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Kyber
Symbols
KyberDecapsulate
KyberEncapsulate
KyberKeyGen
ToneAr`Kyber`
K
y
b
e
r
K
e
y
G
e
n
K
y
b
e
r
K
e
y
G
e
n
[
l
e
v
e
l
]
g
e
n
e
r
a
t
e
s
a
n
M
L
-
K
E
M
k
e
y
p
a
i
r
a
t
t
h
e
s
p
e
c
i
f
i
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d
s
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c
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i
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l
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v
e
l
.
D
e
t
a
i
l
s
a
n
d
O
p
t
i
o
n
s
Examples
(
4
)
Basic Examples
(
1
)
Generate a Kyber-768 key pair:
I
n
[
1
]
:
=
k
e
y
s
=
K
y
b
e
r
K
e
y
G
e
n
[
7
6
8
]
O
u
t
[
1
]
=
P
u
b
l
i
c
K
e
y
P
u
b
l
i
c
K
e
y
T
y
p
e
:
M
L
-
K
E
M
P
a
r
a
m
e
t
e
r
s
e
t
:
7
6
8
P
u
b
l
i
c
k
e
y
s
i
z
e
:
9
4
7
2
b
,
P
r
i
v
a
t
e
K
e
y
P
r
i
v
a
t
e
K
e
y
T
y
p
e
:
M
L
-
K
E
M
P
a
r
a
m
e
t
e
r
s
e
t
:
7
6
8
P
r
i
v
a
t
e
k
e
y
s
i
z
e
:
1
9
2
0
0
b
Extract the public and private keys:
I
n
[
2
]
:
=
k
e
y
s
[
"
P
u
b
l
i
c
K
e
y
"
]
O
u
t
[
2
]
=
P
u
b
l
i
c
K
e
y
T
y
p
e
:
M
L
-
K
E
M
P
a
r
a
m
e
t
e
r
s
e
t
:
7
6
8
P
u
b
l
i
c
k
e
y
s
i
z
e
:
9
4
7
2
b
I
n
[
3
]
:
=
k
e
y
s
[
"
P
r
i
v
a
t
e
K
e
y
"
]
O
u
t
[
3
]
=
P
r
i
v
a
t
e
K
e
y
T
y
p
e
:
M
L
-
K
E
M
P
a
r
a
m
e
t
e
r
s
e
t
:
7
6
8
P
r
i
v
a
t
e
k
e
y
s
i
z
e
:
1
9
2
0
0
b
Generate a key pair using the default security level (768):
I
n
[
4
]
:
=
K
y
b
e
r
K
e
y
G
e
n
[
]
O
u
t
[
4
]
=
P
u
b
l
i
c
K
e
y
P
u
b
l
i
c
K
e
y
T
y
p
e
:
M
L
-
K
E
M
P
a
r
a
m
e
t
e
r
s
e
t
:
7
6
8
P
u
b
l
i
c
k
e
y
s
i
z
e
:
9
4
7
2
b
,
P
r
i
v
a
t
e
K
e
y
P
r
i
v
a
t
e
K
e
y
T
y
p
e
:
M
L
-
K
E
M
P
a
r
a
m
e
t
e
r
s
e
t
:
7
6
8
P
r
i
v
a
t
e
k
e
y
s
i
z
e
:
1
9
2
0
0
b
S
c
o
p
e
(
1
)
A
p
p
l
i
c
a
t
i
o
n
s
(
1
)
P
o
s
s
i
b
l
e
I
s
s
u
e
s
(
1
)
S
e
e
A
l
s
o
K
y
b
e
r
E
n
c
a
p
s
u
l
a
t
e
▪
K
y
b
e
r
D
e
c
a
p
s
u
l
a
t
e
▪
G
e
n
e
r
a
t
e
A
s
y
m
m
e
t
r
i
c
K
e
y
P
a
i
r
R
e
l
a
t
e
d
L
i
n
k
s
▪
N
I
S
T
P
o
s
t
-
Q
u
a
n
t
u
m
C
r
y
p
t
o
g
r
a
p
h
y
"
"