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8
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.
A
th
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g
h
th
er
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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2
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8
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8708
I
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Vo
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6
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6
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Dec
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1
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–
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8
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o
ld
v
alu
e
)
ab
le
to
co
m
b
in
e
n
o
t a
ll
th
e
s
h
ar
es a
r
e
n
ee
d
ed
.
T
h
e
th
r
esh
o
ld
cr
y
p
to
g
r
ap
h
y
s
ch
e
m
e
s
ee
m
s
to
b
e
an
ad
v
an
c
e
d
s
tep
to
p
r
o
v
id
in
g
s
ec
u
r
it
y
f
o
r
th
e
k
e
y
.
T
h
is
is
b
ec
au
s
e
th
e
ad
v
er
s
ar
y
w
il
l
n
ee
d
to
attac
k
k
en
t
ities
i
n
o
r
d
er
to
o
b
tain
th
e
r
ec
o
m
b
i
n
ed
k
e
y
t
h
at
m
ak
e
it
m
o
r
e
d
i
f
f
icu
l
t f
o
r
th
e
attac
k
er
.
A
lt
h
o
u
g
h
,
t
h
er
e
ar
e
s
o
m
e
r
es
ea
r
ch
s
u
s
in
g
t
h
e
th
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
to
p
r
o
v
id
e
s
ec
u
r
it
y
f
o
r
k
e
y
s
to
r
ed
o
n
clo
u
d
[
1
0
-
1
4
]
,
th
er
e
ar
e
n
o
r
esear
c
h
es
atte
m
p
tin
g
to
f
i
n
d
a
s
u
itab
le
t
h
r
es
h
o
ld
f
o
r
a
n
y
n
u
m
b
er
o
f
s
h
ar
es
d
is
tr
ib
u
t
ed
.
T
h
e
o
b
j
ec
ti
v
e
o
f
th
is
p
ap
er
is
,
th
er
e
f
o
r
e
t
o
d
esig
n
a
n
d
i
m
p
le
m
en
t
a
m
e
th
o
d
th
a
t
i
s
ab
le
to
ass
is
t
in
f
in
d
i
n
g
s
u
c
h
v
a
lu
e
s
.
I
n
ad
d
itio
n
,
ti
m
e
f
o
r
k
e
y
d
is
tr
ib
u
tio
n
an
d
k
e
y
r
ec
o
n
s
tr
u
cti
o
n
ar
e
co
llected
to
an
al
y
ze
w
h
at
d
esire
ab
le
t
h
r
esh
o
ld
v
alu
e
s
h
o
u
ld
b
e
b
y
u
s
in
g
C
lo
u
d
Si
m
to
o
lk
i
t.
T
h
e
r
est
o
f
t
h
e
p
ap
er
is
o
r
g
a
n
ized
as
f
o
llo
w
s
.
Sec
tio
n
2
p
r
esen
ts
b
r
ief
b
ac
k
g
r
o
u
n
d
k
n
o
w
led
g
e
o
n
th
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
a
n
d
clo
u
d
co
m
p
u
tin
g
i
n
v
o
l
v
i
n
g
t
h
e
clo
u
d
s
i
m
u
latio
n
to
o
l
k
n
o
w
n
as
C
lo
u
d
Si
m
.
T
h
e
ex
p
er
i
m
e
n
tal
d
esi
g
n
s
ar
e
ex
p
l
ain
ed
in
Sect
io
n
3
.
T
h
e
r
esu
lt
s
o
f
th
e
e
x
p
er
i
m
e
n
t
a
n
d
d
is
cu
s
s
io
n
ar
e
g
iv
e
n
i
n
Sectio
n
4
.
Fin
al
l
y
,
Sect
io
n
5
co
n
clu
d
es t
h
e
p
ap
er
.
2.
B
ACK
G
RO
UND
K
NO
W
L
E
DG
E
T
h
is
s
ec
tio
n
d
e
s
cr
ib
es
th
e
f
u
n
d
am
e
n
tal
ar
ch
itectr
u
e
o
f
c
lo
u
d
co
m
p
u
ti
n
g
s
i
m
u
latio
n
as
C
lo
u
d
Si
m
an
d
th
e
al
g
o
r
it
h
m
s
o
f
t
h
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
,
(
n
,
k
)
-
S
h
a
m
ir
’
s
s
ec
r
et
s
h
ar
in
g
s
c
h
e
m
e,
b
ased
o
n
R
S
A
f
o
r
f
i
n
d
in
g
s
u
itab
le
p
ar
a
m
eter
s
.
2
.
1
.
O
v
er
v
ie
w
o
f
T
hresh
o
ld Cr
y
pto
g
ra
ph
y
T
h
r
esh
o
ld
cr
y
p
to
g
r
ap
h
y
i
s
a
s
ec
r
et
-
k
e
y
s
h
ar
i
n
g
s
c
h
e
m
e
f
o
r
p
u
b
lic
k
e
y
cr
y
p
to
g
r
ap
h
y
,
d
en
o
ted
as
(
n
,
k
)
-
th
r
esh
o
ld
,
i
n
tr
o
d
u
ce
d
b
y
S
h
a
m
ir
[
3
]
.
T
h
e
alg
o
r
ith
m
w
o
r
k
s
b
y
d
iv
id
in
g
t
h
e
p
r
iv
ate
k
e
y
,
g
en
er
ated
b
y
R
S
A
k
e
y
p
air
s
g
en
er
ato
r
,
in
to
s
u
b
n
k
e
y
s
o
r
s
h
ar
es
ac
co
r
d
in
g
to
n
u
m
b
er
o
f
en
titi
e
s
,
w
h
ich
ar
e
n
u
m
b
er
o
f
cr
ea
ted
v
ir
tu
al
m
ac
h
in
e
s
(
VM
s
)
o
n
s
i
n
g
le
h
o
s
t.
