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s
[
1
0
]
,
[
1
1
]
.
Div
er
s
e
d
o
m
ain
s
,
in
clu
d
in
g
g
en
etic
alg
o
r
ith
m
s
[
1
2
]
–
[
1
6
]
,
3
D
ch
ao
tic
m
ap
s
[
1
6
]
,
o
n
e
-
tim
e
k
ey
s
[
1
7
]
,
co
m
p
r
ess
iv
e
s
en
s
in
g
[
1
8
]
,
[
1
9
]
,
an
d
p
er
ce
p
tr
o
n
-
lik
e
n
etwo
r
k
s
[
2
0
]
,
h
av
e
g
iv
en
r
is
e
to
a
v
ar
iety
o
f
c
h
ao
tic
p
ictu
r
e
en
cr
y
p
tio
n
s
ch
em
es.
I
n
o
r
d
er
t
o
h
an
d
le
p
r
o
b
lem
s
with
d
y
n
am
ic
d
eg
r
ad
atio
n
,
Qo
b
b
i
et
a
l.
[
2
1
]
cr
ea
ted
an
en
cr
y
p
tio
n
a
r
ch
itectu
r
e
in
t
h
eir
wo
r
k
th
at
u
s
es
r
ep
lace
m
en
t
-
d
if
f
u
s
io
n
p
r
o
ce
s
s
es
with
s
tan
d
ar
d
an
d
lo
g
is
tic
m
ap
s
.
Ak
r
aa
m
et
a
l.
[
2
2
]
s
h
o
wed
h
o
w
alg
o
r
ith
m
ic
s
ec
u
r
ity
co
u
ld
b
e
jeo
p
ar
d
ized
b
y
u
s
in
g
Ar
n
o
l
d
’
s
ch
ao
tic
s
eq
u
en
ce
s
as
k
ey
s
.
W
an
g
an
d
L
iu
[
2
3
]
ad
d
r
ess
ed
wo
r
r
ies
r
eg
ar
d
in
g
d
y
n
am
ic
d
eg
r
ad
atio
n
in
ch
ao
tic
cr
y
p
t
o
g
r
ap
h
y
b
y
p
r
esen
tin
g
th
e
o
r
etica
l
p
r
o
o
f
o
f
th
e
s
ec
u
r
ity
o
f
ch
ao
tic
f
lo
wch
ar
t
cip
h
er
s
y
s
tem
s
,
d
e
m
o
n
s
tr
atin
g
th
at
al
g
o
r
ith
m
ic
s
ec
u
r
ity
is
n
o
t
en
d
an
g
e
r
ed
b
y
ch
ao
tic
s
eq
u
en
ce
s
.
Ad
d
itio
n
a
lly
,
b
y
in
teg
r
atin
g
s
p
ac
e,
d
o
m
ain
s
,
an
d
tim
e,
Kan
g
et
a
l.
[
2
4
]
s
u
g
g
ested
an
en
cr
y
p
tio
n
ar
ch
itectu
r
e
t
h
at
en
h
an
ce
s
s
ec
u
r
ity
b
y
c
o
m
b
i
n
in
g
a
lo
g
is
tic
m
ap
with
a
n
o
v
el
r
ea
lity
-
p
r
eser
v
in
g
p
ar
am
eter
o
f
f
r
ac
tio
n
al
t
r
an
s
f
o
r
m
.
Z
h
an
g
an
d
W
ei
[
2
5
]
p
r
o
p
o
s
ed
a
n
o
v
el
a
r
ch
itectu
r
e
in
th
eir
p
ap
e
r
f
o
r
en
cr
y
p
tin
g
co
lo
r
im
ag
es.
T
h
is
ar
ch
itectu
r
e
co
m
b
in
es
th
e
L
o
r
en
z
ch
ao
tic
s
y
s
tem
with
DNA
co
m
p
u
tin
g
,
cr
ea
tin
g
a
ch
a
o
tic
s
y
s
tem
with
s
p
atial
an
d
tem
p
o
r
al
p
ar
am
ete
r
s
[
2
6
]
,
[
2
7
]
.
Mo
s
t
tr
ad
itio
n
al
s
y
s
tem
s
ar
e
s
till
s
u
s
ce
p
tib
le
to
s
tati
s
tical
an
d
f
r
eq
u
en
cy
attac
k
s
.
Ad
d
itio
n
ally
,
if
th
er
e
is
n
o
c
h
ain
in
g
b
etwe
en
t
h
e
cip
h
er
an
d
t
h
e
s
u
b
s
eq
u
e
n
t
p
lain
b
lo
ck
s
,
m
o
s
t
s
y
s
tem
s
ar
e
also
s
u
s
ce
p
tib
le
to
d
if
f
er
en
tial
attac
k
s
.
Mo
r
eo
v
er
,
th
is
m
eth
o
d
wo
r
k
s
esp
ec
ially
well
f
o
r
en
c
r
y
p
tin
g
b
i
g
d
at
asets
with
a
lo
t
o
f
r
ed
u
n
d
an
cy
an
d
s
ig
n
if
ican
t
c
o
r
r
elatio
n
s
.
Ou
r
co
n
tr
ib
u
tio
n
is
to
elab
o
r
ate
a
p
r
o
ce
d
u
r
e
f
o
r
cr
ea
tin
g
f
r
esh
s
u
b
s
titu
tio
n
tab
les with
v
ar
y
in
g
s
izes,
ac
h
iev
ed
th
r
o
u
g
h
th
e
u
tili
za
tio
n
o
f
m
u
ltip
le
(
L
C
G)
.
Fu
r
th
er
m
o
r
e
,
it will
in
tr
o
d
u
ce
a
g
en
etic
c
r
o
s
s
o
v
er
m
eth
o
d
tailo
r
ed
f
o
r
en
c
r
y
p
tin
g
ex
ten
s
iv
e
d
atasets
.
T
h
is
m
et
h
o
d
in
co
r
p
o
r
ates
a
n
en
h
an
ce
d
Vig
en
e
r
e
tech
n
iq
u
e
v
er
s
io
n
,
in
teg
r
atin
g
th
e
n
e
wly
g
en
e
r
ated
s
u
b
s
titu
tio
n
ta
b
les
to
b
o
ls
ter
th
e
p
r
eser
v
atio
n
o
f
th
e
p
lain
im
a
g
e’
s
in
teg
r
ity
.
T
h
e
r
ec
o
m
m
e
n
d
ed
e
n
cr
y
p
tio
n
ar
ch
itectu
r
e
s
ig
n
if
ican
tly
r
ed
u
ce
s
en
cr
y
p
tio
n
tim
e
co
m
p
ar
e
d
to
th
o
s
e
s
u
g
g
ested
b
y
o
th
er
s
ch
o
lar
s
.
T
h
e
co
n
tr
o
l
p
ar
a
m
eter
s
an
d
k
ey
s
ar
e
g
en
er
ated
r
a
p
id
ly
f
r
o
m
n
u
m
er
o
u
s
lin
ea
r
co
n
g
r
u
en
t
g
e
n
er
ato
r
s
b
ased
o
n
ch
ao
tic
m
ap
s
.
T
h
e
alg
o
r
ith
m
ex
h
i
b
its
o
u
ts
tan
d
in
g
s
ec
u
r
ity
,
as
ev
id
e
n
ce
d
b
y
t
h
e
s
im
u
latio
n
,
s
ec
u
r
i
ty
,
an
d
co
m
p
ar
ativ
e
r
esu
lts
with
o
th
er
alg
o
r
ith
m
s
,
s
h
o
wca
s
in
g
its
ab
ilit
y
to
with
s
tan
d
ty
p
ical
attac
k
s
.
T
h
e
p
r
esen
t
p
ap
er
is
d
iv
id
e
d
in
to
s
ep
ar
ate
p
iece
s
f
o
r
th
e
r
em
ain
d
er
o
f
it.
T
h
ese
co
m
p
r
is
e
an
in
tr
o
d
u
ctio
n
to
th
e
th
e
o
r
etica
l
b
ac
k
g
r
o
u
n
d
,
in
tr
o
d
u
cin
g
th
e
b
asis
o
f
ch
ao
tic
s
eq
u
en
ce
s
an
d
g
en
etic
o
p
e
r
ato
r
s
p
r
o
ce
d
u
r
es;
an
o
u
tlin
e
o
f
th
e
s
u
g
g
ested
m
eth
o
d
o
lo
g
y
,
ex
p
lain
in
g
th
e
d
etails
o
f
th
e
cip
h
er
i
n
g
an
d
th
eir
r
e
v
er
s
e
p
r
o
ce
d
u
r
es;
an
ex
p
er
im
e
n
tal
r
esu
lts
s
ec
tio
n
,
p
r
esen
tin
g
r
ese
ar
ch
r
esu
lts
,
co
m
p
ar
is
o
n
s
,
an
d
d
is
cu
s
s
io
n
s
with
th
eir
co
u
n
te
r
p
ar
t m
et
h
o
d
s
; a
n
d
a
co
n
clu
s
io
n
s
ec
tio
n
r
ec
ap
itu
l
atin
g
th
e
r
esu
lts
.
2.
M
E
T
H
O
D
Ou
r
tech
n
iq
u
e
co
n
s
is
ts
o
f
d
ev
elo
p
in
g
two
lar
g
e
s
u
b
s
titu
tio
n
tab
les.
T
h
ese
two
tab
les
wi
ll
b
e
u
s
ed
to
im
p
lem
en
t
a
n
ew
e
n
h
an
ce
m
en
t
o
f
th
e
tr
ad
itio
n
al
Vig
e
n
e
r
e
alg
o
r
ith
m
.
