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e
p
r
esen
t
p
ap
er
.
T
h
e
ap
p
licatio
n
w
a
s
in
s
id
e
G.
P
r
o
v
elen
g
io
s
et
al.
[
1
0
]
Vir
tex
-
5
o
p
er
ates
w
it
h
a
m
a
x
i
m
u
m
o
f
2
8
5
MH
z
an
d
a
lar
g
e
s
u
r
f
ac
e
ar
ea
o
f
2
5
7
3
d
is
k
s
.
T
h
e
d
esi
g
n
r
eq
u
ir
es
2
5
clo
ck
c
y
cles
an
d
a
h
i
g
h
th
r
o
u
g
h
p
u
t
o
f
5
.
7
0
Gb
p
s
,
b
u
t
ASP
is
2
.
2
1
,
w
h
ic
h
is
v
er
y
lo
w
d
u
e
to
t
h
e
co
n
s
u
m
p
t
io
n
o
f
a
lar
g
e
ar
ea
.
G
iv
es
t
h
e
r
es
u
lt
s
o
f
i
m
p
le
m
en
t
in
g
Kec
ca
k
5
1
2
d
r
a
w
i
n
g
s
i
m
p
le
m
e
n
ted
in
Vir
te
x
-
5
t
i
m
e
s
b
etter
t
h
an
6
.
3
2
Gb
p
s
s
k
etc
h
s
k
etc
h
es
d
u
e
to
s
h
o
r
ter
clo
ck
c
y
cle
s
[
1
1
]
.
T
h
is
d
esig
n
co
n
s
is
ted
o
f
1
1
9
7
p
lates
an
d
T
P
S
p
r
o
j
ec
t
5
.
2
7
.
E
.
Ho
m
.
et
al
.
T
r
an
s
f
er
f
r
o
m
6
.
5
6
Gb
p
s
to
Vir
tex
-
5
an
d
t
h
e
co
r
r
esp
o
n
d
in
g
T
OS
5
.
3
7
[
1
2
]
.
P
r
ev
io
u
s
l
y
r
ep
o
r
ted
p
r
o
j
ec
ts
d
o
n
o
t
o
f
f
er
an
e
f
f
ec
tiv
e
r
eso
u
r
ce
s
o
lu
tio
n
b
ec
au
s
e
th
ese
d
esig
n
s
u
s
e
m
an
y
s
lid
es
t
h
at
ca
n
b
e
ef
f
ec
ti
v
el
y
r
ed
u
ce
d
.
T
h
ese
p
r
o
j
ec
ts
h
av
e
a
v
er
y
lo
w
T
P
S a
n
d
m
u
s
t b
e
i
m
p
r
o
v
ed
.
3.
DE
T
AI
L
ANA
L
YS
I
S O
F
K
E
CCAK
Kecca
k
h
as
b
ee
n
id
en
ti
f
ied
a
s
a
n
e
w
al
g
o
r
ith
m
f
r
o
m
3
to
SH
A
-
3
[
3
]
an
n
o
u
n
ce
d
b
y
NI
ST
.
Gilles
Va
n
Ass
c
h
e,
B
er
to
n
i
G
u
id
o
,
J
o
an
Dae
m
e
n
Mic
h
ae
l
P
ee
ter
s
ar
e
w
o
r
k
ed
f
o
r
d
ev
elo
p
m
e
n
t
o
f
a
h
as
h
f
u
n
ctio
n
Kec
ca
k
.
Kec
ca
k
-
F
is
a
b
asic
co
m
p
o
n
en
t
o
f
s
tan
d
ar
d
Kec
ca
k
h
ash
co
m
p
o
n
e
n
t
s
an
d
s
u
p
p
o
r
ts
h
as
h
v
ar
iab
le
o
n
2
2
4
b
its
,
2
5
6
b
its
,
3
8
4
b
its
a
n
d
5
1
2
b
its
.
