x
4
b
lo
c
k
s
to
b
e
en
ter
e
d
to
n
iter
atio
n
s
o
f
a
d
d
C
h
en
k
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,
th
en
s
u
b
s
titu
tio
n
wh
ich
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d
o
n
e
b
y
g
en
er
a
tin
g
d
y
n
am
ic
S
-
b
o
x
u
s
i
n
g
lo
g
is
tic
m
ap
.
Af
ter
th
e
e
n
d
o
f
iter
atio
n
s
th
e
r
esu
ltin
g
im
a
g
e
will b
e
p
er
m
u
ted
u
s
in
g
Ar
n
o
ld
ca
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m
ap
to
in
c
r
ea
s
e
th
e
d
if
f
u
s
io
n
.
Fin
ally
,
XOR
e
d
th
e
r
esu
lted
im
ag
e
wit
h
C
h
en
k
ey
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ich
p
r
o
v
id
e
ex
tr
a
c
o
n
f
u
s
io
n
p
r
o
ce
s
s
.
T
h
e
g
en
er
al
s
tr
u
ctu
r
e
d
iag
r
am
o
f
s
u
g
g
ested
alg
o
r
ith
m
s
h
o
wn
in
Fig
u
r
e
3.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
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1
6
9
3
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6
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No
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6
,
Dec
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b
e
r
2
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2
0
:
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2986
Fig
u
r
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3
.
Gen
e
r
al
s
tr
u
ctu
r
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o
f
p
r
o
p
o
s
ed
alg
o
r
ith
m
3
.
1
.
P
er
m
uta
t
i
o
n
m
et
ho
d
I
n
o
r
d
er
to
ac
h
iev
e
th
e
p
er
m
u
t
atio
n
tech
n
iq
u
e
o
f
cr
y
p
to
s
y
s
tem
s
,
s
cr
am
b
len
ess
b
eh
av
io
r
i
s
r
eq
u
ir
ed
.
I
n
th
is
al
g
o
r
ith
m
,
two
p
e
r
m
u
ta
tio
n
m
eth
o
d
s
a
r
e
u
s
ed
f
o
r
p
r
o
v
id
in
g
a
h
i
g
h
lev
el
o
f
d
if
f
u
s
io
n
.
I
n
th
is
m
et
h
o
d
we
r
elied
o
n
s
cr
am
b
lin
g
r
o
ws
an
d
co
lu
m
n
s
b
ased
o
n
s
u
m
in
v
ar
ian
ce
o
f
r
o
w
an
d
c
o
lu
m
n
th
r
o
u
g
h
cir
cu
lar
s
h
if
t
p
r
o
ce
s
s
.
I
n
th
e
b
eg
i
n
n
in
g
we
s
h
if
ts
ea
ch
r
o
w
in
im
ag
e
b
y
t
h
e
to
tal
s
u
m
o
f
th
e
r
o
w
an
d
c
o
lu
m
n
'
s
p
ix
el
v
al
u
es
an
d
s
av
e
th
e
r
esu
lt
im
ag
e
in
a
v
ar
iab
le,
an
d
th
e
n
tr
an
s
p
o
s
e
th
e
r
esu
ltin
g
im
ag
e
an
d
im
p
lem
e
n
t
th
e
s
am
e
m
eth
o
d
in
ea
ch
c
o
lu
m
n
o
n
th
e
tr
an
s
p
o
s
ed
im
ag
e.
T
ab
le
1
s
h
o
wn
th
e
r
an
d
o
m
s
wap
o
f
1
0
x
1
0
lad
y
b
u
g
s
u
b
im
ag
e
p
ix
els.
Fig
u
r
e
4
s
h
o
wn
th
e
p
lain
la
d
y
b
u
g
im
a
g
e
an
d
th
e
r
esu
ltin
g
i
m
ag
e
af
ter
p
er
m
u
tatio
n
.
T
ab
le
1
.
Or
ig
i
n
al
p
ix
el
lo
ca
tio
n
o
n
lef
t a
n
d
th
ei
r
n
ew
p
o
s
itio
n
o
n
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ig
h
t
T
h
e
r
an
d
o
m
s
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o
f
1
0
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1
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lad
y
b
u
g
s
u
b
im
a
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p
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els
86
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4
(
a)
(
b
)
Fig
u
r
e
4
.