T
h
e
k
e
y
r
ec
o
m
b
i
n
atio
n
o
p
er
ates
b
y
co
lle
ctin
g
th
e
p
ar
tial
o
f
k
k
e
y
s
f
r
o
m
n
s
h
ar
e
s
d
is
tr
ib
u
ted
a
m
o
n
g
t
h
e
m
ab
le
to
b
e
r
ec
o
n
s
tr
u
cted
i
n
to
f
o
r
m
o
f
o
r
ig
in
al
p
r
iv
ate
k
e
y
.
Oth
er
w
i
s
e,
o
n
l
y
a
f
e
w
s
u
b
k
e
y
s
o
r
s
h
ar
es c
an
b
e
co
llected
to
g
en
er
ate
t
h
e
p
r
iv
ate
k
e
y
b
ac
k
.
A
cc
o
r
d
in
g
l
y
,
t
h
e
t
h
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
s
c
h
e
m
e
i
s
g
e
n
er
al
l
y
d
is
ti
n
g
u
i
s
h
ed
in
to
t
w
o
p
h
as
es:
s
h
ar
ed
-
k
e
y
d
is
tr
ib
u
tio
n
a
n
d
s
h
ar
ed
-
k
e
y
r
ec
o
n
s
tr
u
ctio
n
t
h
at
ar
e
th
e
s
i
g
n
i
f
ica
n
t
f
ac
to
r
s
in
t
h
i
s
p
ap
er
.
2
.
1
.
1
.
Sh
a
re
d
-
k
ey
dis
t
rib
utio
n pha
s
e
A
t
t
h
e
b
eg
i
n
n
i
n
g
,
a
p
r
iv
ate
k
e
y
is
g
en
er
ated
u
s
i
n
g
a
n
y
as
y
m
m
etr
ic
cr
y
p
to
g
r
ap
h
ic
alg
o
r
it
h
m
,
in
h
er
e
is
R
S
A
.
T
h
e
p
r
iv
ate
k
e
y
i
s
t
h
en
b
ei
n
g
s
p
it
in
to
n
s
h
ar
es
ac
co
r
d
in
g
to
en
tire
en
t
ities
,
w
h
er
ea
s
VM
s
,
in
t
h
e
s
y
s
te
m
b
ased
o
n
p
o
l
y
n
o
m
ial
in
ter
p
o
latio
n
.
T
h
e
to
tal
am
o
u
n
t
o
f
n
s
u
b
k
e
y
s
h
ar
es
is
t
h
en
d
is
tr
ib
u
ted
to
ea
ch
en
tit
y
.
T
h
er
ef
o
r
e,
th
e
p
r
o
ce
s
s
o
f
th
i
s
p
h
ase
ca
n
b
e
s
u
m
m
ar
iz
ed
as f
o
llo
w
s
.
Step
1
:
T
h
e
p
r
iv
ate
k
e
y
is
g
en
er
ated
b
y
R
S
A
a
lg
o
r
it
h
m
,
w
h
ic
h
i
s
o
n
e
m
ec
h
an
i
s
m
o
f
as
y
m
m
e
tr
ic
cr
y
p
to
g
r
ap
h
y
.
Step
2
:
T
h
e
p
r
iv
ate
k
e
y
is
d
ev
id
ed
in
to
s
u
b
k
e
y
s
i
n
f
o
r
m
o
f
(
n
,
k
)
-
th
r
es
h
o
ld
s
ch
e
m
e
b
ased
o
n
a
r
an
d
o
m
p
o
ly
n
o
m
ia
l o
f
d
eg
r
ee
k
-
1
,
w
h
e
r
ea
s
th
e
co
ef
f
icie
n
t
a
0
is
p
r
iv
at
e
k
e
y
s
h
o
w
n
in
(
1
)
.
(
)
(
1
)
Step
3
: T
h
e
n
e
w
s
u
b
s
ec
r
et
k
e
y
s
h
ar
es a
r
e
d
is
tr
ib
u
ted
to
ea
ch
en
ti
t
y
.
2
.
1
.
2
.
Sh
a
re
d
-
k
ey
Rec
o
ns
t
ruct
io
n
P
ha
s
e
W
h
en
t
h
e
p
r
iv
ate
k
e
y
n
ee
d
s
to
b
e
r
ec
o
m
b
i
n
ed
,
n
u
m
b
er
o
f
k
s
u
b
k
e
y
s
h
ar
es
f
r
o
m
n
u
m
b
er
o
f
n
s
u
b
k
e
y
s
h
ar
es
w
o
u
ld
b
e
co
llected
.
I
n
o
th
er
w
o
r
d
s
,
o
n
l
y
k
k
e
y
s
h
ar
e
s
ar
e
n
ee
d
ed
to
cr
ea
te
k
e
y
b
ac
k
.
Her
e,
k
is
k
n
o
wn
as a
th
r
es
h
o
ld
v
al
u
e.
T
h
e
k
e
y
r
ec
o
n
s
tr
u
ctio
n
p
r
o
ce
s
s
is
o
p
er
ated
b
y
ap
p
l
y
i
n
g
t
h
e
L
a
g
r
an
g
e
I
n
ter
p
o
latio
n
s
h
o
w
n
in
(
2
)
.
(
)
∑
(
∏
)
(
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
F
in
d
in
g
th
e
Op
tima
l V
a
lu
e
f
o
r
Th
r
esh
o
ld
C
r
yp
to
g
r
a
p
h
y
o
n
C
lo
u
d
C
o
mp
u
tin
g
(
W
ee
n
a
Ja
n
r
a
tch
ko
o
l)
2981
2
.
2
.
O
v
er
v
ie
w
o
f
Clo
ud
Si
m
C
lo
u
d
Si
m
[
1
5
]
is
o
n
e
o
f
clo
u
d
s
i
m
u
latio
n
to
o
lk
it
th
a
t
all
o
w
s
f
o
r
v
ir
tu
alize
d
en
v
ir
o
n
m
en
ts
,
w
h
ich
en
ab
le
m
o
d
el,
e
x
p
er
i
m
e
n
t
a
n
d
test
p
er
f
o
r
m
a
n
ce
o
f
ap
p
licatio
n
s
a
n
d
s
er
v
ices
b
e
f
o
r
e
lau
n
c
h
o
n
r
ea
l
-
w
o
r
ld
clo
u
d
.