I
t
c
o
n
s
is
t
s
o
f
a
r
o
u
n
d
n
u
m
b
er
an
d
ea
ch
r
o
u
n
d
is
a
c
o
m
b
i
n
atio
n
o
f
lo
g
ical
o
p
er
atio
n
s
a
n
d
p
er
m
u
tatio
n
s
.
T
h
e
er
r
o
r
is
ca
u
s
e
d
b
y
a
f
u
n
g
al
f
u
n
ctio
n
w
i
th
m
e
m
b
er
s
o
f
Kec
ca
k
[
r
,
c]
.
T
h
i
s
is
cla
s
s
i
f
ied
ac
co
r
d
in
g
to
t
h
is
ex
tr
a
f
u
n
ctio
n
,
s
u
ch
as
i
n
ter
est
(
s
)
an
d
ca
p
ac
it
y
(
c)
.
T
h
e
f
u
n
ctio
n
o
f
th
e
ad
d
itiv
e
p
er
m
u
tat
io
n
s
+
C
to
Kec
ca
k
an
d
is
li
m
ited
to
th
e
v
al
u
e
in
d
icate
d
b
y
2
5
,
5
0
,
1
0
0
,
2
0
0
,
4
0
0
,
8
0
0
,
1
6
0
0
.
T
im
Kec
ca
k
m
o
d
e
[
1
6
0
0
]
in
tr
o
d
u
ce
s
t
h
e
SH
A
-
3
p
r
o
p
o
s
itio
n
s
w
it
h
v
al
u
es
o
th
er
th
an
'R
'
an
d
'C
'
.
[
1
6
0
0
]
w
as c
h
o
s
e
n
to
i
n
cr
ea
s
e
th
e
n
u
m
b
er
o
f
c
y
c
les to
p
r
o
v
i
d
e
a
b
etter
s
af
et
y
m
ar
g
in
.
Fo
r
a
h
as
h
v
al
u
e
o
f
2
5
6
b
its
=
1
0
8
8
r
c
=
5
1
2
.
Fo
r
th
e
5
1
2
-
b
it
h
as
h
o
u
tp
u
t,
th
e
v
al
u
es
o
f
R
an
d
C
,
r
esp
ec
tiv
el
y
5
7
6
a
n
d
1
0
2
4
.
T
h
e
g
r
o
u
n
d
m
atr
i
x
co
m
p
r
is
es
1
6
0
0
b
its
o
f
b
r
ig
h
t
n
es
s
o
f
6
4
b
its
o
f
m
a
tr
ix
5
x
5
w
o
r
d
s
.
I
n
itiall
y
,
th
e
b
lo
ck
in
g
m
es
s
a
g
es
m
u
s
t
g
o
th
r
o
u
g
h
a
n
in
v
er
s
io
n
p
r
o
ce
d
u
r
e,
s
o
th
is
ac
tio
n
is
th
e
last
to
co
m
e
f
ir
s
t
an
d
t
h
e
f
ir
s
t
ac
tio
n
m
u
s
t
b
e
th
e
last
.
E
ac
h
o
f
t
h
e
Kec
ca
k
co
m
p
r
es
s
io
n
f
u
n
ctio
n
s
co
n
s
is
ts
o
f
2
4
tu
r
n
s
an
d
w
h
ic
h
in
t
u
r
n
is
d
iv
id
ed
i
n
to
f
i
v
e
p
h
ase
s
,
n
a
m
el
y
T
h
eta
(
Θ
)
,
r
h
o
(
ρ
)
an
d
P
i (
π)
,
C
h
i (
χ)
I
o
t
a
(
i)
d
escr
ib
es th
e
b
o
tto
m
o
f
t
h
e
p
ag
e
.
3
.
1
.
T
het
a
(
Θ
)
T
h
e
T
h
eta
f
u
n
ctio
n
co
n
s
i
s
ts
o
f
t
h
r
ee
eq
u
atio
n
s
w
it
h
s
i
m
p
le
XOR
m
o
v
e
m
e
n
ts
a
n
d
b
it
tr
an
s
f
er
s
.