(
a
)
Plain
lad
y
b
u
g
im
ag
e
,
(
b
)
p
er
m
u
ted
lad
y
b
u
g
im
ag
e
Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KOM
NI
KA
T
elec
o
m
m
u
n
C
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m
p
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ima
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(
Do
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a
d
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il C
h
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b
)
2987
3
.
1
.
1
.
P
er
m
uta
t
io
n
a
lg
o
rit
h
m
I
n
p
u
t: p
lain
im
ag
e
(
m
)
Ou
tp
u
t: p
er
m
u
ted
im
ag
e
(
p
1
)
Step
1
: r
ea
d
p
lain
im
a
g
e(
m
)
Step
2
: f
o
r
c
o
l1
←
1
: size
(
m
)
I1
←
cir
cu
lar
_
s
h
if
t
(
s
u
m
(
m
(
c
o
lu
m
n
)
)
)
en
d
Step
3
: f
o
r
r
o
w1
←
1
: size
(
m
)
I2
←
cir
cu
lar
_
s
h
if
t
(
s
u
m
(
m
(
r
o
w)
)
)
en
d
Step
4
: tr
an
s
p
o
s
e(
I
2
)
Step
5
: f
o
r
c
o
l2
←
1
: size
(
m
)
I3
←
cir
cu
lar
_
s
h
if
t
(
s
u
m
(
m
(
c
o
lu
m
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)
)
)
en
d
Step
6
: f
o
r
r
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w2
←
1
: size
(
m
)
I4
←
cir
cu
lar
_
s
h
if
t
(
s
u
m
(
m
(
r
o
w)
)
)
en
d
Step
7
: p
1
←
I4
3.
2
.
Su
bs
t
it
utio
n
I
n
th
is
p
r
o
ce
s
s
,
th
is
p
ap
er
g
en
er
ates
a
d
y
n
am
ic
S
-
b
o
x
u
s
in
g
lo
g
is
tic
m
ap
a
n
d
im
p
r
o
v
e
th
e
k
ey
s
en
s
itiv
ity
b
y
im
p
lem
en
tin
g
t
h
e
p
r
o
p
o
s
ed
p
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m
u
tatio
n
m
et
h
o
d
o
n
t
h
e
S
-
b
o
x
in
ea
ch
r
o
u
n
d
,
wh
er
e
ea
ch
b
lo
ck
will
b
e
s
u
b
s
titu
ted
with
a
n
ew
S
-
b
o
x
,
th
is
o
p
er
atio
n
will
p
r
o
v
id
e
o
n
e
tim
e
p
a
d
p
r
o
p
er
ty
.
Fig
u
r
e
5
d
e
m
o
n
s
tr
ates
th
e
r
esu
lt o
f
en
c
r
y
p
t
io
n
h
o
u
s
e
im
ag
e
b
y
u
s
in
g
d
y
n
am
ic
S
-
b
o
x
o
n
ly
.
(
a)
(
b
)
Fig
u
r
e
5
.
(
a
)
Plain
h
o
u
s
e
im
ag
e
,
(
b
)
im
a
g
e
af
ter
s
u
b
s
titu
tio
n
p
r
o
ce
s
s
3
.
3
.
E
ncry
ptio
n
a
lg
o
ri
t
hm
I
n
p
u
t: p
e
r
m
u
ted
im
ag
e
(
p
1
)
,
C
h
en
_
k
e
y
,
L
o
g
is
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p
ar
am
eter
s
(
x
,
n
,
r
0
)
b
lo
c
k
s
ize(
z)
Ou
tp
u
t: e
n
cr
y
p
t
e
d
im
ag
e
(
c)
Step
1
: r
ea
d
p
e
r
m
u
ted
im
a
g
e
(
p
1
)
Step
2
: k
1
←
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1
,
C
h
en
_
k
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)
Step
3
:
Sb
o
x
←
L
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g
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m
ap
(
x
,
n
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r
0
)
f
o
r
j
←
1
:z
s
u
b
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b
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te
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m
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tati
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s
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s
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p
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Step
4
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2
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5
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2
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x
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Step
6
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←
k2
3.
4
.
Dec
ry
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o
n
a
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o
rit
h
m
I
n
p
u
t: e
n
c
r
y
p
te
d
im
ag
e
(
c
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,
C
h
en
_
k
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y
,
I
n
v
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tic
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ar
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e
ter
s
(
x
1
,
n
1
,
r
0
)
b
lo
ck
s
ize(
z)
Ou
tp
u
t: p
lain
im
ag
e
(
m
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
1
6
9
3
-
6
9
3
0
T
E
L
KOM
NI
K
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T
elec
o
m
m
u
n
C
o
m
p
u
t E
l Co
n
tr
o
l
,
Vo
l.