C
lo
u
d
Si
m
i
s
lib
r
ar
y
t
o
o
l
f
o
r
s
i
m
u
latio
n
clo
u
d
s
ce
n
ar
io
w
r
itte
n
i
n
J
a
v
a
la
n
g
u
a
g
e.
T
h
er
e
ar
e
m
an
y
r
esear
ch
es
u
s
in
g
C
lo
u
d
Si
m
to
o
lk
it
s
u
c
h
as
to
s
tu
d
y
C
P
U
allo
ca
tio
n
an
d
s
ch
ed
u
lin
g
al
g
o
r
ith
m
s
[
1
6
]
an
d
to
s
i
m
u
late
a
n
d
o
p
ti
m
ize
t
h
e
ex
e
cu
tio
n
ti
m
e
a
n
d
av
er
ag
e
w
ai
ti
n
g
ti
m
e
i
n
clo
u
d
en
v
ir
o
n
m
e
n
t
[
1
7
]
.
I
n
C
lo
u
d
Si
m
,
th
er
e
a
r
e,
o
f
ca
u
s
e,
m
an
y
d
i
f
f
e
r
en
t
class
e
s
th
at
s
u
p
p
o
r
t
clo
u
d
en
v
ir
o
n
m
e
n
t
s
i
m
u
latio
n
.
T
h
er
ef
o
r
e,
m
o
r
e
d
etails
o
f
s
o
m
e
cla
s
s
es
co
n
ce
r
n
ed
ar
e
also
n
ec
ess
ar
il
y
e
x
p
lai
n
ed
c
o
n
s
is
tin
g
o
f
C
lo
u
d
let,
VM
,
H
o
s
t,
Data
ce
n
ter
an
d
Data
ce
n
ter
B
r
o
k
er
.
C
lo
u
d
let
cla
s
s
is
r
ep
r
ese
n
te
d
ap
p
licatio
n
task
s
o
r
s
er
v
ices
.
E
ac
h
clo
u
d
let
o
b
j
ec
t
en
ca
p
s
u
lated
th
e
n
u
m
b
er
o
f
i
n
s
tr
u
ctio
n
s
,
o
v
er
h
ea
d
o
f
d
ata
tr
an
s
f
er
,
m
o
d
el
o
f
w
o
r
k
lo
ad
g
e
n
er
atio
n
a
n
d
id
e
n
ti
f
icatio
n
o
f
VM
,
w
h
ic
h
i
s
as
s
i
g
n
ed
o
n
.
VM
i
s
a
clas
s
,
r
ep
r
esen
ted
v
ir
t
u
al
m
ac
h
in
e,
p
r
o
v
id
ed
c
h
ar
ac
ter
is
tics
o
f
ea
c
h
v
ir
t
u
al
m
ac
h
in
e
i
n
cl
u
d
in
g
p
r
o
ce
s
s
in
g
p
o
w
er
,
R
A
M,
n
et
w
o
r
k
an
d
b
an
d
w
id
th
,
s
to
r
ag
e
s
ize
an
d
h
o
s
t,
w
h
ich
it
’
s
lo
ca
tin
g
.
Ho
s
t
cla
s
s
is
m
o
d
eled
th
e
p
h
y
s
ical
r
eso
u
r
ce
s
s
u
c
h
a
s
d
atac
e
n
ter
s
a
n
d
s
to
r
ag
e
s
er
v
er
s
.
I
ts
ch
ar
ac
ter
is
tic
s
co
n
s
i
s
t
o
f
lis
t
s
an
d
t
y
p
es
o
f
p
r
o
ce
s
s
in
g
co
r
es
(
P
E
)
,
am
o
u
n
t
o
f
s
to
r
ag
e,
R
AM
an
d
p
o
licies
f
o
r
allo
ca
tin
g
VM
.
Mo
r
eo
v
er
,
h
o
s
t is also
d
ir
ec
tl
y
as
s
o
ciate
d
to
Data
ce
n
ter
.
Data
ce
n
ter
clas
s
m
o
d
els
t
h
e
co
r
e
in
f
r
astr
u
ctu
r
e,
w
h
ic
h
en
ca
p
s
u
lates
lis
t
s
o
f
h
o
s
ts
.
I
t
d
ea
ls
w
it
h
s
ch
ed
u
lin
g
o
f
ea
c
h
VM
to
p
la
ce
o
n
a
n
y
h
o
s
t.
Data
ce
n
ter
B
r
o
k
er
is
m
o
d
eled
to
r
esp
o
n
s
e
f
o
r
m
ed
iati
n
g
b
et
w
ee
n
u
s
er
s
a
n
d
s
er
v
ice
s
.
2
.
3
.
Rela
t
ed
W
o
rk
Data
p
r
o
tectio
n
an
d
k
e
y
m
an
ag
e
m
e
n
t
ar
e
t
w
o
o
f
m
o
s
t
i
m
p
o
r
tan
t
co
n
ce
r
n
s
f
o
r
clo
u
d
s
e
cu
r
it
y
.
T
o
o
v
er
co
m
e
s
o
m
e
th
r
ea
t
s
s
u
ch
as
s
id
e
-
c
h
a
n
n
el
a
ttack
[
5
-
7
]
,
th
er
ef
o
r
e,
th
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
i
s
o
n
e
o
f
s
o
lu
tio
n
s
co
n
d
u
cted
to
p
r
o
v
id
e
m
o
r
e
s
ec
u
r
it
y
o
n
clo
u
d
.
T
h
er
e
h
av
e
s
o
m
e
r
esear
ch
e
s
alr
ea
d
y
b
ee
n
d
o
n
e
f
o
r
u
s
i
n
g
th
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
.