T
h
is
tech
n
i
q
u
e
ap
p
lies
co
n
f
u
s
io
n
f
u
n
ctio
n
s
attac
h
ed
to
SB
o
x
es a
n
d
is
co
m
p
o
s
ed
f
r
o
m
th
e
f
o
llo
win
g
ax
es.
2
.
1
.
Select
ed
cha
o
t
ic
s
equen
ce
s
T
h
e
th
r
ee
ch
a
o
tic
m
ap
s
th
at
w
e
h
av
e
s
elec
ted
to
g
u
a
r
an
tee
t
h
e
ef
f
ec
tiv
e
o
p
er
atio
n
o
f
o
u
r
s
y
s
tem
ar
e
th
e
s
k
ew
ten
t
m
ap
,
th
e
AJ
m
ap
,
an
d
th
e
lo
g
is
tics
ca
r
d
s
.
T
h
ese
ar
e
th
e
ca
r
d
s
th
at
ar
e
u
s
ed
th
e
m
o
s
t
in
th
e
cr
y
p
to
g
r
ap
h
y
d
o
m
ain
.
T
h
is
ch
o
ice
was
m
ad
e
b
ec
au
s
e
o
f
th
e
ir
o
u
ts
tan
d
in
g
r
ea
ctiv
ity
to
b
e
g
in
n
in
g
c
o
n
d
itio
n
s
an
d
ea
s
e
o
f
c
o
n
f
ig
u
r
atio
n
.
2
.
1
.
1
.
T
he
lo
g
is
t
ic
m
a
p
T
h
is
m
ap
(
)
[
2
8
]
is
a
s
eq
u
en
ce
ex
p
r
ess
ed
b
y
a
s
im
p
le
s
ec
o
n
d
-
d
eg
r
ee
p
o
ly
n
o
m
ial
d
ef
in
ed
r
ec
u
r
r
en
tly
b
y
(
1
)
.
I
i
t
h
as
h
ig
h
s
en
s
itiv
ity
to
in
itial
co
n
d
itio
n
s
an
d
is
ea
s
y
to
co
n
f
ig
u
r
e
in
an
y
cr
y
p
to
s
y
s
tem
.
T
h
is
ch
ar
ac
ter
is
tic
is
co
n
f
ir
m
e
d
b
y
th
e
ca
lcu
lated
v
al
u
e
o
f
th
e
L
y
ap
u
n
o
v
e
x
p
o
n
en
t.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J E
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&
C
o
m
p
E
n
g
I
SS
N:
2088
-
8
7
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n
h
a
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ce
d
V
ig
e
n
ere
en
cryp
tio
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T
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k
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ent
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SK
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T
h
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m
ap
(
)
[
2
9
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is
a
s
eq
u
en
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ex
p
r
ess
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b
y
a
s
im
p
le
s
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A.
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m
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2
8
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is
a
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en
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x
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r
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y
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en
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[
1
.
47
]
(
)
=
+
1
{
2
0
≤
≤
(
1
+
)
−
1
−
(
1
+
)
−
1
≤
≤
1
(
3
)
T
h
e
h
y
b
r
id
izatio
n
em
p
lo
y
m
e
n
t
o
f
t
h
r
ee
c
h
ao
tic
m
a
p
s
h
as
th
e
ad
v
a
n
tag
e
o
f
d
er
iv
in
g
all
es
s
en
tial
p
ar
am
eter
s
r
eq
u
ir
ed
f
o
r
o
u
r
in
n
o
v
ativ
e
a
r
ch
itectu
r
e
ef
f
icien
c
y
an
d
ef
f
e
ctiv
en
ess
.
B
ased
o
n
th
e
co
n
s
tr
u
ctio
n
o
f
m
u
ltip
le
s
u
b
s
titu
tio
n
tab
les
u
s
in
g
p
s
eu
d
o
r
an
d
o
m
lin
ea
r
c
o
n
g
r
u
en
tial
g
en
er
at
o
r
s
an
d
a
g
en
etic
c
r
o
s
s
o
v
er
ac
tin
g
at
th
e
b
it
lev
el
u
n
d
er
th
e
co
n
t
r
o
l
o
f
a
cr
o
s
s
o
v
er
tab
le
c
o
n
s
tr
u
ct
ed
f
r
o
m
th
e
ch
ao
tic
m
a
p
s
u
s
ed
.
Ou
r
m
eth
o
d
is
d
escr
ib
ed
in
th
e
n
ex
t su
b
-
s
ec
tio
n
s
.
2
.
2
.
Su
bk
ey
s
des
ig
n
I
t
is
n
ec
ess
ar
y
to
g
en
er
ate
m
a
n
y
p
s
eu
d
o
-
r
an
d
o
m
v
ec
to
r
s
in
o
r
d
er
f
o
r
th
e
en
cr
y
p
tio
n
an
d
d
ec
r
y
p
tio
n
p
r
o
ce
s
s
to
f
u
n
ctio
n
p
r
o
p
er
ly
.
Utilizin
g
th
ese
v
ec
to
r
s
,
an
a
lg
o
r
ith
m
is
cr
ea
ted
th
at
ca
n
h
an
d
le
an
y
k
n
o
wn
ass
au
lt.
T
h
e
f
o
llo
win
g
s
tag
es
ar
e
tak
en
in
t
h
is
co
n
s
tr
u
ctio
n
.
2
.
2
.
1
.
Co
ns
t
ruct
ing
cipherin
g
pa
ra
m
e
t
er
s
I
n
t
h
i
s
p
h
a
s
e
,
a
n
a
d
v
a
n
c
e
d
Vi
g
e
n
e
r
e
c
i
p
h
e
r
i
s
a
p
p
l
i
e
d
a
t
th
e
p
i
x
e
l
l
e
v
e
l
,
r
e
q
u
i
r
i
n
g
t
h
e
c
r
e
a
t
i
o
n
o
f
s
p
e
c
i
f
i
c
p
a
r
a
m
et
e
r
s
t
o
e
n
s
u
r
e
r
o
b
u
s
t
e
n
c
r
y
p
t
i
o
n
.
T
h
e
s
e
i
n
c
l
u
d
e
i
)
X
T
c
o
n
f
u
s
i
o
n
a
n
d
d
i
f
f
u
s
i
o
n
p
r
o
c
e
s
s
t
a
b
l
e
s
to
m
a
n
i
p
u
l
a
t
e
p
i
x
el
d
at
a
a
n
d
e
n
h
a
n
c
e
s
e
c
u
r
i
t
y
,
ii
)
B
T
b
i
n
a
r
y
t
a
b
l
e
s
f
o
r
c
o
n
t
r
o
l
li
n
g
a
n
d
g
u
id
i
n
g
t
h
e
e
n
c
r
y
p
t
i
o
n
p
r
o
c
e
s
s
,
a
n
d
i
ii
)
W
S
1
a
n
d
W
S2
s
u
b
s
t
i
t
u
t
i
o
n
t
a
b
l
es
f
o
r
e
f
f
e
c
t
iv
e
d
a
t
a
s
u
b
s
ti
t
u
t
i
o
n
a
n
d
t
r
a
n
s
f
o
r
m
a
t
i
o
n
.
T
o
g
e
t
h
e
r
,
t
h
e
s
e
c
o
m
p
o
n
e
n
t
s
w
o
r
k
i
n
c
o
n
c
e
r
t
t
o
b
o
l
s
t
e
r
t
h
e
c
i
p
h
e
r
’
s
e
f
f
ec
t
i
v
e
n
e
s
s
a
n
d
i
m
p
r
o
v
e
o
v
e
r
a
l
l
d
a
t
a
p
r
o
t
e
c
t
i
o
n
.
2
.
2
.
2
.
(
XT
)
T
a
ble c
re
a
t
io
n
T
h
e
p
u
r
p
o
s
e
o
f
th
e
tab
le
(
XT
)
o
f
s
ize
(
3
n
m
; 5
)
with
co
e
f
f
ici
en
ts
in
(
G
256
)
is
to
f
u
n
ctio
n
as
d
if
f
u
s
io
n
an
d
aliasin
g
o
n
th
e
lev
el
o
f
th
e
o
r
ig
in
al
im
a
g
e
p
i
x
els.
Alg
o
r
ith
m
1
d
escr
ib
es
h
o
w
to
b
u
ild
s
u
ch
a
tab
le.
E
v
er
y
in
d
iv
id
u
al
c
o
lu
m
n
with
in
th
e
tab
le
(
XT
)
s
ig
n
if
ies
an
in
d
e
p
en
d
en
t
p
s
eu
d
o
-
r
an
d
o
m
v
ec
t
o
r
d
i
s
tin
ct
f
r
o
m
th
e
r
em
ain
in
g
v
ec
to
r
s
.
Alg
o
r
ith
m
1
.
(
XT
)
d
esig
n
1.
=
1
3
2.
(
;
1
)
=
(
(
|
(
)
−
(
)
∗
(
)
|
∗
10
12
)
,
252
)
)
+
3
3.
(
;
2
)
=
(
(
(
(
)
+
(
)
)
∗
10
10
)
,
254
)
)
+
1
4.
(
;
3
)
=
(
(
(
(
)
;
(
)
)
∗
10
11
)
,
254
)
+
1
5.
(
;
4
)
=
(
(
(
(
)
+
2
∗
(
)
+
(
)
4
∗
10
11
)
,
253
)
+
2
6.