18
,
No
.
6
,
Dec
em
b
e
r
2
0
2
0
:
298
3
-
299
1
2988
Step
1
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ea
d
en
c
r
y
p
ted
im
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(
c)
Step
2
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2
←
x
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r
(
C
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en
_
k
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c
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Step
3
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2
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Ar
o
n
ld
ca
t_
m
ap
(
k
2
)
Step
4
: I
n
v
_
Sb
o
x
←
Inv
_
L
o
g
is
tic_
m
a
p
(
x
1
,
n
1
,
r
0
)
f
o
r
j
←
1
:z
I
n
v
_
s
u
b
_
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y
te
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n
v
_
p
er
m
u
tatio
n
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I
n
v
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Sb
o
x
)
s
←
I
n
v
_
s
u
b
_
b
y
te
(
p
2
)
en
d
Step
5
: k
1
←
XOR(s,
C
h
en
_
k
ey
)
Step
6
:
m
←
k1
4.
SE
CUR
I
T
Y
ANA
L
YS
I
S
T
h
e
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ad
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p
o
f
v
ar
i
o
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s
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r
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ts
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t
th
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o
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e
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r
o
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o
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ed
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o
r
ith
m
an
d
in
[
1
7
]
.
T
h
e
e
x
p
er
im
en
ts
ar
e
p
er
f
o
r
m
ed
v
ia
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tlab
R
2
0
1
3
a
o
n
a
co
m
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ter
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n
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o
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e
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f
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AM
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1
.
H
is
t
o
g
ra
m
a
na
ly
s
is
His
to
g
r
am
an
aly
s
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u
s
ed
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e
x
p
lain
th
e
co
n
f
u
s
io
n
a
n
d
d
if
f
u
s
io
n
ch
ar
ac
ter
is
t
ic
o
f
th
e
e
n
cr
y
p
tio
n
alg
o
r
ith
m
.
Fig
u
r
e
6
s
h
o
wn
t
h
e
d
if
f
er
e
n
ce
in
im
a
g
e
d
is
tr
ib
u
ti
o
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am
o
n
g
p
lain
f
lo
we
r
im
ag
e,
its
p
er
m
u
tatio
n
an
d
en
cr
y
p
tio
n
.
(
a)
(
b
)
(
c)
(
d
)
(
e)
(f)
(
g
)
(
h
)
(
i)
Fig
u
r
e
6
.
His
to
g
r
am
an
aly
s
is
;
(
a)
,
(
b
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an
d
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g
e
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(
e)
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d
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r
e
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is
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a
m
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er
m
u
ted
im
a
g
e
o
f
R
GB
,
(
g
)
,
(
h
)
an
d
(
i)
a
r
e
h
is
to
g
r
am
en
cr
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p
ted
im
ag
e
o
f
R
GB
4
.
2
.
Co
rr
el
a
t
io
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e
f
f
icient
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ly
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is
E
v
er
y
p
ix
el
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ex
tr
em
ely
ass
o
ciate
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n
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h
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o
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g
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ix
els
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th
e
im
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e
d
ata
[
2
2
]
.
A
ty
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ical
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cr
y
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tio
n
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o
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ith
m
s
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ld
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t
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er
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ag
e
i
n
th
e
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h
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o
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t
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ch
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n
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izo
n
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iag
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d
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tical
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h
e
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r
r
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n
b
etwe
en
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eig
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o
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in
g
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ix
els
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s
tu
d
ied
b
y
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o
llo
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g
eq
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atio
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s
:
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T
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v
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x
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y
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x
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x
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3
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I
nfo
r
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t
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n
a
ly
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n
f
o
r
m
atio
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t
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o
p
y
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alu
ates
u
n
ce
r
tain
ty
o
f
a
r
an
d
o
m
v
a
r
iab
le
as f
o
llo
w
in
g
[
2
3
]
:
E
=
∑
P
(
i
)
l
og
(
1
P
(
i
)
)
,
256
i
=
1
(
7
)
wh
er
e
P(i)
is
th
e
ev
e
n
tu
ality
p
r
esen
ce
o
f
p
i
x
el
i.