C
lo
u
d
s
ta
s
h
[
1
0
]
ap
p
lies
th
e
s
e
cr
et
-
s
h
ar
in
g
s
c
h
e
m
e
d
ir
ec
tl
y
o
n
t
h
e
f
ile
t
h
at
s
p
it i
n
to
m
u
ltip
l
e
s
h
ar
es o
f
s
ec
r
et
an
d
t
h
e
n
d
is
tr
ib
u
ted
th
e
m
i
n
to
m
u
ltip
le
clo
u
d
s
s
i
m
u
lt
an
eo
u
s
l
y
w
h
er
e
s
h
ar
es
ar
e
r
eq
u
ir
ed
to
r
ec
o
n
s
tr
u
ct
th
e
f
ile.
T
h
e
I
n
ter
C
lo
u
d
[
1
1
]
s
y
s
te
m
w
o
r
k
s
b
y
u
s
in
g
s
y
m
m
etr
ic
en
cr
y
p
tio
n
o
n
th
e
d
ata
a
n
d
s
p
itti
n
g
t
h
e
k
e
y
in
to
s
h
ar
es
u
s
i
n
g
s
ec
r
et
s
h
ar
i
n
g
s
c
h
e
m
e.
B
ef
o
r
e
d
is
tr
ib
u
t
in
g
to
th
e
clo
u
d
,
th
e
ea
ch
s
h
ar
e
-
k
ey
is
attac
h
ed
to
th
e
p
ices
o
f
d
ata
as
m
etad
ata.
T
h
e
C
lo
u
d
Seal
[
1
2
]
,
an
en
d
-
to
-
e
n
d
co
n
ten
t
co
n
f
id
en
t
ialit
y
p
r
o
tectio
n
s
ch
e
m
e
f
o
r
lar
g
e
-
s
ca
le
co
n
te
n
t
s
to
r
ag
e,
in
teg
r
ate
s
s
y
m
m
e
tr
ic
en
cr
y
p
ti
o
n
,
th
r
es
h
o
ld
s
ec
r
et
s
h
ar
i
n
g
an
d
p
r
o
x
y
b
ased
r
e
-
en
cr
y
p
tio
n
s
ch
e
m
e
to
p
r
o
tect
co
n
ten
t a
n
d
m
a
n
g
e
t
h
e
u
s
er
ac
c
ess
.
As
f
o
r
k
e
y
p
r
o
tectio
n
asp
ec
t,
a
m
u
ltil
e
v
el
t
h
r
es
h
o
ld
s
ec
r
et
s
h
ar
i
n
g
s
ch
e
m
e
[
1
3
]
is
co
n
d
u
cted
b
y
d
u
p
licati
n
g
th
e
s
ec
r
et
k
e
y
a
n
d
th
en
d
is
tr
ib
u
ti
n
g
i
n
to
m
u
ltip
le
r
eso
u
r
ce
p
r
o
v
id
er
s
to
en
s
u
r
e
av
ailab
ilit
y
.
Mo
r
eo
v
er
,
k
e
y
-
i
n
s
u
lated
s
y
m
m
etr
ic
cr
y
p
to
g
r
ap
h
y
[
8
]
is
p
r
esen
ted
to
ag
a
in
s
t
t
h
e
co
m
p
r
o
m
is
e
o
f
k
e
y
s
f
r
o
m
s
o
f
t
w
ar
e
-
b
ased
attac
k
s
u
c
h
as
m
al
w
ar
e.
I
n
au
t
h
e
n
ticatio
n
,
th
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
is
co
n
d
u
cted
to
in
teg
r
ate
w
it
h
Ker
b
er
o
s
[
1
4
]
p
r
o
to
co
l t
o
p
r
o
v
id
e
m
o
r
e
s
ec
u
r
it
y
a
n
d
to
in
cr
ea
s
e
av
ai
lab
ilit
y
o
f
k
e
y
.
A
lt
h
o
u
g
h
,
th
er
e
ar
e
s
o
m
e
r
es
ea
r
ch
s
u
s
i
n
g
t
h
e
t
h
r
es
h
o
ld
cr
y
p
to
g
r
ap
h
y
to
p
r
o
v
id
e
s
ec
u
r
it
y
o
n
clo
u
d
,
th
er
e
ar
e
n
o
r
ese
ar
ch
es a
tte
m
p
tin
g
to
f
i
n
d
a
s
u
itab
le
t
h
r
es
h
o
l
d
f
o
r
an
y
n
u
m
b
er
o
f
s
h
ar
e
s
d
is
tr
ib
u
ted
.
3.
RE
S
E
ARCH
M
E
T
H
O
D
T
h
is
s
ec
tio
n
e
x
p
lain
s
ex
p
er
i
m
en
tal
d
esi
g
n
s
to
f
in
d
a
s
u
itab
le
th
r
es
h
o
ld
v
al
u
e,
k
,
f
o
r
an
y
n
u
m
b
er
o
f
n
s
h
ar
es,
i
n
th
e
clo
u
d
e
n
v
ir
o
n
m
en
t
u
s
in
g
C
lo
u
d
Si
m
.
I
n
o
r
d
er
to
s
i
m
u
late
clo
u
d
en
v
ir
o
n
m
e
n
t,
f
i
v
e
n
e
w
cla
s
s
e
s
,
d
esig
n
ed
f
o
r
d
ea
lin
g
w
it
h
esp
ec
iall
y
t
h
e
k
e
y
s
,
co
n
s
is
t
in
g
o
f
Ke
y
Di
s
tr
i
b
u
tio
n
,
Ke
y
Ge
n
er
atio
n
,
Ke
y
R
ec
o
n
s
tr
u
ctio
n
,
Ke
y
Sh
ar
ed
a
n
d
P
r
im
e
R
S
A
Nu
m
b
er
ar
e
ad
d
ed
in
C
lo
u
d
Si
m
f
r
a
m
e
w
o
r
k
.
