Questions tagged [provable-security]

A primitive or protocol with provable security is accompanied by a mathematical proof that shows how to reduce the security claims about the protocol to a set of assumptions.

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0answers
63 views

Is there a standard definition of non-malleability for the encryption schemes?

I find some different definitions of non-malleability for the encryption schemes. They may be equivalent, but I am not sure which one is better or if there is a standard definition. I give two ...
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Are encryption algorithms with fixed-point free permutations inherently flawed?

Flaw in Enigma One of the Enigma machine's flaw was the derangement (fixed-point free permutation) of the produced ciphertext, or simply put: No plaintext-letter can be enciphered to itself. See this ...
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103 views

Show that CPA-security implies security against plaintext recovery

Consider the following experiment: $k = Gen(1^n)$ $m \stackrel{u}{\in} \{0,1\}^{l(n)}$ $c = Enc_k(m)$ $m' = B(1^n,c)$ Define the winning event as $m' = m$. I would like to show that if the ...
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1answer
80 views

Proof of ignorance to prevent “double-spend”?

Suppose I have some knowledge that I want to transfer securely from Alice's computer to Bob's computer, and prove that future breaches to Alice's computer will not reveal that information to someone ...
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1answer
80 views

The meaning of formal and semi-formal in cryptography

The question is about "formal" analysis, proofs, etc... What is a correct definition of a formal proof, or a formal analysis? Is there a good way and a bad way to formally prove something. What is the ...
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51 views

Equivalents of Yao's Xor lemma to rounds, or other hardness amplification methods?

Simple question: I just learn the existence of the great Yao's Xor lemma (see a quick sum-up at the end of this post). I'd like to use a similar argument, but instead of a simple function, I've a two ...
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1answer
46 views

Fairness in Multi party computation

Why for achieving the fairness, less than a half of the parties should be corrupted? ($t<m/2$, where $t$ is the number of corrupted parties and $m$ is the total number of the involved parties). How ...
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24 views

Is my reasoning sound in the included scenario?

There is a package that contains a device, the device is activated/deactivated over a short range radio signal - it's function is to detect any unauthorised tampering of the package during the time it ...
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1answer
182 views

Security of Fast Two-Party ECDSA Signing

The paper "Fast Secure Two-Party ECDSA Signing" by Yehuda Lindell describes a system in which two parties, $P_1$ (with 1/2 of a share of a long-term ECDSA signing key $x_1$) and $P_2$ (with the other ...
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1answer
87 views

For two LUKS volumes made with the same password, can stealing the encryption key from one volume allow access to the other?

A running computer has two LUKS volumes that were made with the same password. One volume is open (key is in RAM), the other is closed. If the running computer is stolen, is the closed volume safe? ...
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1answer
111 views

Is there distinguisher?

Are these distributions computationally indistinguishable ? $f:\{0,1\}^n \to \{0,1\}^n $ $\{X_n\}_{n\in N}$ : uniform distribution for function which $f(0^n)=0^n$ and for other function probability ...
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1answer
103 views

Relationship between the (provable) security and the size of the plaintext space

Motivation: An encryption scheme is used to encrypt the message which belongs to the plaintext space. The scheme designer does not know what kinds of message is valid (i.e. what the plaintext space is)...
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2answers
58 views

Does side-channel attacks offer any difficulty to Stinson's concept of `provable security'?

Here's a quote from Douglas Stinson: “[i]f a cryptosystem can be ‘broken’ in some specific way, then it would be possible to efficiently solve some well-studied problem that is thought to be ...
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1answer
812 views

Is RSA provably secure in the sense of Douglas Stinson's ``provable security''?

Here's a quote from Douglas Stinson: “[i]f a cryptosystem can be ‘broken’ in some specific way, then it would be possible to efficiently solve some well-studied problem that is thought to be ...
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1answer
114 views

Estimate Security level of the Rabin Signature

I'm trying to figure out how long the modulus $n$ has to be in the Rabin Signature scheme, to provide 128 bit security. We assume that the used hash function is "secure enough". Then the naive ...
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2answers
217 views

Fiat-Shamir paradigm and the forking lemma

I am reading the proof by Pointcheval and Stern and by Bellare and Neven about the forking lemma. The papers discuss the security proof of digital signatures by applying the lemma. It seems also ...
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1answer
72 views

What is the meaning of $1$ in provable security?