A
lar
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er
en
t
r
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p
y
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e
d
e
n
o
tes
a
b
i
g
g
er
s
ec
u
r
ity
lev
el
th
at
u
s
ed
to
ass
es
s
th
e
im
ag
es
en
cr
y
p
tio
n
.
C
o
m
m
o
n
ly
,
an
en
tr
o
p
y
v
a
lu
e
so
clo
s
e
to
th
e
ty
p
ical
v
al
u
e
o
f
8
is
r
eg
ar
d
ed
s
ec
u
r
e
f
r
o
m
a
b
r
u
te
f
o
r
ce
attac
k
.
T
h
e
v
alu
es
o
f
in
f
o
r
m
atio
n
e
n
tr
o
p
y
th
at
o
b
tain
ed
f
r
o
m
p
r
o
p
o
s
ed
alg
o
r
ith
m
ar
e
clo
s
er
to
8
,
th
is
s
h
o
ws
th
at
th
e
p
r
o
p
o
s
ed
m
eth
o
d
h
as
g
o
o
d
r
an
d
o
m
.
T
ab
le
3
s
h
o
ws
th
e
v
alu
es
o
f
in
f
o
r
m
atio
n
en
tr
o
p
y
f
o
r
th
e
v
a
r
io
u
s
p
lain
i
m
ag
es a
n
d
en
c
r
y
p
te
d
im
ag
es.
T
ab
le
3
.
I
n
f
o
r
m
at
io
n
e
n
tr
o
p
y
o
f
p
lain
a
n
d
en
c
r
y
p
te
d
im
ag
e
o
f
p
r
o
p
o
s
ed
al
g
o
r
ith
m
I
mag
e
s
En
t
r
o
p
y
o
f
p
l
a
i
n
i
ma
g
e
s
En
t
r
o
p
y
o
f
p
r
o
p
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se
d
s
y
st
e
m
H
o
u
s
e
7
.
7
8
7
1
7
.
9
9
9
0
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l
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r
7
.
7
6
6
6
7
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p
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r
7
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7
1
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o
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7
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7
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7
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o
r
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7
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6
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4
3
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k
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7
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3
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7
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5
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9
9
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p
l
a
sh
7
.
3
7
9
5
7
.
9
9
9
0
4
.
4
.
Ana
ly
s
is
o
f
re
s
is
t
ing
diff
er
ent
ia
l a
t
t
a
ck
s
Dif
f
er
en
tial
attac
k
s
tu
d
ies
h
o
w
a
m
in
o
r
ch
a
n
g
in
g
in
a
n
o
r
ig
i
n
al
im
ag
e
is
ab
le
t
o
in
f
lu
en
ce
co
r
r
esp
o
n
d
in
g
en
cr
y
p
ted
i
m
ag
e.
A
ty
p
ical
e
n
cr
y
p
tio
n
al
g
o
r
it
h
m
h
a
v
e
to
b
e
a
b
le
to
with
s
tan
d
d
if
f
e
r
en
tial
attac
k
,
wh
ich
m
ea
n
s
,
an
y
tin
y
c
h
an
g
e
(
ev
e
n
if
ch
a
n
g
ed
a
b
it)
in
a
n
o
r
ig
in
al
im
a
g
e
will
lea
d
i
n
a
to
tally
d
if
f
er
e
n
t
en
cr
y
p
ted
im
a
g
e.
Nu
m
b
er
o
f
p
ix
els
ch
an
g
e
r
ate
(
NPC
R
)
an
d
u
n
if
ied
av
e
r
ag
e
ch
an
g
in
g
in
ten
s
ity
(
UACI)
,
d
escr
ib
ed
b
y
i
n
(
8
)
an
d
(
9
)
,
a
r
e
two
o
f
th
e
m
o
s
t
co
m
m
o
n
in
d
i
ca
to
r
s
to
d
eter
m
in
e
th
e
c
o
m
p
et
en
ce
o
f
d
if
f
er
en
tial
attac
k
s
r
esis
tin
g
in
en
cr
y
p
t
ed
i
m
ag
e
[
2
4
]
:
N
PCR
=
1
W
×
H
∑
∑
d
ij
×
100%
H
j
=
1
,
W
i
=
1
(
8
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
1
6
9
3
-
6
9
3
0
T
E
L
KOM
NI
K
A
T
elec
o
m
m
u
n
C
o
m
p
u
t E
l Co
n
tr
o
l
,
Vo
l.
18
,
No
.
