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Apr
27
answered Cipher Feedback Mode
Apr
26
comment Can RSA encryption produce collisions?
@Ashwin: Well, an outline of a proof would look like: if $GCD(e, p-1)=1$, and if $m_1 \neq m_2 \mod p$, then $m_1^e \neq m_2^e \mod p$ (note: the proof of this relies on the primality of $p$). And, by symmetry, if $GCD(e, q-1)=1$, and if $m_1 \neq m_2 \mod q$, then $m_1^e \neq m_2^e \mod q$. Now, if we combine these two statements using the Chinese Remainder Theorem, we get: if $GCD(e, lcm(p-1, q-1))=1$ and if $m_1 \neq \m_2 \mod pq$, then $m_1^e \neq m_2^e \mod pq$. Take the converse of that statement, and that's the statement you're asking about
Apr
22
answered How secure is the Vigenère cipher in file encryption if you encrypt the password first?
Apr
22
revised How secure is the Vigenère cipher in file encryption if you encrypt the password first?
edited tags
Apr
20
reviewed Approve suggested edit on Proving item association without revealing one of the associated items
Apr
20
answered Distributed knowledge problem
Apr
20
comment Distributed knowledge problem
There's something missing in this problem statement; you said that each card represents one of the movies; what does that actually mean? Does it mean that Alice and Bob can jointly open one of the cards? If so, how much trust at this point do you put in Alice and Bob to be honest during the reveal? Also, do you care if, say, Bob knows that a particular card is from Alice, or does that need to be hidden as well?
Apr
20
comment Proving item association without revealing one of the associated items
Yes, one the the basic assumptions (Collision Resistance) of secure hash functions is that it is infeasible to find two different values X, Y with Hash(X) = Hash(Y)
Apr
20
comment Proving item association without revealing one of the associated items
Well, as long as the R value is selected randomly, and has enough possible values that searching through them is infeasible, that should be fine.
Apr
20
answered Proving item association without revealing one of the associated items
Apr
20
revised How to solve MixColumns
Gave explicit evaluation of the example the submitter gave
Apr
19
revised How to solve MixColumns
Extended the answer to cover the next thing the OP is likely to stumble against
Apr
19
answered How to solve MixColumns
Apr
19
reviewed Approve suggested edit on hmac tag wiki excerpt
Apr
19
reviewed Approve suggested edit on hmac tag wiki
Apr
18
revised How much bigger does a precomputed lookup table get when salt is added?
edited body
Apr
18
comment Can RSA encryption produce collisions?
@HenrickHellström: from the 'nits-r-us' department, the example $e=3$, $N=91$, $p=7$, $q=13$, $m_1=5$, $m_2=6$ shows $e|p-1$ and $m_1^e \equiv m_2^e (\bmod N)$ but $m_1 \neq m_2 (\bmod q)$. On the other hand, if you add the condition $gcd(e, q-1) = 1$, then your statement is true.
Apr
17
answered How much bigger does a precomputed lookup table get when salt is added?
Apr
17
comment Security equivalence proofs for breaking RSA
Actually, no, that paper doesn't claim that 'if you can break RSA (that is, find the $e$'th roots modulo a composite of unknown factorization), you can factor the composite.' Instead, the paper shows that, given $N$, $e$ and $d$, you can factor $N$ (which we knew already with the probabilistic algorithm). The paper does not show that 'if you could break RSA, you can recover $d$'.
Apr
17
comment Most frequently used digital signature schemes in the recent years
In my experience, the signature scheme of choice if you want to minimize the signature size is ECDSA. I personally haven't seen DSA used since the RSA patent expired.