A message from our CEO about the future of Stack Overflow and Stack Exchange. Read now.

Questions tagged [public-key]

An asymmetric cipher is an encryption scheme using a pair of keys, one to encrypt and a second to decrypt a message. This way the encrypting key need not be kept secret to ensure a private communication. Similarly in public key authentication, the verification key can be public and the signing key private.

Filter by
Sorted by
Tagged with
4
votes
3answers
1k views

What is the appropriate public key encryption for secure coin flipping?

I quote Bobby's question here since I encountered the same one... Random Coin Flip using ElGamal and a Trusted Party Consider the following protocol for two parties to flip a fair coin. Trusted ...
4
votes
2answers
246 views

(Impossibility of?) Associative Pseudorandom Permutation

I'm not sure whether this had been a long-standing open problem in cryptography. Definition An associative pseudorandom permutation $f(k,m)$ is a permutation such that: $f(k_1, f(k_2, m)) = f(f(...
4
votes
1answer
4k views

Why are key lengths in asymmetric algorithms typically longer than key lengths in symmetric algorithms?

Apologies if this is a duplicate question. I did search prior to posting :-) I think it may be somewhat related to my other question here but I think it's different enough to warrant a separate ...
3
votes
1answer
760 views

Asymmetric format preserving encryption?

I would like to encrypt a string asymmetrically. I would like the ciphertext to be as short as as plaintext. (or shorter) I've read about format preserving encryption functions - are there ...
2
votes
2answers
122 views

If a private key decrypts what its public key encrypts, can the public key conversely decrypt what its private key encrypts?

Whilst studying the material for the CCNAS exam, I have encountered something on the cryptographic systems chapter that I am not sure about. Cisco Netacad states that "Asymmetric algorithms use two ...
1
vote
1answer
156 views

Paillier subtraction for negative result

I am trying to figure out subtraction on Paillier. From what I read so far, given $m_1$ smaller than $m_2$ ($m_1<m_2$) I can compute $E(m_2-m_1)$ as $E(m_2)\cdot E(m_1)^{-1}$ where $E(m_1)^{-1}$ ...
1
vote
1answer
2k views

How to jusify {e,n} is a valid RSA public key?

I have a two set of key {36,77} and {50,117}, How can validate if it is a valid RSA public keys? Is there any simple method?
1
vote
1answer
6k views

How can we get CA's public key?

To get a public key of some organization or someone we want to send an encrypted message to, we need to make a request to CA asking that organization's public key. CA then returns X509 certificate. It ...
1
vote
2answers
143 views

Emulate multisignature wallet

I have a blockchain wallet with a single signature wallet, is there a way of making this wallet "multi-signature"? F.e can we use some secret sharing scheme to distribute the single private key among ...
1
vote
2answers
2k views

Sharing an encrypted file between a group of people

Is there any way to share an encrypted file with a group? In the other words, can I encrypt a file with a public key so that each person in a group decrypt it with his/her private key? Is there any ...
0
votes
1answer
683 views

RSA encryption/decryption process is not working correctly

I'm trying to apply the RSA cryptosystem to encrypt a byte M=72, using predefined modulus n, public key exponent ...
0
votes
1answer
230 views

Is there a feasible way to generate an RSA key manually the same way as it is for an ECC one?

In elliptic curves, a private key is just a random number, and one relatively small compared to other crypto systems (256 bits for ECC vs 4096 bits for RSA for example). Suppose I don't trust ...
-1
votes
2answers
155 views

How to find at least one private key from a large list of compressed public keys secp256k1

Not long ago I saw a discussion on the Bitcoin Talk forum: https://bitcointalk.org/index.php?topic=5060735.msg50736695#msg50736695 Please give advice and working methods? Is it possible to find at ...
73
votes
4answers
11k views

How come Public key cryptography wasn't discovered earlier?

I became interested in crypto lately and read about symmetric and public key crypto algorithms. I understand how crucial the discoveries of the 1970s like RSA, DES and DH were in advancing the ...
39
votes
2answers
23k views

ECDSA vs ECIES vs ECDH

Recently I started studying Elliptic Curve Cryptography and I just loved it. I want to transfer some big data (like 3KB), What is the best method, ECDSA, ECIES, or ECDH (and why)? I am confused, how ...
26
votes
1answer
11k views

Multi-party encryption algorithm

To give some foreground information: I acknowledge that I am a cryptography newb and not by any means an expert (and probably never will be). In a recent CS class we had several assignments writing ...
12
votes
1answer
3k views

Why do we encrypt-then mac but sign-then-encrypt?