(
;
5
)
=
(
(
(
(
)
∗
10
6
+
(
)
∗
10
7
)
,
253
)
+
2
:
2
.
2
.
3
.
(
BT
)
B
ina
ry
t
a
bles
des
ig
n
T
h
e
tab
le
(
XT
)
,
s
ized
(
3
n
m
;
5
)
an
d
c
o
m
p
o
s
ed
o
f
c
o
ef
f
icie
n
ts
in
G2
5
6
G{2
5
6
}G2
5
6
,
is
d
esig
n
ed
to
f
ac
ilit
ate
d
if
f
u
s
io
n
an
d
aliasin
g
at
t
h
e
p
i
x
el
lev
el
o
f
t
h
e
o
r
ig
in
al
im
ag
e,
en
h
an
cin
g
th
e
en
cr
y
p
tio
n
p
r
o
ce
s
s
.
Alg
o
r
ith
m
1
o
u
tlin
es th
e
m
eth
o
d
f
o
r
co
n
s
tr
u
ctin
g
th
is
tab
le,
en
s
u
r
in
g
th
at
ea
c
h
co
lu
m
n
with
in
(
XT
)
r
e
p
r
esen
ts
a
u
n
iq
u
e
p
s
eu
d
o
-
r
an
d
o
m
v
ec
t
o
r
,
d
is
tin
ct
f
r
o
m
th
e
o
th
er
s
.
T
h
is
ap
p
r
o
ac
h
g
u
ar
an
tees
th
a
t
th
e
d
if
f
u
s
io
n
an
d
aliasin
g
ef
f
ec
ts
ar
e
ap
p
lied
e
f
f
ec
tiv
ely
,
co
n
tr
ib
u
tin
g
t
o
th
e
o
v
er
all
s
ec
u
r
ity
o
f
im
ag
e
en
c
r
y
p
tio
n
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
7
0
8
I
n
t J E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
14
,
No
.
6
,
Dec
em
b
e
r
20
24
:
6
6
7
5
-
6
6
8
8
6678
Alg
o
r
ith
m
2
.
(
B
T
)
d
esig
n
1.
=
1
3
/
/
2.
(
)
>
(
(
)
;
(
)
)
ℎ
3.
(
;
1
)
=
0
(
;
1
)
=
1
:
//
4.
(
;
1
)
≥
T
(
i
;
5
)
ℎ
5.
(
;
2
)
=
0
(
;
2
)
=
1
6.
:
2
.
2
.
4
.
Su
bs
t
it
utio
n
m
a
t
rix
co
m
pu
t
a
t
io
n
T
o
en
h
a
n
ce
th
e
d
esig
n
o
f
n
ew
B
o
x
es,
we
will
o
f
f
er
k
e
y
m
ath
em
atica
l
r
e
m
in
d
er
s
th
at
lev
er
ag
e
v
ar
io
u
s
lin
ea
r
co
n
g
r
u
en
ce
g
e
n
er
ato
r
s
.
T
h
ese
g
en
er
ato
r
s
p
lay
a
cr
u
cial
r
o
le
in
p
r
o
d
u
cin
g
p
s
eu
d
o
-
r
an
d
o
m
s
eq
u
en
ce
s
th
at
ca
n
b
e
u
tili
ze
d
f
o
r
co
n
s
tr
u
ctin
g
e
f
f
ec
tiv
e
cr
y
p
to
g
r
ap
h
ic
tab
les.
B
y
ap
p
ly
i
n
g
th
ese
r
em
in
d
e
r
s
,
th
e
d
esig
n
p
r
o
ce
s
s
will b
en
ef
it f
r
o
m
im
p
r
o
v
ed
r
a
n
d
o
m
n
ess
an
d
s
ec
u
r
ity
in
th
e
g
e
n
er
ated
b
o
x
es
.
2
.
2
.
5
.
M
a
t
hem
a
t
ics re
m
ind
er
A
li
n
ea
r
co
n
g
r
u
en
ce
g
e
n
e
r
a
to
r
is
a
r
ea
l s
eq
u
en
ce
d
e
f
i
n
e
d
b
y
t
h
r
ee
i
n
it
ial
p
a
r
a
m
et
e
r
s
an
d
g
iv
en
b
y
(
4
)
:
(
0
;
;
;
)
{
0
=
(
)
+
1
=
(
+
;
)
(
4
)
(
0
;
;
;
)
is
ca
lled
a
lin
ea
r
co
n
g
r
u
en
tial
g
en
er
ato
r
.
A
g
o
o
d
(
L
C
G)
is
a
p
er
io
d
ic
s
eq
u
en
ce
,
with
a
m
a
x
im
u
m
p
er
io
d
e
q
u
al
to
(
m
)
.
T
h
is
p
er
io
d
is
r
ea
ch
ed
u
n
d
er
th
e
co
n
d
itio
n
s
o
f
th
e
th
e
o
r
em
o
f
Hu
ll
an
d
Do
b
ell
wh
ich
o
f
f
er
s
a
n
ec
ess
ar
y
a
n
d
s
u
f
f
icie
n
t c
o
n
d
itio
n
f
o
r
a
(
L
C
G)
to
p
r
esen
t th
e
p
s
eu
d
o
-
r
an
d
o
m
attr
i
b
u
te.
a.
Hu
ll
-
Do
b
ell
th
eo
r
em
(
1
9
6
2
)
All
lin
ea
r
co
n
g
r
u
en
ce
g
en
er
at
o
r
s
(
L
C
Gs)
th
at
ad
h
er
e
to
th
e
p
r
ev
io
u
s
ly
o
u
tlin
ed
th
eo
r
em
d
em
o
n
s
tr
ate
m
ax
im
u
m
p
er
io
d
icity
,
as
estab
lis
h
ed
b
y
Alg
o
r
ith
m
3
.
T
h
is
alg
o
r
ith
m
d
etails
th
e
c
o
n
d
itio
n
s
u
n
d
er
wh
ich
L
C
Gs ac
h
iev
e
th
eir
lo
n
g
est p
o
s
s
ib
le
s
eq
u
en
ce
len
g
th
b
ef
o
r
e
r
ep
ea
tin
g
.
B
y
f
o
llo
win
g
th
ese
g
u
id
elin
es,
o
n
e
ca
n
en
s
u
r
e
th
at
th
e
L
C
Gs
u
s
ed
w
ill
p
r
o
v
id
e
o
p
tim
al
p
s
eu
d
o
-
r
a
n
d
o
m
n
ess
an
d
p
er
io
d
d
u
r
atio
n
f
o
r
cr
y
p
t
o
g
r
a
p
h
ic
ap
p
licatio
n
s
.
Alg
o
r
ith
m
3
.
Hu
ll a
n
d
D
o
b
ell
ter
m
s
1.
0
⟦
0
;
−
1
⟧
2.
∧
=
1
;
∧
=
1
3.
ℎ
,
ℎ
a.
ℎ
−
1
.
b.
4
/
ℎ
4
/
−
1
b.
Par
ticu
lar
ca
s
e
(
=
2
)
A
v
er
y
in
ter
esti
n
g
p
ar
ticu
lar
c
ase
in
th
e
f
ield
o
f
co
lo
r
im
ag
e
cr
y
p
to
g
r
ap
h
y
is
m
=
2
k
.
(
0
;
;
;
2
)
:
{
0
=
2
+
1
=
(
+
;
2
)
(
5
)
T
h
is
g
en
er
ato
r
h
as a
p
er
i
o
d
o
f
2
−
1
,
if
an
d
o
n
ly
i
f
:
(
0
;
;
;
2
)
:
{
0
=
2
=
(
2ℎ
+
1
;
2
)
=
(
4
+
1
;
2
)
(
6
)
T
h
ese
g
en
er
ato
r
s
ar
e
u
s
ed
to
c
r
ea
te
two
s
u
b
s
titu
tio
n
tab
les
(
W
S1
)
a
n
d
(
W
S2
)
,
wh
o
s
e
s
izes (
2
5
6
; 2
5
6
)
.
2
.
2
.
6
.
(
LG
1)
P
a
ra
m
et
er
t
a
ble desig
n
An
(
L
C
G)
is
r
ec
u
r
r
en
tly
d
eter
m
in
ed
b
y
th
e
s
y
s
tem
(
7
)
,
s
atis
f
y
in
g
th
e
cr
iter
ia
o
u
tlin
ed
in
th
e
Hu
ll a
n
d
Do
b
ell
th
eo
r
em
.
(
)
:
{
0
=
+
1
=
(
+
;
256
)
0
∈
⟦
0
;
255
,
⟧
≡
1
[
2
]
=
2
+
1
≡
1
[
4
]
,
=
4
+
1
(
7
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2088
-
8
7
0
8
E
n
h
a
n
ce
d
V
ig
e
n
ere
en
cryp
tio
n
tech
n
iq
u
e
fo
r
co
lo
r
ima
g
es a
ctin
g
a
t th
e
p
ixel
leve
l
(
A
b
d
elh
a
kim
C
h
emla
l
)
6679
T
h
e
th
r
ee
p
a
r
am
eter
s
(
s
0
,
a
,
b
)
o
f
(
L
C
G)
u
s
ed
in
o
u
r
alg
o
r
ith
m
f
o
r
t
h
e
d
e
v
elo
p
m
e
n
t
o
f
two
s
u
b
s
titu
tio
n
tab
les
(
SW
1
)
an
d
(
SW
2
)
will
b
e
r
eta
in
ed
in
th
e
ar
r
ay
(
L
G
1
)
o
f
s
ize
(
3
;
3
n
m
)
,
b
y
t
h
e
s
u
b
s
eq
u
en
t
s
tep
s
:
i)
th
e
in
itial
v
alu
e
o
f
th
e
g
en
e
r
ato
r
in
(
G
256
)
,
d
en
o
ted
as
(
s
0
)
,
will
b
e
p
r
esen
t
in
th
e
f
ir
s
t
lin
e
as
a
p
s
eu
d
o
-
r
a
n
d
o
m
s
ee
d
;
ii)
th
e
s
ec
o
n
d
lin
e
will
s
to
r
e
th
e
m
u
ltip
lier
p
ar
am
eter
v
alu
es
(
=
4
+
1
)
;
an
d
iii)
th
e
th
ir
d
o
n
e
will
s
to
r
e
th
e
b
ias p
ar
am
eter
v
alu
es (
=
2
+
1
)
.
