<s>
The	O
Okamoto	B-Algorithm
–	I-Algorithm
Uchiyama	I-Algorithm
cryptosystem	I-Algorithm
is	O
a	O
public	B-Application
key	I-Application
cryptosystem	I-Application
proposed	O
in	O
1998	O
by	O
Tatsuaki	O
Okamoto	O
and	O
Shigenori	O
Uchiyama	O
.	O
</s>
<s>
Like	O
many	O
public	B-Application
key	I-Application
cryptosystems	I-Application
,	O
this	O
scheme	O
works	O
in	O
the	O
group	O
.	O
</s>
<s>
The	O
public	B-Application
key	I-Application
is	O
then	O
and	O
the	O
private	B-Application
key	I-Application
is	O
.	O
</s>
<s>
A	O
message	O
can	O
be	O
encrypted	O
with	O
the	O
public	B-Application
key	I-Application
as	O
follows	O
.	O
</s>
<s>
An	O
encrypted	O
message	O
can	O
be	O
decrypted	O
with	O
the	O
private	B-Application
key	I-Application
as	O
follows	O
.	O
</s>