This question was asked in comments on my answer to should we sign then encrypt or encrypt then sign. I think posing the question as a separate entity is best, so: The general advice for applying ...
25
votes
5answers
18k views

Why does RSA need p and q to be prime numbers?

Despite having read What makes RSA secure by using prime numbers?, I seek a clarification because I am still struggling to really grasp the underlying concepts of RSA. Specifically, why can't we ...
24
votes
2answers
29k views

When to use RSA and when ElGamal asymmetric encryption

If i am not wrong in cryptography there are 2 basic cryptographic schemes for public key cryptography. RSA encryption whose security is based on the infeasibility of solving the factoring of big ...
12
votes
2answers
19k views

Multiple private keys for single public key

I am currently working in security in mobile ad-hoc networks. I have several clusters, and I want to send some data encrypted with its public key, from the cluster head to the cluster members. I ...
32
votes
3answers
3k views

New quantum attack on lattices (or Shor strikes again)?

Lior Eldar and Peter W. Shor published a paper on arXiv.org in which they present a new quantum algorithm against a variant of BDD. They claim that their new algorithm can efficiently solve the ...
28
votes
2answers
3k views

How does one verify a GPG/PGP key revocation?

After revoking a key and sending the revocation to MIT's keyserver, I noticed that the key is listed as such: ...
15
votes
2answers
8k views

How can I remove my personal data from my PGP public key?

According to this Q&A-discussion it is possible to remove all personal data (name and mail address) that is attached to a public key. What steps do I have to follow in order to remove all ...
6
votes
2answers
760 views

Is it possible to derive a public key from another public key without knowing a private key (Ed25519)?

I have a following use case: User has his master public (sk) - private (pk) key pair (Ed25519). In DB we store a public key. Is ...
11
votes
3answers
5k views

Why are asymmetric cryptography keys more vulnerable to brute force attack than symmetric ones?

I came across this paper which says that Asymmetric keys must be many times longer than keys in secret-cryptography in order to boast equivalent security. Keys in asymmetric cryptography are ...
9
votes
4answers
4k views

Is it possible to pick your Ed25519 public key?

Is it possible to generate an Ed25519 keypair that has a very similar public key as another keypair (fooling a casual visual comparison) or is this as hard as solving one of SHA-512 or the discrete ...
13
votes
2answers
969 views

Is it safe to reuse a ECDSA nonce for two signatures if the public keys are different?

We denote the s value of an ECDSA signature $(r, s)$ on a message $m$ as: $s=\frac{H(m)+xr}{k}$ Assume two ECDSA signatures sharing the same nonce $(r, s_1) , (r, s_2)$ on two messages $m_1, m_2$, ...
12
votes
2answers
5k views

Can or can not D-Wave's quantum computers use Shor's and Grover's Algorithm to find encryption keys? Why?

I read that a company called D-Wave Systems has and is manufacturing quantum computers of 128 qubits. Can they or can they not use Shor's and Grover's algorithms for finding RSA-keys? If they can't ...
10
votes
3answers
3k views

Asymmetry between public key and private key: digital signatures use the private key for “encryption”?

I have a misunderstanding concerning public key cryptography...would be very helpful if you answer the questions... Digital signatures: You use your private key for "encryption" and they use your ...
10
votes
3answers
18k views

Using ECDSA keys for encryption

I know that ECDSA is used for signature only, but I wonder if I can use the public/private Elliptic Curve keys for encryption too. I have ECDSA SSH public keys and I wonder if I can use them to ...
9
votes
3answers
856 views

Is there an algorithm to find the number of intersections of two sets?

Suppose both I and my friend have a set of integer numbers. We want to know the number of common elements in our two sets but without knowing elements of the sets of each other. So I don't want my ...
9
votes
2answers
2k views

Random Coin Flip using ElGamal and a Trusted Party

An old exam question I am trying to figure out: Consider the following protocol for two parties to flip a fair coin. Trusted party T publishes her public key pk A chooses a random bit $...
0
votes
1answer
4k views

Decrypted RSA 64 bit encryption using modulus and private exponent. Got gobbledygook [Verify] [closed]

As part of an experiment, I was given a .enc RSA (encrypted) file that was most likely generated using openssl. I had the public key, I factored it, obtained the private exponent, and decrypted the ....
18
votes
1answer
2k views

Perfect Forward Secrecy with NaCl

I would like to use the NaCl cryptography library (or TweetNaCl), but I would very much like to have perfect forward secrecy for my application. From what I understand, all Bob needs to to decrypt a ...
18
votes
1answer
1k views

Compressing EC private keys

For reasonable security, EC private keys are typically 256-bits. Shorter EC private keys are not sufficiently secure. However, shorter symmetric keys (128-bits, for example) are comparably secure. I ...
15
votes
2answers
3k views

How do I get the equivalent strength of an ECC key?