Fig
u
r
e
1
d
ep
ict
a
n
ex
am
p
le
to
clar
if
y
th
e
d
is
tr
ib
u
tio
n
o
f
t
h
e
(
L
C
G)
.
Fig
u
r
e
1
.
E
x
am
p
le
o
f
th
e
(
L
C
G)
d
is
tr
ib
u
tio
n
T
h
ese
g
en
er
at
o
r
s
,
wh
ich
s
atis
f
y
th
e
Hu
ll
an
d
Do
b
ell
t
h
eo
r
em
,
p
r
o
d
u
ce
n
o
n
-
lin
ea
r
p
er
m
u
tatio
n
s
o
f
s
ize
2
5
6
,
s
to
r
ed
in
two
tab
les
(
W
S1
)
an
d
(
W
S2
)
ea
ch
o
f
s
ize
(
2
5
6
×
2
5
6
)
,
an
d
u
s
ed
as
S
-
b
o
x
es.
First,
we
will
p
lace
th
e
p
ar
am
eter
s
o
f
ea
ch
(
L
C
G)
in
a
tab
le
(
L
G1
)
o
f
s
ize
(
3
×
2
5
6
)
.
−
T
h
e
f
ir
s
t r
o
w
co
n
tain
s
th
e
v
alu
es o
f
th
e
p
ar
a
m
eter
s
(
s
)
wh
ich
co
n
s
titu
te
th
e
s
ee
d
o
f
th
e
g
en
e
r
ato
r
.
−
T
h
e
s
ec
o
n
d
r
o
w
co
n
tain
s
th
e
v
alu
es o
f
th
e
m
u
ltip
lier
(
a)
.
−
T
h
e
th
ir
d
r
o
w
s
to
r
es th
e
v
al
u
e
s
o
f
th
e
p
ar
a
m
eter
(
b
)
.
−
T
h
e
tab
le
(
L
G1
)
u
tili
ze
d
f
o
r
th
e
d
ev
elo
p
m
en
t o
f
th
e
S
-
b
o
x
is
g
iv
en
b
y
th
e
Alg
o
r
ith
m
4.
Alg
o
r
ith
m
4
.
(
L
G1
)
T
ab
le
d
es
ig
n
1.
=
1
3
2.
(
;
2
)
=
0
ℎ
3.
1
(
1
,
)
=
(
;
3
)
4.
1
(
2
,
)
=
(
1
+
4
∗
(
;
2
)
,
256
)
5.
1
(
3
,
)
=
(
1
+
2
∗
(
;
3
)
,
256
)
6.
7.
1
(
1
,
)
=
(
;
2
)
8.
1
(
2
,
)
=
(
1
+
4
∗
(
;
1
)
,
256
)
9.
1
(
3
,
)
=
(
1
+
2
∗
(
;
4
)
,
256
)
10.
Next j
T
h
e
g
u
id
e
d
s
tr
u
ctu
r
e
b
y
p
s
e
u
d
o
r
a
n
d
o
m
v
ec
to
r
s
,
ex
h
ib
its
h
ig
h
s
en
s
itiv
ity
to
alter
atio
n
s
in
an
y
co
n
s
titu
en
t
o
f
a
p
r
i
v
ate
k
ey
;
th
is
r
ein
f
o
r
ce
s
th
e
r
o
b
u
s
tn
ess
o
f
a
s
y
s
tem
.
T
o
g
iv
e
th
e
p
s
eu
d
o
-
r
an
d
o
m
asp
ec
t
to
th
e
S
-
B
o
x
es
co
n
s
tr
u
ctio
n
;
we
ar
e
g
o
in
g
to
u
s
e
th
e
tab
les
(
T
C
1
)
o
f
s
ize
(
2
5
6
;4
)
.
T
h
e
S
-
B
o
x
(
W
S1
)
is
en
tire
ly
g
o
v
er
n
ed
b
y
(
G
256
)
r
ea
r
r
an
g
e
m
en
ts
o
f
th
e
tab
le
(
T
C
1
)
o
f
s
ize
(
2
5
6
,
4
)
.
A
n
ex
am
p
le
is
g
iv
e
n
in
Fig
u
r
e
2
.
Fig
u
r
e
2
.
E
x
am
p
le
o
f
(
L
G1
)
in
G1
6
a.
(
TC
1
)
T
ab
le
cr
ea
tio
n
T
h
e
tab
le
(
T
C
1
)
o
f
s
ize
(
4
×2
5
6
)
,
is
co
n
s
tr
u
cted
f
o
r
t
h
e
s
elec
tio
n
o
f
g
e
n
er
ato
r
s
f
o
r
th
e
d
ev
elo
p
m
en
t
o
f
th
e
two
S
-
B
o
x
es (
SW
1
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
7
0
8
I
n
t J E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
14
,
No
.
6
,
Dec
em
b
e
r
20
24
:
6
6
7
5
-
6
6
8
8
6680
−
T
h
e
f
ir
s
t
r
o
w
o
f
tab
le
(
TC
1
)
is
th
e
p
er
m
u
tatio
n
(
P1
)
o
b
tain
e
d
b
y
a
d
escen
d
in
g
s
o
r
t
o
f
th
e
f
ir
s
t
2
5
6
v
alu
es
o
f
th
e
v
ec
t
o
r
(
XT
(
:4
)
)
,
u
s
ed
t
o
s
elec
t th
e
r
o
w
wh
er
e
t
h
e
ch
o
s
en
g
en
er
ato
r
will b
e
p
lace
d
.
−
T
h
e
s
ec
o
n
d
lin
e
o
f
th
e
ta
b
le
(
TC
1
)
is
th
e
p
er
m
u
tatio
n
(
P2
)
o
b
tain
ed
b
y
a
n
ascen
d
in
g
s
o
r
t
in
g
o
f
th
e
f
ir
s
t
2
5
6
v
al
u
es o
f
th
e
v
ec
to
r
(
XT
(
:2
)
)
,
u
s
ed
t
o
s
elec
t th
e
in
d
ex
o
f
th
e
v
alu
e
o
f
th
e
(
)
.
−
T
h
e
th
ir
d
lin
e
o
f
th
e
tab
le
(
1
)
is
th
e
p
er
m
u
tatio
n
(
P3
)
o
b
tain
ed
b
y
an
ascen
d
i
n
g
s
o
r
tin
g
o
f
th
e
f
ir
s
t
2
5
6
v
alu
es o
f
th
e
v
ec
to
r
(
XT
(
:2
)
)
,
u
s
ed
to
s
elec
t th
e
in
d
e
x
o
f
t
h
e
v
alu
e
o
f
th
e
m
u
ltip
lier
(
)
.
−
T
h
e
f
o
u
r
th
lin
e
o
f
th
e
tab
le
(
TC
1
)
is
th
e
p
er
m
u
tatio
n
(
P4
)
o
b
tain
ed
b
y
a
n
in
cr
ea
s
in
g
s
o
r
tin
g
o
f
th
e
f
ir
s
t
2
5
6
v
al
u
es o
f
th
e
v
ec
to
r
(
XT
(
:3
)
)
,
u
s
ed
t
o
s
elec
t th
e
in
d
ex
o
f
th
e
v
alu
e
o
f
th
e
p
ar
am
eter
(
)
.
An
ex
am
p
le
o
f
(
T
C
1
)
ta
b
le
in
G1
6
is
d
ep
icted
in
Fig
u
r
e
3
.
Fig
u
r
e
3
.
E
x
am
p
le
o
f
(
T
C
1
)
ta
b
le
in
G1
6
b.
(
WS
1
)
T
ab
le
co
m
p
u
tatio
n
T
h
e
co
n
s
tr
u
ctio
n
o
f
th
e
s
u
b
s
titu
tio
n
m
atr
ix
(
W
S1
)
is
g
u
id
e
d
b
y
tab
les
(
T
C
1
)
an
d
(
L
G1
)
,
with
th
e
p
r
o
ce
s
s
m
eticu
lo
u
s
ly
d
etailed
in
Alg
o
r
ith
m
5
.
T
h
ese
tab
les
p
r
o
v
id
e
t
h
e
n
ec
ess
ar
y
p
ar
am
ete
r
s
an
d
co
n
tr
o
ls
f
o
r
g
en
er
atin
g
W
S1
,
en
s
u
r
i
n
g
its
ef
f
ec
tiv
en
ess
in
c
r
y
p
t
o
g
r
ap
h
ic
ap
p
licatio
n
s
.