Ke
y
Ge
n
er
atio
n
,
Ke
y
Dis
tr
ib
u
tio
n
an
d
Ke
y
R
e
co
n
s
tr
u
ct
io
n
class
e
s
ar
e
b
u
ilt
to
h
an
d
ler
w
it
h
g
e
n
er
atin
g
th
e
p
r
iv
ate
k
e
y
b
ased
o
n
R
S
A
al
g
o
r
ith
m
,
d
is
tr
ib
u
ti
n
g
t
h
e
k
e
y
s
to
v
ir
t
u
al
m
ac
h
in
e
an
d
co
llectin
g
k
e
y
s
to
r
ec
o
n
s
tr
u
ct
t
h
e
k
e
y
r
esp
ec
tiv
el
y
.
Ke
y
S
h
ar
ed
class
is
d
esig
n
ed
f
o
r
s
to
r
in
g
b
eh
a
v
i
o
r
o
f
ea
ch
k
e
y
s
h
ar
e.
Fig
u
r
e
1
s
h
o
w
s
t
h
e
p
r
o
ce
s
s
o
f
k
e
y
g
en
er
atio
n
a
n
d
d
is
tr
ib
u
ti
o
n
o
n
th
e
clo
u
d
s
i
m
u
la
tio
n
(
C
lo
u
d
Si
m
)
th
at
co
n
s
i
s
ts
o
f
Ke
y
Ge
n
er
atio
n
cla
s
s
,
Ke
y
Sh
ar
e
s
cla
s
s
an
d
Ke
y
d
is
tr
ib
u
tio
n
clas
s
.
T
h
e
p
r
o
ce
s
s
s
tar
ts
w
it
h
th
e
v
ir
tu
a
l
m
ac
h
in
e
s
(
VM
s
)
r
eq
u
esti
n
g
f
r
o
m
clo
u
d
u
s
er
to
Data
ce
n
ter
B
r
o
k
er
clas
s
t
h
at
p
r
o
v
id
es
th
e
d
ata
c
en
ter
(
s
)
a
n
d
h
o
s
t
(
s
)
b
y
s
e
n
d
in
g
t
h
e
r
eq
u
e
s
t
to
Data
ce
n
ter
a
n
d
Ho
s
t
clas
s
r
ep
ec
tiv
e
l
y
.
W
h
en
t
h
e
d
ata
ce
n
ter
an
d
h
o
s
t
h
av
e
b
ee
n
alr
ea
d
y
cr
ea
ted
,
th
e
v
ir
t
u
al
m
ac
h
in
es
(
VM
s
)
w
i
ll
b
e
r
eq
u
e
s
ted
f
r
o
m
u
s
er
v
ia
t
h
e
Data
ce
n
ter
B
r
o
k
er
class
.
I
n
ad
d
itio
n
,
Data
ce
n
ter
B
r
o
k
er
class
is
en
te
n
d
ed
to
tak
e
r
esp
o
n
s
ib
ilit
y
f
o
r
ass
i
g
n
i
n
g
k
e
y
s
to
ea
ch
v
ir
tu
al
m
ac
h
in
e.
I
n
th
e
Ke
y
Gen
er
a
tio
n
clas
s
,
th
e
2
0
4
8
b
it
-
k
e
y
s
ize
o
f
p
r
iv
a
te
k
e
y
i
s
g
e
n
er
ated
b
y
u
s
i
n
g
th
e
R
S
A
alg
o
r
ith
m
.
T
h
en
th
e
p
r
iv
ate
k
e
y
is
s
e
n
t
to
Ke
y
S
h
ar
es
c
l
ass
to
d
i
v
id
e
t
h
e
k
e
y
in
to
s
u
b
k
e
y
s
in
f
o
r
m
o
f
(
n
,
k
)
-
t
h
r
es
h
o
ld
s
ch
e
m
e
b
ased
o
n
a
r
an
d
o
m
p
o
l
y
n
o
m
ial
o
f
d
e
g
r
ee
k
-
1
ac
co
r
d
in
g
to
eq
u
atio
n
in
(
1
)
.
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h
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late
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esh
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=
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2
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d
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3
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iab
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to
co
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s
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As
s
tate
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lier
,
th
is
p
ap
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f
o
cu
s
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n
ap
p
l
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g
s
p
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alg
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r
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m
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t
h
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cr
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th
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p
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k
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w
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s
p
lit
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to
t
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h
a
r
es,
d
is
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ted
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o
n
s
tr
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cted
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v
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t
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e
x
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ts
.
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h
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k
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y
d
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s
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s
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m
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w
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b
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co
llected
a
n
d
ev
alu
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ted
in
t
h
is
p
ap
er
to
f
in
d
s
u
itab
le
p
ar
a
m
eter
s
.
Her
e,
th
at
is
th
r
es
h
o
ld
v
al
u
e,
k
.
3
.
1
.
Dis
t
ributio
n
P
ha
s
e
T
h
e
ex
p
er
i
m
e
n
t
i
n
th
is
p
h
ase
is
d
e
s
ig
n
ed
f
o
r
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b
s
er
v
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n
g
,
c
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llectin
g
a
n
d
an
a
l
y
zi
n
g
t
h
e
ti
m
e
o
f
k
e
y
d
is
tr
ib
u
tio
n
b
y
v
ar
y
in
g
t
h
e
th
r
esh
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ld
v
al
u
e,
k
,
w
h
ile
t
h
e
n
u
m
b
er
o
f
en
titi
es,
n
,
is
co
n
s
tan
t.
T
h
e
k
ey
s
ize
u
s
ed
in
t
h
e
ex
p
er
im
e
n
t
w
ill
b
e
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l
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2
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4
8
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it
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k
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y
s
ac
co
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in
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to
th
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NI
ST
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m
m
e
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d
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[
1
8
]
.
T
h
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ex
p
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t
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w
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ca
r
r
ied
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p
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t
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p
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k
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to
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s
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ar
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n
w
as
2
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s
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2
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s
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r
esp
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tiv
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y
.