I know how to calculate the comparable symmetric strength of an RSA modulus: calculate the running time for a field sieve. This is how NIST gives approximate symmetric sizes for asymmetric algos in ...
10
votes
3answers
655 views

Can one have an authentic, but repudiable, message without a previously shared secret?

Bob wants to send a message to Alice, such that Alice can be sure that the message came from Bob, but can't prove it to anyone else. If I understand right, this means that the same message could have ...
10
votes
1answer
5k views

Why does the PKCS1 RSA private key structure contain more than just exponent and modulus?

The ASN.1 spec for the PKCS1 RSA private key format is as follows: ...
8
votes
3answers
15k views

In RSA, do I calculate d from e or e from d?

In the original paper introducing RSA, it is implied that one should first choose $d$ and then calulate $e$ from $p$, $q$, and $d$. However, I have found in other places (such as the wikipedia article ...
6
votes
1answer
8k views

How exactly does certificate based authentication work?

I know the concept of key generation, as well as encryption and decryption using public and private keys. When it comes to authenticating a user by a server, in general there are three types: ...
6
votes
2answers
16k views

Finding Private key in RSA with public key, cipher text and plain text

Is there a known 'non-brute force' method of determining a private key in an RSA system when all other parameters are know? I found the values of a ciphertext ($C$), its corresponding plaintext ($P$) ...
4
votes
1answer
2k views

Elliptic Curve Encryption Ciphertext Size

I'd like to know how much bigger is the ciphertext when encrypting a message using ECC encrytpion? ECIES (or ElGamal)
4
votes
2answers
9k views

Digital Signature using symmetric key cryptography

Generally digital signature is a public key cryptography concept.But it needs high overhead. So is there any publication or link available where 'digital signature using symmetric key' has been ...
2
votes
1answer
260 views

Why aren't there function based discrete log problems?

If discrete logarithm is based on the fact that finding $x$ for $a^x$ is difficult, wouldn't it be difficult to find $n$ such that if $f(x_1) = x_2$ then $f(x_2) = x_3 ... = x_n$ if $x$ is a generator ...
9
votes
1answer
2k views

Simple digital signature example that one could compute without a computer?

I am working on a document to explain Bitcoin to students. But I am having a hard time translating the principle described in §2 of the Bitcoin whitepaper in layman's terms. There is a great question ...
7
votes
2answers
13k views

Why is a 2048-bit public RSA key represented by 540 hexadecimal characters in X.509 Certificates?

In the public certificate, an RSA public key specified as 2048 bits long is represented by 540 hexadecimal characters. Converted to base-2, this yields 2160 bits, 112 more than the stated 2048.
7
votes
3answers
770 views

Why the symmetric key layer in PGP?

I've been familiarizing myself with the basics of PGP. If I understand correctly, PGP symmetrically encrypts the data of interest using a random single-use key, then encrypts the encrypted data and ...
6
votes
2answers
150 views

Why ECDSA has its form?

According to Wikipedia, if Alice wants to sign some message, she computes $s = k^{-1} (z + r d_A)$ then sends $(r, s)$ to Bob. I don't understand why they use this particular formula $s = k^{-1} (z + ...
6
votes
2answers
637 views

Can an RSA public key be generated without ever knowing the factors? [duplicate]

Context: http://blog.cryptographyengineering.com/2013/12/a-few-more-notes-on-nsa-random-number.html Assume I wanted to use RSA as the basis for a hash function or DRBG. Also assume that my construct ...
6
votes
6answers
2k views

Is there an authenticated encryption scheme where the recipient can attribute the message to a single sender?

With a standard authenticated encryption scheme (or MAC), Alice and Bob share a symmetric key. When Alice sends something to Bob, Bob can check that it is authentic. At that point, Bob can deduce ...