B
y
f
o
llo
win
g
th
e
s
tep
s
o
u
tlin
ed
in
Alg
o
r
ith
m
5
,
o
n
e
ca
n
ac
cu
r
a
tely
co
n
s
tr
u
ct
W
S1
to
en
h
a
n
ce
th
e
o
v
er
all
s
ec
u
r
ity
a
n
d
f
u
n
ctio
n
ality
o
f
th
e
en
cr
y
p
tio
n
s
ch
em
e.
An
ex
am
p
le
ab
o
u
t h
o
w
to
co
m
p
u
te
th
e
(
W
S1
)
tab
le
is
d
ep
icted
in
Fig
u
r
e
4
.
Alg
o
r
ith
m
5
.
(
W
S1
)
S
-
B
o
x
es c
o
m
p
u
tatio
n
1.
=
1
256
2.
=
1
(
1
(
,
2
)
;
3.
=
1
(
1
(
,
1
)
;
4.
=
1
(
1
(
,
3
)
5.
=
1
256
6.
=
(
∗
+
;
256
)
;
7.
1
(
1
(
,
4
)
,
)
=
;
8.
=
:
,
Fig
u
r
e
4
.
E
x
am
p
le
o
f
(
W
S1
)
c
o
m
p
u
tatio
n
c.
(
TC
2
)
Desig
n
T
h
e
tab
le
(
T
C
2
)
o
f
s
ize
(
4
×2
5
6
)
,
is
co
n
s
tr
u
cted
f
o
r
t
h
e
s
elec
tio
n
o
f
g
e
n
er
ato
r
s
f
o
r
th
e
d
ev
elo
p
m
en
t
o
f
th
e
two
S
-
B
o
x
es (
SW
2
)
.
−
T
h
e
f
ir
s
t
r
o
w
o
f
tab
le
(
TC
2
)
i
s
th
e
p
er
m
u
tatio
n
(
Q1
)
o
b
tain
ed
b
y
a
d
escen
d
in
g
s
o
r
t
o
f
t
h
e
f
ir
s
t
2
5
6
v
al
u
es
o
f
th
e
v
ec
t
o
r
(
XT
(
:3
)
)
,
u
s
ed
t
o
s
elec
t th
e
r
o
w
wh
er
e
t
h
e
ch
o
s
en
g
en
er
ato
r
will b
e
p
lace
d
.
−
T
h
e
s
ec
o
n
d
lin
e
o
f
th
e
ta
b
le
(
TC
2
)
is
th
e
p
er
m
u
tatio
n
(
Q2
)
o
b
tain
ed
b
y
an
ascen
d
in
g
s
o
r
tin
g
o
f
th
e
f
ir
s
t
2
5
6
v
al
u
es o
f
th
e
v
ec
to
r
(
XT
(
:1
)
)
,
u
s
ed
t
o
s
elec
t th
e
in
d
ex
o
f
th
e
v
alu
e
o
f
th
e
(
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2088
-
8
7
0
8
E
n
h
a
n
ce
d
V
ig
e
n
ere
en
cryp
tio
n
tech
n
iq
u
e
fo
r
co
lo
r
ima
g
es a
ctin
g
a
t th
e
p
ixel
leve
l
(
A
b
d
elh
a
kim
C
h
emla
l
)
6681
−
T
h
e
th
ir
d
lin
e
o
f
t
h
e
tab
le
(
TC
2
)
is
th
e
p
er
m
u
tatio
n
(
Q3
)
o
b
t
ain
ed
b
y
an
ascen
d
i
n
g
s
o
r
tin
g
o
f
th
e
f
i
r
s
t
2
5
6
v
alu
es o
f
th
e
v
ec
to
r
(
XT
(
:4
)
)
,
u
s
ed
to
s
elec
t th
e
in
d
e
x
o
f
t
h
e
v
alu
e
o
f
th
e
m
u
ltip
lier
(
)
.
−
T
h
e
f
o
u
r
th
lin
e
o
f
th
e
tab
le
(
TC
2
)
is
th
e
p
er
m
u
tatio
n
(
Q4
)
o
b
tain
ed
b
y
an
i
n
cr
ea
s
in
g
s
o
r
tin
g
o
f
t
h
e
f
ir
s
t
2
5
6
v
al
u
es o
f
th
e
v
ec
to
r
(
XT
(
:5
)
)
,
u
s
ed
t
o
s
elec
t th
e
in
d
ex
o
f
th
e
v
alu
e
o
f
th
e
p
ar
am
eter
(
)
.
Alg
o
r
ith
m
6
.
(
T
C
2
)
C
o
m
p
u
tatio
n
1.
=
1
256
2.
2
(
,
1
)
=
1
(
)
3.
2
(
,
2
)
=
2
(
)
4.
2
(
,
3
)
=
3
(
)
5.
2
(
,
4
)
=
4
(
)
6.
d.
(
WS
2
)
C
o
m
p
u
tatio
n
Un
d
er
th
e
co
n
tr
o
l
o
f
ta
b
les
(
T
C
2
)
an
d
(
L
G1
)
t
h
e
co
n
s
tr
u
c
tio
n
o
f
th
e
s
u
b
s
titu
tio
n
m
atr
i
x
(
W
S2
)
is
g
iv
en
b
y
Alg
o
r
ith
m
7
.
T
h
e
c
o
n
s
tr
u
ctio
n
o
f
th
e
tab
le
(
W
S2
)
is
s
im
ilar
to
th
at
o
f
(
W
S1
)
b
y
co
n
s
id
er
in
g
th
e
tab
les (
T
C
)
an
d
(
L
G1
)
.
Alg
o
r
ith
m
7
.
(
W
S2
)
S
-
B
o
x
d
e
s
ig
n
1.
=
1
256
2.
ℎ
=
1
(
2
(
,
1
)
)
;
3.
=
1
(
2
(
,
2
)
)
;
4.
=
1
(
1
(
,
3
)
)
5.
=
1
256
6.
=
(
∗
ℎ
+
;
256
)
7.
2
(
2
(
,
4
)
,
)
=
+
1
8.
ℎ
=
;
:
,
e.
Pix
el
tr
an
s
cr
ip
tio
n
b
ased
o
n
S
-
b
o
x
es
T
h
e
two
s
u
b
s
titu
tio
n
tab
les
w
ill
b
e
em
p
lo
y
ed
to
g
eth
e
r
to
tr
an
s
f
o
r
m
t
h
e
p
ix
el
v
alu
es
o
f
t
h
e
o
r
i
g
in
al
im
ag
e
u
s
in
g
th
e
(
VG)
f
u
n
cti
o
n
.
T
h
is
tr
an
s
f
o
r
m
atio
n
p
r
o
c
ess
,
wh
ich
co
n
v
er
ts
th
e
i
th
p
ix
el
(
)
(
)
in
to
(
)
(
)
,
is
p
r
ec
is
ely
d
ef
in
e
d
b
y
Alg
o
r
ith
m
8
.
B
y
ap
p
ly
in
g
Alg
o
r
ith
m
8
,
th
e
(
VG)
f
u
n
ctio
n
en
s
u
r
e
s
th
at
ea
ch
p
ix
el'
s
v
alu
e
is
ac
cu
r
ately
an
d
s
ec
u
r
ely
alter
ed
,
lev
e
r
ag
in
g
th
e
co
m
b
in
e
d
ef
f
ec
ts
o
f
th
e
s
u
b
s
titu
tio
n
tab
les.
Alg
o
r
ith
m
8
.
(
)
p
ix
el
en
cr
y
p
tio
n
(
(
)
)
=
(
)
(
;
2
)
=
0
ℎ
:
(
)
=
1
(
(
;
2
)
,
2
(
(
;
3
)
,
(
)
⊕
(
;
4
)
)
)
⊕
(
;
1
)
:
(
)
=
2
(
(
;
3
)
,
1
(
(
;
1
)
,
(
)
⊕
(
;
5
)
)
⊕
(
;
2
)
:
T
h
is
s
tag
e
o
f
th
e
en
cr
y
p
tio
n
p
r
o
ce
s
s
u
s
es
two
n
ested
S
-
B
o
x
es
an
d
th
e
d
ec
is
io
n
v
ec
to
r
(
)
to
in
cr
ea
s
e
th
e
co
m
p
le
x
ity
o
f
th
e
s
u
b
s
titu
tio
n
an
d
co
n
f
u
s
io
n
f
u
n
ctio
n
s
.
A
u
n
i
q
u
e
cip
h
er
in
g
an
d
d
is
tr
ib
u
tio
n
ex
p
r
ess
io
n
will
ar
is
e
f
r
o
m
ev
en
a
litt
le
m
o
d
if
icatio
n
to
a
p
r
iv
ate
k
ey
p
ar
am
ete
r
,
p
r
o
d
u
ci
n
g
a
u
n
iq
u
e
cip
h
e
r
p
ictu
r
e.
W
h
ile
(
)
r
etu
r
n
s
th
e
tr
an
s
f
o
r
m
atio
n
o
f
th
e
p
ix
el
(
)
.
2
.
3
.
P
re
pa
r
a
t
io
n o
f
t
he
ima
g
e
f
o
r
ciphering
Prio
r
to
en
cr
y
p
tio
n
,
it
is
n
ec
ess
ar
y
to
p
r
ep
ar
e
an
y
in
itial
im
ag
e
u
s
in
g
th
e
f
o
llo
win
g
s
t
ep
s
as
th
e
f
o
u
n
d
atio
n
f
o
r
th
is
tech
n
iq
u
e.
T
h
e
s
tep
s
ar
e
p
lain
im
ag
e
v
ec
to
r
izatio
n
an
d
in
itializatio
n
co
n
s
tan
t
d
esig
n
.