Sometimes, we use $1$ to represent "succeed". In CPA, if the adversary guesses $b'=b$ outputs $1$. But I am confusing about the meanings of the following $1$. Take the DDH for example, $$|\Pr[\...
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1answer
467 views

Is there a way of maintaining malleability in a homomorphic encryption system while making it infeasible to perform chosen ciphertext attacks?

Is there a way of maintaining malleability in a homomorphic encryption system while making it infeasible to perform chosen ciphertext attacks? I have been reading about homomorphic encryption and ...
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2answers
134 views

Why does WOTS+ need a checksum during signing operation?

I was reviewing WOTS+ scheme for consideration in our private blockchain, and noticed that it had a small overhead of calculating a checksum as seen in the following pseudocode excerpt from the ...
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Use of randomness in an Elgamal like encryption

Suppose I have the following encryption scheme: for a message $m\in\mathbb{F}_p^*$, I generate the ciphertext = $(g^r,f^mh^r)$ where $g$ is the generator of a cyclic group $G$ of unknown order $n$ and ...
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2answers
133 views

What conditions does a provable secure cryptosystem satisfy?

A cryptosystem can be entirely dependent on its underlying problem or it can have a reduction to other known problems. Solvability can be affordable if there exists a reduction of the base problem to ...
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2answers
309 views

Is this Sigma Protocol zero knowledge or is it just a proof of knowledge?

Suppose I have the witness $x$ and need to prove that I correctly computed $(g^x)^x$ to a verifier. $g$ and $g^x$ are public. The verifier asks me for $(g^x)^x$, but wants proof that I've given them ...
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55 views

Extractability property in Zero Knowledge Discrete Log problems

I am trying to construct a simulator and an extractor for a zero knowledge protocol. I just encountered this text that explains the construction of the simulator. Does someone know of a similar text ...
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2answers
308 views

What is the name of an attack where the compromise of one key compromises the whole system?

Consider the following: A whole system depends on the security of one private key and if this key is, for any reason, compromised, the whole system will be compromised. What's a suitable name for ...
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1answer
126 views

Is the simulation-based proof difficult and needed? [closed]

What is the role for simulation-based proof under the semi-honest model without considering malicious adversaries? I agree with that a view of a some party is important to prove that a protocol is ...
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1answer
51 views

Instead of sending a set of random values, send a key for a PRF

Some Protocols require one party to send $n$ random challenges (or random values) to another party. For communication efficiency purpose, one can pick a random key for a pseudorandom function, and ...
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276 views

How to compute secure sum using secure multparty computation?

Suppose there are three voters $P$, $Q$ and $R$, and each will vote only on one candidate out of $X$, $Y$ or $Z$, with a 6 bit vote vector corresponding to $X $, $Y$ and $Z$ respectively (with 2 bits ...
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2answers
197 views

Motivation of Adversarial Indistinguishability Experiment

I had a question about the motivation behind this definition provided in Katz and Lindell's cryptography book. I copied the paragraph in question along with the definition of the experiment. ...
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1answer
100 views

How well is it understood mathematically why encryption schemes are hard to crack?

I have read some intro material into cryptography. It mainly goes into the current encryption schemes like AES, but not very deeply into the mathematics of why they are secure. I know that encryption ...
2
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1answer
58 views

Does a key exchange protocol with mutual authentication which does not provide forward secrecy can be proven secure in Bellare-Rogway model?

Is forward secrecy a necessary security property for a AKE protocol to be proven secure in Bellare-Rogway model? Is freshness also a necessary security property for a AKE protocol to be proven secure ...
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168 views

How few cryptographic primitives can we use to derive all other constructions?

We have a lot of cryptographic primitives now, and many methods of deriving one type of scheme from another. There are even some like the Merkle signature scheme, which uses a hash function to derive ...
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44 views

Proofs of security for anonymity in a multi-party setting

I'm looking for material that proves the anonymity of parties in a non-interactive setting. I would like to know if there are simulation based proofs (UC) and property based proofs (game based) for ...
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1answer
48 views

Fairness and guaranteed output delivery

Why for achieving the fairness and guaranteed output delivery, less than a half of the parties should be corrupted? ($t < m/2$, where $t$ is the number of corrupted parties and $m$ is the total ...
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1answer
76 views

Any Arbitrary Function

According to the attached reference, does it mean that the adversary computes $PPT(initial~input)$, $PPT(z)$ and $PPT(f_i(x',y'))$? For example, suppose the corrupted party, in the malicious model, ...
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47 views

Non-uniform Deciders for computational indistinguishability

I don't quite understand the notion of a decider having a probability distribution function associated with it, and what it exactly says about the decider. From here on page 3-4 it says ...Now, in ...
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Possibility of Chosen Plaintext Attack (CPA) in real-world scenario?