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h
e
ti
m
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tak
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to
d
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tr
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th
e
k
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s
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d
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n
ex
t.
3
.
2
.
Rec
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ns
t
ruct
io
n
Ph
a
s
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I
n
r
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s
tr
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ase,
t
h
e
e
x
p
er
i
m
e
n
ts
w
er
e
ca
r
r
ied
o
u
t
as
f
o
llo
w
s
.
First,
a
f
ter
t
h
e
p
r
iv
a
te
k
e
y
w
a
s
s
p
lit
i
n
to
2
5
6
s
h
ar
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2
2
4
s
h
a
r
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1
9
2
s
h
ar
es
u
n
til
to
3
2
s
h
ar
es
in
o
r
d
er
as
i
n
t
h
e
s
ec
tio
n
3
.
1
,
th
e
t
h
r
es
h
o
ld
v
alu
e,
k
,
w
a
s
c
h
o
s
en
b
y
s
tar
ti
n
g
a
t
th
e
v
al
u
e
o
f
8
.
I
t
w
a
s
th
en
s
tead
il
y
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n
cr
e
m
e
n
ted
b
y
8
u
p
to
th
e
m
a
x
i
m
u
m
v
alu
e
o
f
t
h
e
n
u
m
b
er
o
f
s
h
ar
es,
n
.
Fo
r
ex
am
p
le,
if
n
w
er
e
2
5
6
,
th
e
v
al
u
e
s
o
f
k
u
s
ed
i
n
t
h
e
e
x
p
er
im
e
n
t
w
o
u
ld
b
e
8
,
1
6
,
2
4
,
3
2
…u
n
til
u
p
to
2
5
6
.
T
h
e
co
n
s
u
m
in
g
ti
m
e
s
p
en
t
o
n
r
ec
o
n
s
tr
u
ctio
n
t
h
e
p
r
iv
ate
k
e
y
b
ased
o
n
th
e
d
if
f
er
e
n
t t
h
r
esh
o
ld
v
a
lu
e
s
,
k
w
as th
e
n
r
ec
o
r
d
ed
.
3
.
3
.
F
ind
ing
a
Su
it
a
ble T
hres
ho
ld
I
n
o
r
d
er
to
f
in
d
a
s
u
itab
le
th
r
esh
o
ld
v
al
u
e,
k
,
th
e
g
r
ap
h
o
f
d
is
tr
ib
u
tio
n
ti
m
e
a
n
d
r
ec
o
n
s
tr
u
ctio
n
ti
m
e
w
il
l
b
e
p
lo
tted
to
g
eth
er
.
A
cc
o
r
d
in
g
l
y
,
t
h
e
i
n
ter
s
ec
tio
n
p
o
in
ts
b
et
w
ee
n
d
is
tr
ib
u
ti
o
n
ti
m
e
li
n
e
an
d
r
ec
o
n
s
tr
u
ctio
n
ti
m
e
lin
e
s
w
h
e
r
e
th
e
n
u
m
b
er
o
f
s
h
ar
e
s
,
n
,
w
as
2
5
6
s
h
ar
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2
2
4
s
h
ar
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u
n
t
il
3
2
s
h
ar
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an
d
its
ea
ch
t
h
r
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h
o
ld
v
al
u
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k
,
v
ar
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alo
n
g
w
it
h
8
i
n
cr
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m
en
t
u
p
to
m
ax
i
m
u
m
v
al
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o
f
it
s
ea
c
h
s
h
ar
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n
,
i
n
w
h
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t
h
e
ex
p
er
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n
t d
esi
g
n
.
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th
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cr
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I
SS
N
:
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0
8
8
-
8708
I
J
E
C
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Vo
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6
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4.
RE
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L
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A
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D
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h
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3
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an
d
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3
.
2
.
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h
en
th
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s
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itab
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.
3
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1
.
Dis
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g
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r
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.
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u
r
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tio
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u
r
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ates
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
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8
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8708
I
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Vo
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6
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2986
is
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u
r
e
4
.
R
elatio
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o
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CO
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h
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n
,
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s
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itab
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.
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h
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p
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t
s
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3
1
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.
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g
h
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e
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as
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r
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m
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tio
n
o
f
t
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it c
a
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u
s
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s
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p
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k
.
RE
F
E
R
E
NC
E
S
[1
]
NIST
S
P
8
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1
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,
“
Re
c
o
m
m
e
n
d
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Ke
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.
[2
]
Rig
h
t
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c
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,
“
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tate
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Cl
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p
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.
[3
]
Riv
e
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R
.
L
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t
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,
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M
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it
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,”
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mm
u
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o
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e
ACM
,
v
o
l.
21
,
p
p
.
1
2
0
-
1
2
6
,
1
9
7
8
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
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C
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I
SS
N:
2
0
8
8
-
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F
in
d
in
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Op
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Th
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(
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l)
2987
[4
]
Ke
rc
k
h
o
ff
s
A.
,
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L
a
Cr
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it
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o
u
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a
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d
e
s sc
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e
s
mili
ta
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s
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v
o
l.
9
,
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p
.
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-
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3
.
[5
]
Nik
o
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.
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a
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,
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Ch
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rity
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[6
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De
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,
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M
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tri
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M
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su
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In
f
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rm
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k
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e
,”
Pro
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e
e
d
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g
s
o
f
3
9
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An
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u
a
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In
ter
n
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S
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o
n
Co
mp
u
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Arc
h
it
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c
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re
(
IS
CA’1
2
),
IEE
E
,
v
o
l.
40
,
p
p
.
1
0
6
-
117
,
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0
1
2
.
[7
]
Risten
p
a
rt
T
.
,
e
t
a
l.