T
h
e
XOR
o
p
er
atio
n
r
ef
er
s
to
r
o
w
s
(
a
s
et
o
f
6
4
b
its
a
lo
n
g
x
an
d
at
co
n
s
ta
n
t
co
o
r
d
in
ates)
f
o
r
ea
ch
s
et
o
f
f
iv
e
o
u
tp
u
t r
o
w
m
atr
ice
s
.
(
1
)
I
n
itiall
y
,
th
e
lef
t
p
a
th
is
u
s
ed
f
o
r
f
iv
e
o
f
t
h
ese
o
u
tp
u
t
lin
es,
w
it
h
t
h
e
last
lin
e
i
n
th
e
f
ir
s
t
an
d
s
ec
o
n
d
lin
e
b
ei
n
g
t
h
e
la
s
t
li
n
e
o
f
(
2
)
.
Af
ter
m
o
v
in
g
,
s
o
th
a
t
t
h
e
f
ir
s
t
p
ath
to
th
e
last
n
u
m
b
er
an
d
t
h
e
o
t
h
er
in
t
h
e
f
ir
s
t
tr
ac
k
,
th
e
n
th
e
ch
a
n
g
e
in
w
h
ic
h
a
cir
cu
lar
v
ar
iatio
n
t
o
th
e
le
f
t
is
ap
p
lied
at
least
o
n
ea
ch
tr
a
ck
o
f
th
e
tr
ac
k
w
a
s
to
m
a
k
e
t
h
e
p
o
s
itio
n
b
in
ar
y
f
r
o
m
a
cir
cu
lar
li
n
e
o
n
th
e
r
ig
h
t,
(
3
)
T
h
e
o
n
l
y
XOR
co
n
t
en
t
d
o
es
n
o
t
m
atc
h
th
e
in
p
u
t
-
i
n
p
u
t
m
atr
ix
a
n
d
th
e
o
u
tp
u
t p
ath
o
b
tain
ed
f
r
o
m
(
2
)
.
(
2)
(
3
)
3
.
2
.
Rho
(
p)
a
nd
P
i (
π
)
T
h
e
f
ir
s
t
t
w
o
p
h
ases
R
h
o
(
ρ
)
an
d
p
i
(
π)
ca
n
b
e
ca
lcu
lat
ed
a
s
(
4
)
,
in
w
h
ich
a
n
u
m
b
er
o
f
5
x
5
e
m
er
g
e
n
c
y
s
er
v
ice
s
f
o
r
th
e
co
m
p
o
s
itio
n
o
f
th
e
s
ta
te
'A'
i
s
ca
lcu
lated
.
Giv
e
n
t
h
e
o
p
er
atio
n
R
h
o
(
ρ
)
an
d
P
i
(
π)
an
d
all
2
5
tr
ac
k
s
,
o
r
g
a
n
izati
o
n
"
A
"
,
co
n
n
ec
ted
to
th
e
c
ir
cle,
w
a
s
a
n
u
m
b
er
o
f
f
i
x
ed
v
alu
e
s
i
n
r
esp
o
n
s
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
R
ec
o
n
f
i
g
u
r
ab
le
&
E
m
b
ed
d
ed
Sy
s
t
I
SS
N:
2089
-
4864
5
1
2
b
it
-
S
HA
3
d
esig
n
a
p
p
r
o
a
c
h
a
n
d
imp
leme
n
ta
tio
n
o
n
field
p
r
o
g
r
a
mma
b
le…
(
S.
N
ee
lima
)
171
to
th
e
"
x
"
co
o
r
d
in
ates
an
d
r
o
tatin
g
"
Y"
,
R
[
x
,
y
]
en
ter
s
t
h
e
tab
le
in
[
3
]
(
th
e
s
tep
is
also
c
alled
(
ρ
)
)
an
d
th
en
f
o
llo
w
s
t
h
e
tr
ac
k
s
w
it
h
d
if
f
e
r
en
t
s
etti
n
g
s
o
f
th
e
n
e
w
s
er
i
es
B
(
ca
lled
s
tep
P
í
(
π)
)
.
