January 8, 2002
Practical Aspects of Modern Cryptography
Can Alice Cheat?
•
Randomly pick
large
integers
p
,
q
,
r
,
and
s
.
•
Send Bob
N
= (4
p
+1)(4
q
+1)(4
r
–1)(4
s
–1)
.
•
If Bob guesses
–1
, send
P = (4
p
+1)(4
q
+1)
and
Q = (4
r
–1)(4
s
–1)
.
•
If Bob guesses
+
1
,
send
P = (4
p
+1)(4
r
–1)
and
Q = (4
q
+1)(4
s
–1)
.