T
h
e
f
o
llo
win
g
ar
e
th
e
d
etails o
f
ea
ch
s
tep
.
2
.
3
.
1
.
P
la
in im
a
g
e
v
ec
t
o
riza
t
i
o
n
Af
ter
ex
tr
ac
tio
n
o
f
th
e
th
r
ee
r
ed
,
g
r
ee
n
,
an
d
(
R
GB
)
co
lo
r
ch
an
n
els
an
d
th
eir
tr
an
s
f
o
r
m
atio
n
in
to
s
ize
v
ec
to
r
s
(
)
,
(
)
,
(
)
,
ea
ch
o
f
d
im
e
n
s
io
n
(
1
,
n
m
)
,
a
co
n
ca
ten
atio
n
is
p
er
f
o
r
m
ed
,
lead
in
g
to
co
n
f
u
s
io
n
with
th
e
v
ec
to
r
(
V3
)
.
T
h
is
p
r
o
ce
s
s
g
en
er
ates th
en
v
ec
to
r
X
(
x
1
,
x
2
,
.
.
.
.
.
.
.
.
,
x
3
n
m
)
,
as o
u
tlin
ed
in
Alg
o
r
ith
m
9.
Alg
o
r
ith
m
9
.
T
r
an
s
itio
n
in
g
to
v
ec
to
r
(
X)
a.
=
2
b.
(
;
1
)
=
0
ℎ
c.
(
3
−
2
)
=
(
)
⊕
(
(
3
−
2
)
;
4
)
d.
(
3
−
1
)
=
(
)
⊕
(
(
3
−
1
)
;
3
)
e.
(
3
)
=
(
)
⊕
(
(
3
)
;
1
)
f.
g.
(
3
−
2
)
=
(
)
⊕
(
(
3
−
2
)
;
1
)
h.
(
3
−
1
)
=
(
)
⊕
(
(
3
−
1
)
;
4
)
i.
(
3
)
=
(
)
⊕
(
(
3
)
;
3
)
j.
:
T
h
e
d
ec
is
io
n
v
ec
to
r
(
C
R
)
g
o
v
er
n
s
th
is
tr
a
n
s
itio
n
to
v
ec
to
r
n
o
tatio
n
.
W
h
ile
t
h
e
h
ig
h
c
o
r
r
elatio
n
b
etwe
en
p
ix
els is
s
o
m
ewh
at
less
en
ed
in
th
is
s
tag
e,
th
e
en
cr
y
p
tio
n
is
s
till
s
tr
o
n
g
en
o
u
g
h
t
o
with
s
tan
d
s
tatis
tica
l
an
d
b
r
u
te
f
o
r
ce
attac
k
s
as
d
ep
i
cted
in
T
ab
le
1
.
T
h
is
is
d
em
o
n
s
tr
ated
b
y
th
e
f
i
g
u
r
e
th
at
f
o
ll
o
ws.
T
o
d
ef
en
d
o
u
r
s
y
s
tem
f
r
o
m
d
if
f
er
e
n
tial
ass
a
u
lts
,
we
will
em
p
lo
y
th
e
en
cr
y
p
tio
n
f
u
n
ctio
n
s
,
th
e
b
r
o
ad
ca
s
t
f
u
n
ctio
n
s
,
an
d
th
e
two
S
-
B
o
x
es.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
7
0
8
I
n
t J E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
14
,
No
.
6
,
Dec
em
b
e
r
20
24
:
6
6
7
5
-
6
6
8
8
6682
T
ab
le
1
.
First s
tag
e
o
f
im
ag
e
c
ip
h
er
in
g
p
r
o
ce
s
s
I
mag
e
H
i
st
o
g
r
a
ms
En
t
r
o
p
y
P
l
a
i
n
C
i
p
h
e
r
P
l
a
i
n
C
i
p
h
e
r
4
.
5
6
8
7
7
.
9
9
9
6
2
.
3
.
2
.
I
nitia
liza
t
io
n c
o
ns
t
a
nt
des
ig
n
Usi
n
g
Alg
o
r
ith
m
1
0
,
a
co
n
s
ta
n
t
(
I
V)
is
co
m
p
u
ted
f
r
o
m
th
e
p
lain
im
ag
e
in
o
r
d
e
r
to
ch
an
g
e
th
e
v
alu
e
o
f
th
e
s
ee
d
p
i
x
el
an
d
s
tar
t th
e
cip
h
er
in
g
p
r
o
ce
s
s
.
I
t is n
o
tewo
r
th
y
to
n
o
te
th
at
th
e
ca
lc
u
lated
co
n
s
tan
t is clo
s
ely
r
elate
d
to
th
e
v
ec
to
r
(
B
T
(
:2
)
)
an
d
th
e
u
n
p
r
o
ce
s
s
ed
im
ag
e.
A
n
y
s
m
all
ch
an
g
e
to
th
e
p
lain
i
m
ag
e
o
r
an
y
o
f
th
e
p
r
iv
ate
k
e
y
’
s
p
a
r
am
eter
s
will
p
r
o
d
u
ce
a
u
n
iq
u
e
c
o
n
s
tan
t
an
d
,
in
t
u
r
n
,
a
n
ew
cip
h
er
p
ictu
r
e.
T
h
is
d
em
o
n
s
tr
ates
h
o
w
s
en
s
itiv
ely
an
d
e
n
tire
ly
d
ep
en
d
en
t t
h
e
en
cr
y
p
tio
n
p
r
o
ce
d
u
r
e
is
o
n
t
h
e
in
p
u
t v
ar
iab
les.
Alg
o
r
ith
m
1
0
.
First in
itializati
o
n
v
alu
e
ca
lcu
latio
n
1.
=
0
2.
=
2
3
3.
(
;
2
)
=
0
ℎ
4.
=
(
)
⨁
⨁
XT
(
i
;
3
)
5.
:
=
(
)
⨁
⨁
XT
(
i
;
5
)
6.
2
.
4
.
E
ncry
ptio
n sy
s
t
em
pro
c
ess
T
h
e
co
m
p
u
ted
co
n
s
tan
t
s
er
v
es
s
o
lely
to
alter
th
e
s
ee
d
p
ix
el’
s
v
alu
e
a
n
d
in
itiate
th
e
cip
h
er
in
g
p
r
o
ce
s
s
.
Fig
u
r
e
5
d
ep
icts
th
e
i
m
p
r
o
v
e
d
en
c
r
y
p
tio
n
p
r
o
ce
d
u
r
e
in
v
o
lv
in
g
S
-
b
o
x
es
an
d
P
-
b
o
x
es.
I
n
(
8
)
p
r
o
v
id
es
th
e
ad
v
an
ce
d
b
r
o
ad
ca
s
tin
g
f
u
n
ctio
n
(
(
)
)
f
o
r
t
h
is
en
cr
y
p
tio
n
s
tag
e,
wh
ic
h
is
b
ased
o
n
n
ested
S
-
B
o
x
es
(
W
S1
)
an
d
(
W
S2
)
.
(
(
)
)
=
1
(
XT
(
i
;
1
)
,
2
(
XT
(
i
;
2
)
;
(
)
⨁
(
+
1
)
)
)
(
8
)
Fig
u
r
e
5
.
First s
tag
e
o
f
im
a
g
e
cip
h
er
in
g
p
r
o
ce
s
s
T
h
is
o
p
er
atio
n
ca
n
b
e
g
iv
en
b
y
Alg
o
r
ith
m
1
1
.
T
h
e
o
b
tain
ed
v
ec
to
r
(
Y)
th
at
s
ig
n
if
ies
th
e
en
cr
y
p
ted
im
ag
e
is
a
s
et
o
f
co
o
r
d
in
ate
s
co
r
r
esp
o
n
d
in
g
to
n
u
cle
o
tid
es.
T
h
e
f
ir
s
t
-
r
o
u
n
d
e
n
cr
y
p
tio
n
tim
e
is
g
iv
en
i
n
T
ab
le
1
.
T
h
is
o
p
er
atio
n
ca
n
b
e
g
iv
en
b
y
Alg
o
r
ith
m
1
2
.
T
h
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r
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ltin
g
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to
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(
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e
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cr
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te
d
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ag
e
is
a
s
et
o
f
n
u
cleo
tid
e
co
o
r
d
in
ates.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2088
-
8
7
0
8
E
n
h
a
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ce
d
V
ig
e
n
ere
en
cryp
tio
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6683
Alg
o
r
ith
m
1
1
.
First s
tag
e
o
f
i
m
ag
e
cip
h
er
i
n
g
alg
o
r
ith
m
1.
(
1
)
=
(
(
1
;
1
)
⊕
(
1
)
)
⊕
(
)
=
2
3
//
Next Pixel Encryption
2.
(
(
)
)
=
(
(
;
1
)
⊕
(
−
1
)
)
⨁
(
)
3.
(
;
2
)
=
0
ℎ
4.
(
)
=
(
(
(
)
)
)
⊕
(
;
3
)
5.
6.
(
)
=
(
(
(
)
)
)
⊕
(
;
2
)
:
Alg
o
r
ith
m
1
2
.
First s
tag
e
o
f
i
m
ag
e
cip
h
er
i
n
g
alg
o
r
ith
m
1.
(
1
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(
(
1
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(
1
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⊕
(
)
2.
=
2
3
// Next Pixel Encryption
3.
(
(
)
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=
(
(
;
1
)
⊕
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−
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)
⨁
(
)
4.
(
;
2
)
=
0
ℎ
5.