N
o
te
th
at
all
i
n
d
ex
e
s
in
m
o
d
u
le
5
ar
e
ac
ce
p
ted
.
(
4
)
3
.
3
.
Chi (
X
)
ph
a
s
e
T
h
e
C
h
i
(
X
)
p
h
ase
is
d
r
iv
e
n
,
i
.
e.
a
6
4
-
b
it
w
o
r
d
an
d
m
an
ip
u
l
ates
th
e
co
m
p
o
s
itio
n
B
o
b
tain
ed
in
s
tep
R
h
o
(
ρ
)
a
n
d
P
i
(
π)
,
an
d
p
lace
s
its
el
f
i
n
m
a
n
y
s
tate
s
A
ca
n
b
e
s
aid
to
h
av
e
th
e
p
h
ase
(
x
)
is
f
o
r
th
e
p
at
h
ac
ce
s
s
to
th
e
p
lace
[
x
,
y
]
an
d
t
h
e
lo
g
ical
p
ath
XO
R
to
th
e
a
d
d
r
ess
[
x
+1
,
y
]
an
d
th
e
s
i
te
n
u
m
b
er
[
x
+
2
,
e]
.
T
h
e
f
o
llo
w
i
n
g
eq
u
atio
n
d
escr
i
b
es th
e
f
u
n
ctio
n
o
f
C
h
i (
x
)
.
(
5
)
3
.
4
.
I
o
t
a
(
i
)
ph
a
s
e
Step
i
is
th
e
s
i
m
p
lest
s
tep
o
f
K
ec
ca
k
's
al
g
o
r
ith
m
.
I
t
o
n
l
y
c
h
an
g
es
XO
R
f
o
r
a
co
n
s
tan
t
6
4
-
b
i
t
o
p
er
atio
n
d
ef
in
ed
in
[
3
]
w
it
h
a
r
o
w
o
f
th
e
m
atr
i
x
[
0
,
0
]
o
f
th
e
n
e
w
s
tate
"
A
"
.
T
h
e
o
p
e
r
atio
n
o
f
a
h
a
s
h
m
o
d
e
o
f
K
ec
ca
k
at
th
r
ee
d
if
f
er
en
t
lev
e
ls
,
in
itia
lizatio
n
,
i
s
th
e
f
ir
s
t
to
b
e
ab
s
o
r
b
ed
an
d
f
in
all
y
p
r
in
t
ed
as
in
F
ig
u
r
e
1
.
T
h
e
KE
C
C
A
K
o
f
f
s
e
ts
C
y
clic
s
h
i
f
t
s
o
f
R
(
X,Y
)
a
s
h
o
w
n
i
n
T
ab
le
1
.
(
6
)
T
ab
le
1
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Fig
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ase
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itectu
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n
tr
o
l
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th
e
s
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g
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(
C
tr
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)
.
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I
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I
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Fig
u
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e
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e
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ch
i
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s
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e
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ter
2
4
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as
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eg
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iz
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ata
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te.
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last
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m
p
o
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e
n
t
o
f
t
h
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ar
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itect
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r
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is
th
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i
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ter
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ed
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ple
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4
.
1
.
1
.
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het
a
-
s
t
ep
(
Θ
)
T
h
e
th
eta
-
s
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n
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is
t
s
o
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th
r
ee
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ai
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th
e
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r
m
o
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m
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is
o
n
s
w
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e
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u
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t
w
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r
k
m
ai
n
l
y
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it
s
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h
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XOR
(
1
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o
cc
u
p
ies
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et
w
ee
n
t
h
e
6
4
-
b
it
p
ath
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ea
ch
r
o
w
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ch
tr
ac
k
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ch
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n
e,
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t p
ar
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s
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lied
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ed
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it XO
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allel
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atio
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ak
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d
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ter
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h
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al
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atter
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ain
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at
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ter
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et
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n
t
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li
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to
t
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s
tate
m
atr
ix
i
n
p
u
t
A
[
x
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y
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to
r
esh
a
p
e
an
ar
r
a
y
o
f
5
x
5
s
ta
tes
A
[
x
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y
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.