,
“
He
y
,
Yo
u
,
G
e
t
O
ff
o
f
M
y
Clo
u
d
:
Ex
p
lo
ri
n
g
In
f
o
r
m
a
ti
o
n
L
e
a
k
a
g
e
in
T
h
ird
-
P
a
rty
Co
m
p
u
te
Clo
u
d
s
,”
Pro
c
e
e
d
in
g
s
o
f
th
e
1
6
th
ACM
c
o
n
fer
e
n
c
e
o
n
Co
mp
u
ter
a
n
d
c
o
mm
u
n
ica
t
io
n
s
se
c
u
rity
(
CCS
’0
9
),
ACM
,
p
p
.
199
-
2
1
2
,
2
0
0
9
.
[8
]
Do
d
is
Y
.
,
e
t
a
l.
,
“
Ke
y
-
In
su
late
d
S
y
m
m
e
tri
c
Ke
y
Cr
y
p
to
g
ra
p
h
y
a
n
d
M
it
ig
a
ti
n
g
A
tt
a
c
k
s
a
g
a
in
st Cr
y
p
to
g
ra
p
h
ic Cl
o
u
d
S
o
f
tw
a
r
e
,”
Pro
c
e
e
d
in
g
s
o
f
th
e
7
t
h
ACM
S
y
mp
o
siu
m
o
n
I
n
f
o
rm
a
ti
o
n
,
C
o
mp
u
ter
a
n
d
C
o
mm
u
n
ic
a
ti
o
n
s
S
e
c
u
rit
y
(
AS
IACCS
’1
2
)
,
ACM
,
p
p
.
57
-
58
,
2
0
1
2
.
[9
]
M
o
n
e
S
.
P
.
a
n
d
Dh
o
tre
S
.
S.
,
“
En
f
o
rc
in
g
m
u
lt
i
-
u
se
r
se
c
u
rit
y
p
o
li
c
ies
in
c
lo
u
d
c
o
m
p
u
ti
n
g
,”
IJ
ECE
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
C
o
mp
u
t
e
r
En
g
i
n
e
e
rin
g
,
v
o
l/
issu
e
:
3
(4
)
,
p
p
.
5
0
4
-
5
0
8
,
2
0
1
3
.
[1
0
]
A
lso
la
m
i
F
.
a
n
d
Bo
u
lt
T
.
E.
,
“
Cl
o
u
d
S
tas
h
:
u
sin
g
se
c
re
t
-
sh
a
rin
g
sc
h
e
m
e
to
se
c
u
re
d
a
ta,
n
o
t
k
e
y
s,
in
m
u
lt
i
-
c
lo
u
d
s
,”
11
th
I
n
ter
n
a
ti
o
n
a
l
Co
n
fer
e
n
c
e
o
n
In
fo
rm
a
t
io
n
T
e
c
h
n
o
l
o
g
y
:
Ne
w
Ge
n
e
ra
ti
o
n
s (
IT
NG 2
0
1
4
)
,
p
p
.
3
1
5
-
3
2
0
,
2
0
1
4
.
[1
1
]
Ca
c
h
in
C
.
,
e
t
a
l
.
,
“
De
p
e
n
d
a
b
le sto
ra
g
e
in
th
e
in
terc
lo
u
d
,”
Res
e
a
rc
h
re
p
o
rt R
Z
3
7
8
3
,
IBM
Res
e
a
rc
h
,
2
0
1
0
.
[1
2
]
X
io
n
g
H
.
,
e
t
a
l
.,
“
Cl
o
u
d
S
e
a
l:
e
n
d
-
to
-
e
n
d
c
o
n
te
n
t
p
ro
tec
ti
o
n
i
n
c
lo
u
d
-
b
a
se
d
sto
ra
g
e
a
n
d
d
e
li
v
e
r
y
se
r
v
ice
s
,”
Pro
c
e
e
d
in
g
s
o
f
S
e
c
u
re
Co
mm
2
0
1
1
,
L
NICS
T
.
S
p
rin
g
e
r
-
He
id
e
lb
e
rg
,
v
o
l.
96
,
p
p
.
4
9
1
–
5
0
0
,
2
0
1
2
.
[1
3
]
P
a
l
D
.
,
e
t
a
l
.
,
“
M
u
lt
il
e
v
e
l
T
h
re
sh
o
ld
S
e
c
re
t
S
h
a
ri
n
g
in
Distrib
u
ted
Clo
u
d
,”
S
p
ri
n
g
e
r
C
o
mm
u
n
ica
ti
o
n
s
in
Co
m
p
u
ter
a
n
d
In
f
o
rm
a
ti
o
n
S
c
ien
c
e
S
e
rie
s,
CCIS
:
S
e
c
u
rity i
n
C
o
mp
u
ti
n
g
a
n
d
Co
mm
u
n
ica
ti
o
n
s
,
p
p
.
13
–
23
,
2
0
1
5
.
[1
4
]
B
h
a
ril
l
S
.
,
e
t
a
l.
,
“
A
S
e
c
u
re
K
e
y
f
o
r
Clo
u
d
u
sin
g
T
h
r
e
sh
o
l
d
Cr
y
p
to
g
ra
p
h
y
in
Ke
rb
e
ro
s
,”
IJ
CA
T
ra
n
s.
C
lo
u
d
c
o
mp
u
ti
n
g
,
v
o
l/
issu
e
:
79
(
7
)
,
2
0
1
3
.
[1
5
]
Bu
y
y
a
R
.
,
e
t
a
l.
,
“
M
o
d
e
li
n
g
a
n
d
sim
u
latio
n
o
f
sc
a
l
a
b
le
Clo
u
d
c
o
m
p
u
ti
n
g
e
n
v
iro
n
m
e
n
ts
a
n
d
th
e
Clo
u
d
S
im
to
o
lk
it
:
Ch
a
ll
e
n
g
e
s
a
n
d
o
p
p
o
rt
u
n
it
ies
,”
In
ter
n
a
t
io
n
a
l
Co
n
fer
e
n
c
e
Hig
h
Per
fo
rm
a
n
c
e
Co
mp
u
ti
n
g
S
im
u
la
ti
o
n
,
p
p
.