(
)
=
(
(
(
)
)
)
⊕
(
;
3
)
6.
7.
(
)
=
(
(
(
)
)
)
⊕
(
;
2
)
: n
2
.
5
.
Dec
ry
pti
o
n pro
ce
du
re
I
n
o
u
r
m
eth
o
d
,
we
u
s
e
a
b
r
o
ad
ca
s
t
im
p
lem
en
tatio
n
as
p
ar
t
o
f
a
s
y
m
m
etr
ic
en
cr
y
p
tio
n
s
y
s
tem
.
C
o
n
s
eq
u
en
tly
,
as
p
ar
t
o
f
th
e
d
ec
r
y
p
tio
n
p
r
o
ce
s
s
,
d
ec
r
y
p
tio
n
f
u
n
ctio
n
s
ar
e
u
s
ed
,
s
tar
tin
g
with
th
e
last
b
lo
ck
.
E
v
er
y
o
p
er
atio
n
u
s
ed
in
o
u
r
m
eth
o
d
is
r
ev
er
s
ib
le,
wh
ich
e
n
s
u
r
es
th
at
a
d
ec
r
y
p
tio
n
f
u
n
ctio
n
is
av
ailab
le.
T
h
e
v
ar
io
u
s
s
tag
es
in
th
e
d
ec
r
y
p
tio
n
p
r
o
ce
d
u
r
e
ar
e
d
escr
ib
ed
:
i
)
v
ec
to
r
izatio
n
o
f
th
e
en
c
r
y
p
t
ed
im
ag
e;
ii)
in
itial
r
o
u
n
d
o
f
d
ec
r
y
p
tio
n
f
o
r
th
e
r
ec
ip
r
o
ca
l
g
en
er
atio
n
o
f
t
h
e
Vig
en
er
e
m
at
r
ix
;
a
n
d
iii)
r
ec
ip
r
o
ca
l
o
f
Vig
en
er
e
m
atr
ix
co
n
s
tr
u
ctio
n
.
2
.
5
.
1
.
Vig
ener
e
m
a
t
rix
re
cip
ro
ca
l
T
h
e
in
v
er
s
e
Vig
e
n
er
e
tr
a
n
s
f
o
r
m
atio
n
n
ee
d
s
to
b
e
ap
p
lied
u
s
in
g
Alg
o
r
ith
m
1
3
.
W
e
ca
n
d
er
iv
e
th
e
s
u
b
s
titu
tio
n
tr
ad
itio
n
al
f
u
n
ct
io
n
r
ec
ip
r
o
ca
l
s
h
o
wn
in
(
9
)
,
b
y
ap
p
ly
in
g
th
e
s
am
e
lo
g
ic
as
Vig
en
er
e
’
s
co
n
v
en
tio
n
al
tech
n
iq
u
e.
=
(
,
)
ℎ
=
(
,
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(
9
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Alg
o
r
ith
m
1
3
.
Vig
en
e
r
e
r
ec
ip
r
o
ca
l
=
1
256
=
1
256
(
,
(
,
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)
=
;
(
(
,
(
,
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=
;
,
2
.
5
.
2
.
Vig
ener
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s
re
v
er
s
e
f
o
r
m
ula
Alg
o
r
ith
m
1
4
o
u
tlin
es
th
e
Vig
en
er
e
tr
an
s
f
o
r
m
atio
n
,
a
m
eth
o
d
u
s
ed
t
o
en
co
d
e
p
la
in
tex
t
in
to
cip
h
er
tex
t
u
s
in
g
a
d
esig
n
ate
d
k
ey
.
C
o
n
v
er
s
ely
,
it
p
r
o
v
i
d
es
th
e
m
ea
n
s
to
r
ev
er
s
e
t
h
is
tr
an
s
f
o
r
m
atio
n
,
d
ec
r
y
p
tin
g
cip
h
er
tex
t
b
ac
k
in
to
its
o
r
ig
in
al
p
lain
tex
t
f
o
r
m
.
T
h
is
in
v
er
s
e
p
r
o
ce
s
s
is
i
n
teg
r
al
f
o
r
s
ec
u
r
ely
r
ec
o
v
er
in
g
p
lain
tex
t
f
r
o
m
e
n
cr
y
p
ted
d
ata,
en
s
u
r
i
n
g
co
n
f
id
en
tiality
an
d
d
ata
in
teg
r
ity
in
cr
y
p
to
g
r
a
p
h
ic
ap
p
licatio
n
s
.
T
h
is
alg
o
r
ith
m
is
f
u
n
d
am
e
n
tal
in
co
m
p
r
eh
en
d
in
g
th
e
b
id
ir
ec
tio
n
al
n
at
u
r
e
o
f
t
h
e
Vig
en
er
e
cip
h
er
,
f
ac
ilit
atin
g
b
o
th
e
n
cr
y
p
tio
n
an
d
d
ec
r
y
p
tio
n
o
p
er
atio
n
s
ef
f
ec
tiv
ely
.
Alg
o
r
ith
m
1
4
.
Vig
en
e
r
e
r
ec
ip
r
o
ca
l
(
(
)
)
=
(
)
(
;
2
)
=
0
ℎ
:
(
)
=
2
(
(
;
3
)
,
1
(
(
;
2
)
,
(
)
⊕
(
;
1
)
)
)
⊕
(
;
4
)
:
:
(
)
=
1
(
(
;
1
)
,
2
(
(
;
3
)
,
(
)
⊕
(
;
2
)
)
)
⊕
(
;
5
)
:
2
.
5
.
3
.
Rev
er
s
e
diff
us
io
n
T
h
e
eq
u
atio
n
(
1
0
)
s
p
ec
if
ies
t
h
e
in
v
er
s
e
o
f
th
e
d
if
f
u
s
io
n
f
u
n
ctio
n
u
s
ed
in
o
u
r
s
ch
em
e,
wh
i
ch
p
lay
s
a
ce
n
tr
al
r
o
le
in
s
p
r
ea
d
in
g
th
e
i
n
p
u
t
d
ata
t
o
en
h
a
n
ce
s
ec
u
r
ity
.
T
h
is
f
u
n
ctio
n
en
s
u
r
es
th
at
ch
an
g
es
in
an
y
p
ar
t
o
f
th
e
in
p
u
t
a
r
e
p
r
o
p
a
g
ated
th
r
o
u
g
h
o
u
t
t
h
e
o
u
t
p
u
t,
wh
ic
h
is
cr
u
cial
f
o
r
m
ain
tain
in
g
r
o
b
u
s
tn
ess
ag
ain
s
t
cr
y
p
to
g
r
ap
h
ic
attac
k
s
.
Un
d
er
s
tan
d
in
g
an
d
im
p
lem
en
tin
g
(
1
0
)
is
ess
en
tial
f
o
r
ef
f
icien
tl
y
r
ec
o
n
s
tr
u
ctin
g
th
e
o
r
ig
in
al
d
ata
f
r
o
m
its
d
if
f
u
s
e
d
f
o
r
m
,
th
er
e
b
y
co
m
p
letin
g
th
e
en
cr
y
p
tio
n
-
d
ec
r
y
p
tio
n
cy
cle
with
ac
cu
r
ac
y
.
I
n
teg
r
atin
g
th
e
in
v
er
s
e
o
f
t
h
e
d
if
f
u
s
io
n
f
u
n
ctio
n
is
ess
en
tial
f
o
r
ac
h
iev
in
g
r
eliab
le
d
ata
r
ec
o
v
er
y
an
d
m
ain
tain
in
g
th
e
i
n
teg
r
ity
o
f
s
e
n
s
itiv
e
in
f
o
r
m
atio
n
in
o
u
r
cr
y
p
to
g
r
ap
h
ic
f
r
am
ewo
r
k
.
−
1
(
′
(
)
)
=
(
(
)
,
(
(
)
,
′
(
)
)
⨁
(
−
1
)
(
1
0
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
7
0
8
I
n
t J E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
14
,
No
.
6
,
Dec
em
b
e
r
20
24
:
6
6
7
5
-
6
6
8
8
6684
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
I
n
th
is
s
ec
tio
n
,
a
s
ig
n
if
ican
t
n
u
m
b
er
o
f
r
an
d
o
m
ly
s
elec
ted
i
m
ag
es
f
r
o
m
a
lar
g
e
d
atab
ase
will
b
e
th
e
s
u
b
ject
o
f
an
ev
alu
atio
n
o
f
o
u
r
in
n
o
v
ativ
e
al
g
o
r
ith
m
.
W
e
will
co
m
p
ar
e
th
e
p
er
f
o
r
m
a
n
ce
r
e
s
u
lts
o
b
tain
ed
with
th
o
s
e
o
f
alter
n
ativ
e
alg
o
r
ith
m
s
to
h
ig
h
lig
h
t
th
e
e
f
f
ec
tiv
en
ess
an
d
s
u
p
er
io
r
ity
o
f
o
u
r
ap
p
r
o
ac
h
.
T
h
is
ev
alu
atio
n
aim
s
to
d
em
o
n
s
tr
ate
th
e
e
f
f
e
ctiv
en
ess
o
f
th
e
alg
o
r
ith
m
in
h
an
d
lin
g
d
iv
er
s
e
im
a
g
e
d
at
a
an
d
to
s
h
o
w
its
co
m
p
etitiv
e
ad
v
a
n
tag
e
o
v
er
e
x
is
tin
g
m
eth
o
d
s
.
3
.
1
.