E
ac
h
o
p
er
atio
n
is
p
er
f
o
r
m
ed
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n
m
o
d
u
le
5
.
4
.
1
.
2
.
I
nte
g
ra
t
ed
Rho
(
ρ
)
,
P
i
(
π
)
a
nd
chi (
χ
)
R
eq
u
ir
es
R
h
o
p
r
in
cip
le
an
d
p
i
p
er
m
u
tatio
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an
d
ea
c
h
p
ath
u
s
ed
to
m
a
k
e
a
c
y
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li
c
v
ar
iatio
n
o
f
a
n
u
m
b
er
b
y
t
h
e
c
y
c
lical
s
h
if
t
o
f
f
ix
ed
o
f
f
s
e
t
in
SH
A
-
3
F
I
P
S
P
U
B
2
0
2
I
f
th
is
p
h
a
s
e
is
ap
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w
e
h
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e
4
8
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tr
a
la
y
er
s
f
o
r
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o
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n
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lo
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s
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d
o
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v
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to
cr
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te
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ical
s
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s
w
it
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C
h
i
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h
o
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d
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to
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ak
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ig
n
s
.
W
e
h
av
e
all
t
h
e
n
ec
es
s
ar
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ca
lcu
latio
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s
f
o
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th
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R
h
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d
Han
d
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h
ases
a
n
d
w
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h
a
v
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et
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p
t
h
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cir
cu
lar
c
h
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g
e
o
n
ea
ch
s
tat
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s
m
a
tr
ix
p
at
h
o
b
tain
ed
w
i
th
th
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s
tep
o
u
tp
u
t
an
d
m
o
v
e
it
a
f
ter
ca
lcu
lati
n
g
its
n
e
w
p
o
s
it
io
n
ac
co
r
d
in
g
to
(
4
)
.
Fo
r
ex
a
m
p
le,
f
o
r
X
=
1
,
an
d
Y
=
2
,
(
4
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ca
n
b
e
w
r
itte
n
as
:
(
7
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T
h
e
v
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o
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r
(
1
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2
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1
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co
r
r
esp
o
n
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h
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et
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le
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2
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m
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th
er
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o
r
e
(
7
)
is
co
n
v
er
ted
to
(
8
)
.
(
8
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t
J
R
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o
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f
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ab
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SS
N:
2089
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4864
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173
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r
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y
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w
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.
(
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(
1
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e
h
av
e
d
o
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e
all
c
y
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l
r
o
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a
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th
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an
d
t
h
en
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p
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h
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ab
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v
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lo
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h
n
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m
ize
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r
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h
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m
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en
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tio
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ated
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ig
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4
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s
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2
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m
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la
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h
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p
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ts
h
av
e
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ee
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m
p
le
m
en
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n
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SI
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lin
x
De
s
ig
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y
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E
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p
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esig
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d
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x
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ted
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n
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tex
Vir
te
x
5
(
x
c5
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l
x
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3
0
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-
2
f
f
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8
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.
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ac
h
p
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ase
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-
3
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m
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le
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e
n
ted
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s
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m
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u
le.
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h
ese
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o
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les
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in
cl
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ed
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h
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m
ai
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t
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etail
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h
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u
tp
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t o
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tp
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t
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m
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v
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f
ied
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y
S
H
A
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3
in
th
e
P
u
b
2
0
2
[
3
]
s
tate
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in
e
th
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p
r
ed
ef
i
n
ed
tes
t
v
ec
to
r
s
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n
ed
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o
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test
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n
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e
E
q
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tp
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t
s
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ar
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s
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ab
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2
s
h
o
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s
t
h
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r
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f
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h
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m
p
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m
s
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f
r
eq
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en
c
y
,
f
lo
w
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ate
(
T
P
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an
d
zo
n
e
cir
cu
m
f
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(
A
SP
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in
t
h
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f
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m
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f
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ed
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ct
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n
s
.