1
–
11
,
2
0
0
9
.
[1
6
]
T
a
n
i
H
.
G
.
a
n
d
Am
r
a
n
i
C
.
E.
,
“
Clo
u
d
c
o
m
p
u
ti
n
g
C
P
U
a
ll
o
c
a
ti
o
n
a
n
d
sc
h
e
d
u
l
in
g
a
lg
o
rit
h
m
s
u
sin
g
Clo
u
d
S
im
sim
u
lato
r
,”
IJ
ECE
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
Co
m
p
u
ter
En
g
i
n
e
e
rin
g
,
v
o
l/
iss
u
e
:
6
(
4
)
,
p
p
.
1
8
6
6
-
1
8
7
9
,
2
0
1
6
.
[1
7
]
P
a
l
S
.
O
.
a
n
d
P
a
tt
n
a
ik
P
.
K.
,
“
A
si
m
u
latio
n
-
b
a
se
d
a
p
p
r
o
a
c
h
to
o
p
ti
m
ize
th
e
e
x
e
c
u
ti
o
n
ti
m
e
a
n
d
m
in
i
m
iza
ti
o
n
o
f
a
v
e
ra
g
e
wa
it
in
g
ti
m
e
u
sin
g
q
u
e
u
in
g
m
o
d
e
l
in
c
lo
u
d
c
o
m
p
u
ti
n
g
e
n
v
iro
n
m
e
n
,”
IJ
ECE
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
El
e
c
trica
l
a
n
d
C
o
mp
u
ter
En
g
in
e
e
rin
g
,
v
o
l/
issu
e
:
6
(2
)
,
p
p
.
7
4
3
-
7
5
0
,
2
0
1
6
.
[1
8
]
NIST
S
P
8
0
0
-
57
,
“
Re
c
o
m
m
e
n
d
a
ti
o
n
f
o
r
Ke
y
M
a
n
a
g
e
m
e
n
t
P
a
rt1
:
G
e
n
e
ra
l
(Re
v
ise
d
)
,”
NIS
T
S
p
e
c
ia
l
P
u
b
li
c
a
ti
o
n
,
p
p
.
8
0
0
-
57
,
2
0
0
7
.
B
I
O
G
RAP
H
I
E
S
O
F
AUTH
O
RS
W
e
e
n
a
J
a
n
r
a
tc
h
a
k
o
o
l
is
P
h
.
D
.
stu
d
e
n
t
a
t
t
h
e
F
a
c
u
lt
y
o
f
In
fo
rm
a
ti
o
n
T
e
c
h
n
o
lo
g
y
,
Kin
g
M
o
n
g
k
u
t’s
Un
iv
e
rsity
o
f
Tec
h
n
o
lo
g
y
No
rth
Ba
n
g
k
o
k
(
KMUT
NB
),
T
h
a
il
a
n
d
.
He
r
m
a
in
a
re
a
o
f
in
tere
stin
g
re
se
a
rc
h
is
Clo
u
d
se
c
u
rit
y
.
S
h
e
re
c
e
iv
e
d
M
.
S
c
.
in
In
f
o
rm
a
ti
o
n
T
e
c
h
n
o
lo
g
y
f
ro
m
KMUT
NB.
S
ira
p
a
t
B
o
o
n
k
r
o
n
g
is
a
n
a
ss
o
c
iate
p
ro
f
e
ss
o
r
a
n
d
a
n
a
ss
o
c
iate
d
e
a
n
o
f
a
c
a
d
e
m
ic
a
n
d
re
se
a
rc
h
a
ffa
irs
a
t
th
e
F
a
c
u
lt
y
o
f
In
f
o
r
m
a
ti
o
n
T
e
c
h
n
o
l
o
g
y
,
Kin
g
M
o
n
g
k
u
t’s
Un
iv
e
rsit
y
o
f
T
e
c
h
n
o
l
o
g
y
No
rth
Ba
n
g
k
o
k
(KMUT
NB),
T
h
a
il
a
n
d
.
He
re
c
e
iv
e
d
h
is
B.
S
c
.
a
n
d
P
h
.
D.
i
n
Co
m
p
u
ter
S
c
ien
c
e
f
ro
m
th
e
De
p
a
rt
m
e
n
t
o
f
Co
m
p
u
ter
S
c
ien
c
e
a
t
th
e
Un
iv
e
rsit
y
o
f
Ba
th
,
UK
.
His
m
a
in
a
re
a
o
f
re
se
a
rc
h
is
in
f
o
r
m
a
ti
o
n
a
n
d
n
e
tw
o
rk
s
e
c
u
rit
y
.
P
re
v
io
u
sly
,
S
irap
a
t
w
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rk
e
d
a
s
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r
e
se
a
r
c
h
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r
a
t
Na
ti
o
n
a
l
El
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c
tro
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ics
a
n
d
Co
m
p
u
ter
T
e
c
h
n
o
lo
g
y
C
e
n
ter
(NECTE
C)
in
T
h
a
il
a
n
d
.
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a
lso
h
a
s
e
x
p
e
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c
e
in
in
d
u
stry
a
s a
p
ro
jec
t
m
a
n
a
g
e
r
a
t
a
n
IBM
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p
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rtn
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c
o
m
p
a
n
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H
e
is
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u
rre
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y
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f
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ll
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lec
tu
re
r
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t
th
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F
a
c
u
lt
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f
In
f
o
rm
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ti
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n
T
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c
h
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o
l
o
g
y
,
KMU
T
NB
a
n
d
is
a
lso
su
p
e
rv
isin
g
se
v
e
r
a
l
P
h
.
D.
st
u
d
e
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ts
a
ll
o
f
w
h
o
m
a
r
e
in
th
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f
ield
o
f
in
f
o
rm
a
ti
o
n
a
n
d
n
e
tw
o
rk
se
c
u
rit
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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N
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Evaluation Warning : The document was created with Spire.PDF for Python.