K
ey
-
s
pa
ce
a
na
ly
s
is
I
n
cr
y
p
tan
aly
s
is
,
a
b
r
u
te
f
o
r
ce
attac
k
in
v
o
l
v
es
s
y
s
tem
atica
ll
y
test
in
g
ev
er
y
p
o
s
s
ib
le
co
m
b
in
atio
n
in
o
r
d
er
to
u
n
co
v
er
th
e
en
cr
y
p
tio
n
k
ey
.
T
h
e
f
ea
s
ib
ilit
y
o
f
s
u
ch
attac
k
s
d
ec
r
ea
s
es
s
ig
n
i
f
ican
tly
f
o
r
lar
g
er
en
cr
y
p
tio
n
k
e
y
s
,
as
th
e
s
h
ee
r
n
u
m
b
er
o
f
p
o
s
s
ib
le
co
m
b
in
ati
o
n
s
m
ak
es
e
x
h
au
s
tiv
e
test
in
g
im
p
r
ac
tical.
I
n
o
u
r
alg
o
r
ith
m
,
th
e
s
ec
r
et
k
ey
is
d
esig
n
ed
to
b
e
lar
g
er
th
a
n
2
128
,
en
s
u
r
in
g
r
o
b
u
s
t
r
esis
tan
ce
to
b
r
u
te
f
o
r
ce
attac
k
s
,
as
n
o
ted
in
r
ef
er
e
n
ce
s
[
2
9
]
.
I
n
th
is
cr
y
p
to
g
r
a
p
h
ic
a
p
p
r
o
ac
h
,
a
s
ec
r
et
k
ey
is
g
e
n
er
ated
f
r
o
m
th
e
co
m
b
in
ed
p
ar
am
eter
s
o
f
th
r
ee
wid
ely
u
s
ed
ch
ao
tic
m
a
p
s
,
with
a
t
o
tal
o
f
s
ix
p
ar
am
eter
s
en
c
o
d
ed
in
3
2
b
its
ea
ch
,
r
esu
ltin
g
in
a
r
o
b
u
s
t k
e
y
s
ize
o
f
(
2
6
∗
32
)
=
(
2
1
92
)
≫
(
2
100
)
.
3
.
2
.
Ana
ly
s
is
o
f
t
he
s
ens
it
iv
it
y
o
f
a
s
ec
re
t
k
ey
W
ith
in
o
u
r
ap
p
r
o
ac
h
,
ea
ch
ch
ao
tic
m
ap
ex
h
ib
its
a
h
ig
h
s
en
s
itiv
ity
to
in
itial
co
n
d
itio
n
s
,
en
s
u
r
in
g
th
at
ev
en
s
m
all
ch
an
g
es
in
p
ar
am
eter
s
d
u
r
in
g
k
ey
r
e
g
en
er
atio
n
r
esu
lt
in
co
m
p
letely
d
if
f
er
en
t
k
ey
s
an
d
d
iv
er
g
e
n
t
ch
ao
tic
v
ec
to
r
s
.
T
h
is
s
en
s
itiv
ity
p
lay
s
a
c
r
u
cial
r
o
le
in
o
u
r
n
o
v
el
tech
n
o
lo
g
y
,
w
h
ich
is
v
i
s
u
ally
illu
s
tr
ated
in
Fig
u
r
e
6
,
wh
ich
s
h
o
ws
th
e
d
is
tin
ct
an
d
d
if
f
e
r
en
t r
esu
lts
p
r
o
d
u
ce
d
b
y
d
if
f
er
e
n
t
in
itial
co
n
d
it
io
n
s
an
d
p
ar
a
m
eter
p
er
tu
r
b
atio
n
s
with
in
th
e
ch
ao
tic
m
ap
s
.
T
h
is
f
ea
t
u
r
e
u
n
d
er
s
co
r
es
th
e
r
o
b
u
s
tn
ess
an
d
u
n
p
r
ed
ictab
ilit
y
o
f
o
u
r
cr
y
p
to
g
r
ap
h
ic
ap
p
r
o
ac
h
,
en
h
a
n
cin
g
s
ec
u
r
ity
b
y
g
en
er
atin
g
u
n
iq
u
e
k
e
y
s
th
at
ar
e
r
esis
ta
n
t
to
r
ep
licatio
n
o
r
p
r
ed
ictio
n
.
W
e
o
b
s
er
v
e
t
h
at
a
d
is
tu
r
b
an
ce
o
f
a
s
in
g
le
v
ar
iab
le
o
f
th
e
o
r
d
er
o
f
(
1
0
-
7
)
i
s
n
o
t
s
u
f
f
icien
t
to
p
r
ec
is
ely
r
ec
o
n
s
tr
u
ct
th
e
p
lain
tex
t im
ag
e.
Fig
u
r
e
6
.
Sen
s
itiv
ity
o
f
cip
h
er
i
n
g
k
ey
3
.
3
.
St
a
t
is
t
ica
l a
t
t
a
ck
s
ec
urit
y
T
o
v
alid
ate
th
e
r
esil
ien
ce
o
f
o
u
r
n
o
v
el
en
cr
y
p
tio
n
tech
n
iq
u
e
f
o
r
m
e
d
ical
an
d
co
lo
r
im
a
g
es
ag
ain
s
t
s
tatis
t
ical
attac
k
s
,
ex
ten
s
iv
e
te
s
tin
g
h
as
b
ee
n
co
n
d
u
cted
,
f
o
c
u
s
in
g
o
n
s
ev
er
al
n
o
tab
le
ex
p
e
r
im
en
ts
.
T
h
ese
test
s
wer
e
d
esig
n
ed
to
ass
ess
th
e
alg
o
r
ith
m
’
s
ab
ilit
y
to
with
s
tan
d
v
ar
io
u
s
s
tatis
tical
an
aly
s
es
co
m
m
o
n
l
y
u
s
ed
in
cr
y
p
tan
aly
s
is
an
d
im
ag
e
p
r
o
c
ess
in
g
.
T
h
e
r
esu
lts
h
ig
h
lig
h
t
k
ey
f
in
d
in
g
s
th
at
d
em
o
n
s
tr
ate
th
e
ef
f
ec
tiv
en
ess
o
f
o
u
r
en
c
r
y
p
tio
n
m
eth
o
d
in
m
ain
tain
in
g
im
ag
e
s
ec
u
r
ity
an
d
in
teg
r
ity
u
n
d
er
r
ig
o
r
o
u
s
ex
am
in
atio
n
.
3
.
3
.
1
.
Ana
ly
s
is
o
f
his
t
o
g
ra
m
s
T
h
e
f
lo
wc
h
ar
t
illu
s
tr
ates
th
e
f
r
eq
u
e
n
cy
d
is
tr
ib
u
tio
n
o
f
p
ix
els
s
h
ar
in
g
id
e
n
tical
g
r
e
y
lev
els,
wh
er
e
ea
ch
v
er
tical
b
a
r
alo
n
g
th
e
x
-
ax
is
r
ep
r
esen
ts
o
cc
u
r
r
en
ce
s
r
a
n
g
in
g
f
r
o
m
ze
r
o
to
2
5
5
le
v
els
with
in
th
e
im
ag
e
.
Fro
m
a
cr
y
p
to
g
r
ap
h
ic
s
tan
d
p
o
in
t,
an
aly
zin
g
th
e
co
lo
r
d
is
tr
ib
u
tio
n
in
en
cr
y
p
ted
im
ag
es
is
cr
itical
as
i
t
ca
n
u
n
v
eil
in
s
ig
h
ts
in
to
th
e
o
r
ig
in
al
co
n
ten
t.
C
o
n
v
er
s
ely
,
a
u
n
if
o
r
m
ly
d
is
tr
ib
u
ted
h
is
to
g
r
a
m
i
n
en
cr
y
p
ted
im
a
g
es
s
u
g
g
ests
a
r
o
b
u
s
t
en
cr
y
p
tio
n
p
r
o
ce
s
s
th
at
o
b
s
cu
r
es
an
y
id
e
n
tifia
b
le
p
atter
n
s
f
r
o
m
th
e
o
r
ig
in
al
d
ata.
T
ab
le
2
d
is
p
lay
s
th
e
s
im
u
latio
n
o
u
tc
o
m
es
o
f
o
u
r
s
y
s
tem
,
p
r
o
v
id
i
n
g
em
p
ir
ical
ev
i
d
en
ce
o
f
its
p
er
f
o
r
m
an
ce
an
d
ef
f
ec
tiv
en
ess
in
p
r
o
tectin
g
i
m
ag
e
in
teg
r
ity
an
d
co
n
f
id
en
t
iality
.
T
h
is
s
tu
d
y
d
em
o
n
s
tr
at
es
th
at
o
u
r
m
eth
o
d
co
n
s
is
ten
tly
g
en
er
ates
en
cr
y
p
ted
im
ag
es
with
s
m
o
o
th
ed
h
is
to
g
r
am
s
ac
r
o
s
s
v
ar
io
u
s
test
s
ce
n
ar
io
s
.
T
h
e
u
n
if
o
r
m
ity
o
b
s
er
v
ed
in
t
h
ese
h
is
to
g
r
am
s
p
r
o
v
id
es
s
tr
o
n
g
d
e
f
en
s
e
ag
ain
s
t
p
o
ten
tial
attac
k
s
th
at
aim
to
ex
p
lo
it
h
is
to
g
r
am
ch
ar
ac
te
r
is
tics
f
o
r
d
ec
r
y
p
tio
n
o
r
a
n
aly
s
is
p
u
r
p
o
s
es
.
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