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h
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o
p
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atin
g
f
r
eq
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n
c
y
is
th
e
h
i
g
h
est r
ea
c
h
ed
3
0
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0
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z
w
h
ic
h
h
as a
n
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u
tp
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t o
f
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2
4
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it/
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L
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n
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h
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p
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s
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3
FP
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ar
d
w
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at
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ter
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r
eq
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n
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y
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p
r
o
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s
s
in
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ca
p
ac
it
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(
T
P
)
an
d
d
is
c
f
ee
d
th
r
o
u
g
h
(
T
P
S)
in
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ab
le
2
.
Ou
r
m
ain
g
o
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s
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g
m
i
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m
al
f
lo
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in
g
i
n
o
u
r
d
esig
n
w
it
h
T
P
w
as
e
n
o
u
g
h
to
g
et
t
h
e
b
est
GST
.
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h
er
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is
al
w
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s
an
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x
ch
a
n
g
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b
et
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th
e
u
s
e
o
f
t
h
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ar
ea
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d
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,
s
o
w
e
h
a
v
e
m
ad
e
an
o
t
h
er
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a
p
ar
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alu
a
te
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ec
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n
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s
o
f
th
e
p
r
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j
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ts
.
T
h
e
d
esig
n
i
s
d
escr
ib
ed
in
S.
Ker
c
k
h
o
f
e
t
al.
T
h
e
m
i
n
i
m
u
m
n
u
m
b
er
o
f
ter
r
ito
r
ial
s
o
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r
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s
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n
d
th
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n
u
m
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cle
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1
5
4
h
o
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r
s
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s
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s
t
h
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as
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v
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m
ak
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g
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t
les
s
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P
th
an
o
th
er
p
r
o
j
ec
ts
[
6
]
.
Mo
r
eo
v
er
,
th
is
d
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g
n
is
T
P
S .
4
2
5
,
w
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h
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n
f
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io
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to
th
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o
t
h
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lt
s
in
th
e
tab
le
[
7
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.
B
etter
th
an
p
r
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u
s
p
r
o
jects,
b
u
t
th
e
m
ater
ia
l
r
eso
u
r
ce
s
ar
e
m
u
c
h
lar
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er
[
8
]
.
T
h
e
G
ST
o
f
th
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d
esig
n
s
is
2
.
9
9
an
d
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8
7
9
r
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co
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p
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[
1
1
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.
S
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o
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5
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2
7
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3
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,
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s
[
1
2
]
.
T
h
e
ab
o
v
e
co
m
p
ar
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o
n
s
h
o
w
s
th
at
o
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r
d
es
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h
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p
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A
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p
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m
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tatio
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f
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P
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d
A
SP
b
ec
au
s
e
o
u
r
d
esig
n
o
f
f
er
s
t
h
e
b
est ASP
o
f
3
0
.
1
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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I
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3
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er
2019
: 1
6
9
–
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7
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174
T
ab
le
2
.
R
esu
lts
co
m
p
ar
i
s
o
n
w
it
h
Kec
ca
k
-
5
1
2
m
o
d
el
I
mp
l
e
me
n
t
a
t
i
o
n
D
e
v
i
c
e
s
A
r
e
a
F
r
e
q
u
e
n
c
y
(
M
H
z
)
T
P
(
G
b
p
s)
T
P
S
O
u
r
D
e
si
g
n
V
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r
t
e
x
-
5
2
4
0
3
0
1
.
0
2
7
.
2
2
4
3
0
.
1
S
.
K
e
r
c
k
h
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f
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t
a
l
.
V6
1
8
8
2
8
5
0
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0
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0
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4
2
5
A
.
A
k
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l
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V4
2
0
2
4
1
4
3
6
.
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2
.
9
9
K
r
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s
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a
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l
.
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1
2
2
9
2
3
8
.
4
1
.
0
8
0
5
0
.
8
7
9
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.
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s
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2
5
7
3
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8
5
5
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7
0
2
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2
1
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a
t
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6
3
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1
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6
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3
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2
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o
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a
l
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1
2
2
0
-
6
.
5
6
5
.
3
7
5.