In CPA, it is said that the adversaries get ciphertext for the choice of plaintext of adversaries through an encryption oracle. Is this a realistic assumption in real-world, in which the adversaries ...
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1answer
226 views

Why is this voting system not secure?

Why not have each person simply treated as a counterparty to an off-the-record chat? People show up in groups and show an ID which is cross-referenced against a central database to prevent Sybil ...
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103 views

Proving simulation-based security with unreliable real-world channels

An ideal functionality considers reliable communication channels, whereas a real functionality must consider unreliable communication channels (e.g., channels controlled by the adversary). Thus, it ...
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37 views

A qusetion about the security game of Certificateless signatures

Recently I read Certificateless Public Auditing for Data Integrity in the Cloud , I have a question about the security of proposed HOMOMORPHIC AUTHENTICABLE CLS. (Sec. IV). For the Type-I Adversary, ...
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45 views

A modular approach to the design and analysis of authentication and key exchange protocols

I am studying modular approach to the design and analysis of authentication and of the key exchange protocols. One of them are proposed by bellare et al. On page number 11, I do not understand the ...
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1answer
90 views

Is this construction a secure MAC?

Let $F:\{ 0,1 \}^n \times \{ 0,1 \}^ n \rightarrow Z^*_q $ is a PRF, and $H:\{ 0,1 \}^{2n} \rightarrow \{ 0,1\}^n$ is a secure hash function. Is the following construction $\Pi=(Gen,Mac,Vrfy)$ is a ...
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1answer
175 views

Secure Computation: Reactive Functionalities in the Hybrid Model for Standalone Security

A common approach to make (secure computation) protocol descriptions and proofs simpler is to describe them in a hybrid model, where the protocol in the real world has access to some auxiliary ideal ...
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4answers
275 views

Are deterministic adversaries as powerful as probabilistic adversaries?

SOURCE states the following in the proof of Theorem 2: Without loss of generality, I will assume that A is deterministic. If A is randomized, we can determinize it by fixing a sequence of coins ...
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1answer
124 views

Using a PRP $\pi: \{0,1\}^{16} \to \{0,1\}^{16}$ to construct an ideal cipher

Say we have an ideal 16-bit PRP. Since it appears that a permutation with a small domain can be used to turn it into a PRF, which can then be used in a Feistel network. On the surface, it makes it ...
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1answer
97 views

RSA-FDH and random oracle query count

I am now reading a paper 'The Exact Security of Digital Signatures - How to Sign with RSA and Rabin' and there is an equation e = (q_sig + q_hash) * e' on page 401. (e : success probability of RSA, e' ...
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66 views

Functional encryption for inner products from DDH

I have been reading this paper by Abdalla, et al. But there's something I don't get about the security proof (Theorem 3.2) for the basic IP scheme from DDH--how are they simulating the mpk's using $g^...
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1answer
578 views

Proof by reduction vs. hybrid argument

In many cases why going through the security proofs I have seen that some does it using a blackbox reduction to some known hardness assumption DDH and others do it using a hybrid argument by arguing ...
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1answer
69 views

Arguing security of an encryption scheme

I have an encryption scheme which masks the message m by multiplying it with a secret random group element i.e $g^r \cdot m$. I should allow decryption and get $g^r$ if I have a valid secret key; ...
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152 views

computational indistinguishable/distinguishable?

Let $a,b,c,d$ be selected at random from $Z_q$. Consider the following two distributions $X_1$ and $Y_1$: $X_1={(r_1\cdot a, r_2\cdot b, r_3\cdot c, (r_1+r_2-r_3)\cdot d)}$ where $r_1,r_2,r_3$ ...
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58 views

Security of certain homomorphic encryption scheme

Is the following homomorphic encryption scheme: Ahmed El-Yahyaoui and Mohamed Dafir Ech-Chrif El Kettani, A Verifiable Fully Homomorphic Encryption Scheme for Cloud Computing Security (April 2018, at ...