6
,
Dec
em
b
e
r
2
0
2
0
:
298
3
-
299
1
2990
UACI
=
1
255
×
W
×
H
∑
∑
|
C
ij
1
C
ij
2
|
H
j
=
1
W
i
=
1
×
100%
,
(
9
)
wh
er
e
H
an
d
W
r
ef
er
to
th
e
h
eig
h
t
an
d
wid
th
o
f
th
e
en
cr
y
p
te
d
im
ag
es,
C
1
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d
C
2
ar
e
two
cip
h
er
im
ag
es
an
d
d
ij
is
d
ef
in
ed
by
i
n
(
1
0
)
:
d
ij
=
{
0
,
C
ij
1
=
C
ij
2
,
1
,
C
ij
1
≠
C
ij
2
.
(
1
0
)
T
h
e
ty
p
ical
v
al
u
e
o
f
NPC
R
a
n
d
UACI
ar
e
9
9
.
6
1
an
d
3
3
.
4
6
[
7
]
.
T
h
is
p
a
p
er
im
p
lem
e
n
t
ed
NPC
R
an
d
UACI
m
ea
s
u
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s
t
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tatis
t
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if
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ACK
NO
WL
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DG
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M
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W
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ld
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k
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s
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www.
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B
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s
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t in
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Evaluation Warning : The document was created with Spire.PDF for Python.
T
E
L
KOM
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T
elec
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m
m
u
n
C
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m
p
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(
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2991
RE
F
E
R
E
NC
E
S
[1
]
Y.
Wan
g
,
K.
W.
W
o
n
g
,
X.
Li
a
o
,
a
n
d
G.
Ch
e
n
,
“
A
n
e
w
c
h
a
o
s
-
b
a
se
d
fa
st
ima
g
e
e
n
c
ry
p
ti
o
n
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l
g
o
ri
th
m
,
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p
li
e
d
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o
ft
Co
mp
u
t
in
g
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v
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l
.
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1
,
p
p
.
5
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2
2
,
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0
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1
.
[2
]
N.
K.
P
a
re
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k
,
V.
P
a
ti
d
a
r
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n
d
K.
K.
S
u
d
,
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Diff
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sio
n
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b
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ra
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Dig
it
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Pro
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l.
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3
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3
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p
p
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.
[3
]
I.
Hu
ss
a
in
,
T.
S
h
a
h
,
a
n
d
M
.
A
.
G
o
n
d
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l,
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c
h
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5
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[4
]
Z.
Z
h
u
,
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Zh
a
n
g
,
K.
W
o
n
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,
a
n
d
H.
Y
u
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c
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[5
]
M.
J.
Ro
sta
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A.
S
h
a
h
b
a
,
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.
S
a
ry
a
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z
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p
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with
c
h
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win
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ws
b
a
se
d
o
n
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o
g
ist
ic m
a
p
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mp
u
ter
s a
n
d
El
e
c
trica
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En
g
in
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[6
]
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h
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n
g
,
H.
Yu
,
Y.
Z
h
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o
,
Z.
Z
h
u
,
“
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a
g
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ry
p
ti
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Pro
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.
[7
]
L.
Li
u
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a
n
d
S.
M
iao
,
“
A
n
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w
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g
e
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c
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p
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b
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c
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o
ti
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m
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p
with
v
a
r
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p
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ra
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p
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rPlu
s
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v
o
l.
5
,
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o
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1
,
2
0
1
6
.
[8
]
L.
Xu
,
Z.
Li
,
J.
Li
,
a
n
d
W.
Hu
a
,
“
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n
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v
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b
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Op
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d
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E
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g
,
v
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l.
78
,
p
p
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25
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.
[9
]
X.
Wan
g
,
L
.
Li
u
,
a
n
d
Y.
Z
h
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n
g
,
“
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ro
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p
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n
d
L
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in
En
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1
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Ch
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h
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An
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3
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.
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0
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A.
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.
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P
.
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.
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2
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.
[2
3
]
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.
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V.
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n
,
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.
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ry
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m
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a
n
d
T
.
Blaž
a
u
sk
a
s
,
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o
.
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p.
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-
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,
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0
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.
[2
4
]
T
.
Li,
J.
S
h
i,
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L
i,
J.
W
u
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n
d
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.
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a
n
,
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En
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ry
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.
[2
5
]
H.
Li
u
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A.
Ka
d
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.
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g
,
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Op
ti
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s Co
mm
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3
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p
.
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.
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