CO
NCLU
SI
O
N
I
n
th
is
w
o
r
k
,
w
e
w
ill
p
r
ese
n
t
t
h
e
SH
A
3
-
5
1
2
h
ar
d
w
ar
e
ed
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p
r
o
j
ec
t.
W
e
h
av
e
m
ai
n
tai
n
ed
zo
n
e
-
to
-
f
lo
w
n
eg
o
tia
tio
n
s
,
w
i
th
o
u
r
d
esig
n
s
h
o
w
i
n
g
t
h
e
b
est
p
o
s
s
ib
le
r
esu
lt
s
in
ter
m
s
o
f
ti
m
e
an
d
ti
m
e
co
m
p
ar
ed
to
p
r
ev
io
u
s
l
y
r
ep
o
r
ted
r
esu
lts
.
Ou
r
lo
g
ical
o
p
ti
m
izatio
n
co
m
b
in
e
s
th
e
t
h
r
ee
tr
an
s
f
o
r
m
a
tio
n
s
,
r
h
o
,
p
ie
an
d
ch
i
tr
an
s
f
o
r
m
atio
n
s
t
u
d
ies
t
h
e
p
ar
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m
a
x
i
m
u
m
in
al
g
o
r
ith
m
s
.
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h
is
r
ef
o
r
m
is
u
s
u
all
y
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ed
u
ce
d
b
y
t
h
e
to
tal
L
A
T
AR
,
w
h
ic
h
s
i
g
n
i
f
ica
n
tl
y
i
m
p
r
o
v
es t
h
e
p
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f
o
r
m
an
ce
o
f
t
h
e
s
y
s
te
m
.
RE
F
E
R
E
NC
E
S
[1
]
X
.
W
a
n
g
,
D.
F
e
n
g
,
X
.
Lai,
a
n
d
H.
Yu
,
“
Co
ll
isio
n
s
f
o
r
h
a
sh
f
u
n
c
ti
o
n
s
m
d
4
,
m
d
5
,
h
a
v
a
l
-
1
2
8
a
n
d
rip
e
m
d
,
”
IA
CR,
A
u
g
u
st 2
0
0
4
.
[2
]
Na
ti
o
n
a
l
In
st
it
u
te
o
f
S
tan
d
a
r
d
s an
d
T
e
c
h
n
o
lo
g
y
(n
ist),
“
Cry
p
to
g
ra
p
h
ic h
a
sh
a
lg
o
ri
th
m
c
o
m
p
e
ti
ti
o
n
,
”
2
0
0
7
.
[3
]
F
I
P
S
-
2
0
2
,
“
F
e
d
e
ra
l
i
n
f
o
rm
a
ti
o
n
p
ro
c
e
ss
i
n
g
sta
n
d
a
rd
s p
u
b
li
c
a
ti
o
n
f
ip
s
-
2
0
2
,
se
c
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re
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a
sh
a
lg
o
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h
m
-
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(sh
a
-
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),
”
2
0
1
4
.
[4
]
X
il
i
n
x
,
“
Virtex
2
.
5
V f
ield
p
r
o
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ra
m
m
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s
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.
[5
]
F
.
R.
He
n
rq
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e
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,
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.
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z
,
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.
S
a
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,
a
n
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C.
K.
Ko
c
,
Cry
p
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ra
p
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lg
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h
m
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Re
c
o
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f
ig
u
r
a
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Ha
rd
w
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.
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ig
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ls
a
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d
C
o
m
m
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ica
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T
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c
h
n
o
l
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g
y
,
S
p
rin
g
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r,
2
0
0
7
.
[6
]
S
.
Ke
rc
k
h
o
f
,
F
.
Du
rv
a
u
x
,
N.V
.
Ch
a
rv
il
lo
n
,
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.
Re
g
a
z
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i,
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M
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e
Do
rm
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a
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rt,
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c
o
m
p
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t
F
P
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im
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le
m
e
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tatio
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s o
f
th
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f
iv
e
sh
a
-
3
f
in
a
li
sts,”
S
p
rin
g
e
r
Be
rli
n
He
id
e
l
b
e
rg
,
v
o
l.
7
0
7
9
,
p
p
.
2
1
7
–
2
3
3
,
2
0
1
1
.
[7
]
Ak
in
,
A
.
Ay
su
,
O.C.
Ul
u
se
l,
E.
S
a
v
a
s,
“
Eff
i
c
ien
t
h
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rd
w
a
re
im
p
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m
e
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tatio
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s
o
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ig
h
t
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ro
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g
h
p
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t
s
h
a
-
3
c
a
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d
id
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tes
k
e
c
c
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k
,
lu
ff
a
a
n
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b
lu
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m
id
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ig
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t
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ish
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sin
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le
-
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lt
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sh
in
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,
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A
CM
,
p
p
.
1
6
8
–
1
7
7
,
2
0
1
0
.
[8
]
K.
Ga
j,
E.
Ho
m
sir
ik
a
m
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l,
a
n
d
M
.
Ro
g
a
w
s
k
i,
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m
p
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n
siv
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c
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m
p
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h
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rd
w
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ro
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2
sh
a
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3
c
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d
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tes
w
it
h
5
1
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b
it
o
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n
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f
ield
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m
m
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b
le
g
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t
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rra
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s,”
2
n
d
S
HA
-
3
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n
d
i
d
a
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Co
n
fer
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c
e
,
p
p
2
3
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2
4
,
A
u
g
u
st 2
0
1
0
.
[9
]
B.
Ba
ld
w
in
,
N.
Ha
n
ley
,
M
.
Ha
m
il
to
n
,
L
.
L
u
,
A
.
By
rn
e
,
M
.
ON
e
il
l,
a
n
d
W
.
P
.
M
a
rn
a
n
e
,
“
F
P
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A
i
m
p
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m
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tatio
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s
o
f
th
e
ro
u
n
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tw
o
sh
a
-
3
c
a
n
d
id
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tes
,
”
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h
e
se
c
o
n
d
S
HA
-
3
Ca
n
d
i
d
a
te
Co
n
f
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re
n
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e
,
2
0
1
0
.
[1
0
]
G
.
P
ro
v
e
len
g
io
s,
P
.
Kitso
s,
N.
S
k
lav
o
s,
a
n
d
C.
Ko
u
lam
a
s,
“
F
P
G
A
-
b
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se
d
d
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g
n
a
p
p
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c
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sh
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,
”
1
5
t
h
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u
ro
mic
ro
C
o
n
fer
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n
c
e
,
p
p
.
6
4
8
–
6
5
3
,
2
0
1
2
.
[1
1
]
K.
L
a
ti
f
,
M
.
M
.
Ra
o
,
A
.
A
z
iz,
a
n
d
A
.
M
a
h
b
o
o
b
,
“
e
f
f
ici
e
n
t
h
a
rd
w
a
re
im
p
le
m
e
n
tatio
n
s
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d
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rd
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rf
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r
m
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c
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v
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lu
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ti
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o
f
sh
a
-
3
f
in
a
li
sts,”
i
n
P
ro
c
e
e
d
in
g
o
f
3
rd
S
HA
-
3
Ca
n
d
id
a
te Co
n
fer
e
n
c
e
,
m
a
rc
h
2
0
1
2
.
[1
2
]
E.
Ho
m
sirik
a
m
o
l,
M
.
Ro
g
a
w
s
k
i,
a
n
d
K.
G
a
j,
“
c
o
m
p
a
rin
g
h
a
rd
w
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r
e
p
e
rf
o
r
m
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n
c
e
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ro
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n
d
3
sh
a
-
3
c
a
n
d
id
a
tes
u
si
n
g
m
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lt
ip
le
h
a
rd
w
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re
a
rc
h
it
e
c
tu
re
s
in
x
il
in
x
a
n
d
a
lt
e
ra
f
p
g
a
s,”
ECRYP
T
II
Ha
sh
W
o
rk
sh
o
p
,
p
p
.
1
–
1
5
,
1
9
-
2
0
M
a
y
2
0
1
1
.
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