Questions tagged [key-generation]

Key generation is the process of generating keys for cryptographic purposes.

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AWS IoT - Unique Keys per each device - Data encryption

(Probably not the right board to ask. But here goes) I'm designing an IoT Solution with RPi as client and AWS as the server. On the client hardware, I have an Security Chip that can securely generate ...
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Hashing function: Generate unique 3 letters Identifier [closed]

I need to create an id generation function that takes 4-digit number and returns a unique 3-letter identifier. I already have a function that generates a 2-letter id from 3-digit number with some ...
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Issues generating keys/cyclic group for Cramer-Shoup Cryptosystem with OpenSSL

I'm trying to implement a Cramer Shoup cryptography system in C but I've run into problems with generating the keys. From what I have found on the wiki and in other papers, to generate keys for Cramer ...
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How do you quickly find D? (RSA) [duplicate]

with small primes under 1000 each i can find D in a matter of less than 1 second but anything above 1000 seems like it could go on forever! right now I generated huge primes (p = 9504941263, q = ...
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How is Argon2 used for key derivation? [duplicate]

By my understanding, a key derivation is when you take some data, say a password, and use a function to convert it into a number that can be used as a secret key in say elliptic curve cryptography. ...
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How to decompose a public key into subgroups EC?

Is it possible to decompose the public key into its own subgroups? Suppose we know the order P with which the public key was generated ...
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RSA key generation: why use lcm(p-1, q-1) instead of the totient ϕ(n)?

As far as I can see, generating a private key from two prime numbers p and q, having calculated ...
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HMAC key generation and encoding

I've this piece of .NET code that is based on a Microsoft sample on how to generate a key and sign using HMACSH256. But I've altered the key generation a little bit and also decided to use Base64 to ...
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Is it safe to use the same seed phrase for different cryptocurrency protocols

I want to use the same seed phrase for severl cryptocoins (Bticoin, Ethereum, Nano, etc.). I understand that each protocol has its own phrase length and possibly a different way of generating the ...
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How can I change the McEliece main parameters?

I use the Bouncy Castle Crypto API to implement McEliece in Java. I have also managed to encrypt and decrypt a message and it works without any problems. When I use the debugger, I see that the ...
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Can we pick which key is private or public in asymmetric encryption? Do the keys actually encrypt and decrypt a cipher text?

Could you help me better understand how the key-pair works in Asymmetric encryption? I'm studying cryptography at the surface level first. While reading multiple texts and talking with colleagues I'm ...
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Necessity of PBKDF2 in current Setup?

I have a single password which is random bytes that encrypts a database. Right now I am using an encryption scheme of https://gist.github.com/jbtule/4336842. To summarize, we take our one password, ...
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Encryption of data with multiple possible decryption keys

I'm new to the Cryptography Stack Exchange, so my question might be very naive. What encryption algorithms are out there that will allow different decryption keys to decrypt the same piece of ...
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Design an algorithm to generate random session key

good day. I am asked to design the a simple algorithm to generate random session key id of block length of 8 and change continuously every time it refreshes. Is there any simple algorithm to create ...
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How is it possible to derive the public exponent from an RSA private key?

I am gonna write down formulas that I know and use to generate RSA keys. we choose $p$, $q$ $N = p\cdot q$ $\varphi(n) = (p-1)\cdot(q-1)$ choose $e$ such as $1 < e < \varphi(N)$ $e$ is coprime ...
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When using prime factorization for key gen, is there a limit on the size of the prime factors?

If there is a limit, does that leave a limited number of prime numbers that can be used for key gen? And, if that is the case is the encryption system vulnerable?
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What is this meaning disconnected from processes performing key generation or zeroization in cryptography modu

In FIPS 140-2 Part 2:Interfaces and Port in the security policy of product told : 1- "the output data path is provided by the data interfaces and is logically disconnected from processes ...
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How feasible is it to guess the private key of libsodium by taking into account generation time?

So suppose you are doing this locally (so no network noise), and know the exact specifics of your processor too. Is it feasible to figure out the private key (while having access to the public-key) ...
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Gennaro & Goldfeder Key Generation Protocol

As I am going through the “Fast Multiparty Threshold ECDSA with Fast Trustless Setup” paper by Gennaro & Goldfeder, 2018, I am stumbled by the key generation protocol (Sect. 4.1, p.10): In Phase ...
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RSA encryption key conditions

I recently read the RSA cryptosystem but now I confused in key generation phase. According to the Euler's Theorem, we have just one condition: e.d = k.ϕ(N) + 1 where: "e" is encryption ...
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What does it mean for “1^n”(i.e., the security parameter written in unary)? [duplicate]

As it is mentioned above, I am confused about “Gen takes as input $1^n$ and outputs a key“. Does it mean that the input of Gen is 1111....111 with length of n?
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Kleptographic attack of ECDSA key generation?

Kleptographic attacks can be designed for RSA key generation, Diffie–Hellman key exchange, DSA/ECDSA signing, etc. Is it also possible for ECDSA key generation? More detailed: Is it possible for an ...
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Secret key generation in the BGV scheme in HElib

This question is about secret key generation, based on section 4.7 in the design document: https://homenc.github.io/HElib/documentation/Design_Document/HElib-design.pdf It seems that if $m$ is not a ...
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How many low-order bits of an RSA modulus can we safely fix to 1?

It's easy to generate an RSA modulus $n=p\,q$ of $k$ bits with $n\equiv-1\pmod{2^\ell}$, for $\ell$ up to about $k/2$: we can choose $p$ as usual, fix the $\ell$ low-order bits of $q$ to $-p^{-1}\...
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Symmetric and Asymmetric indistinguishabilty experiment

In each of those experiments, we have a function $Gen(x)$ who generates the key or a pair of keys respectively for symmetric or asymmetric algorithms. $x = 1^n$ : I read on other questions that is a $...
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Schnorr groups allowing fast modular reduction, vs GNFS

I'm looking for Schnorr groups allowing fast modular reduction. Say, using the notation in DSA, with 256-bit prime $q$ and 3072-bit prime $p$, and $p\equiv1\pmod q$. Are there standards, RFC, or other ...
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NTRU Euclidean algorithm the inverse of f modulo p

I am very new to the world of cryptography and have just began my research in the post quantum cryptography sector. I have been reading and trying to understand NTRU key generation and am struggling ...
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Diffie-Hellman key generation

We all see X509 certificates with 2048/4096-bit RSA key pairs; however, it is difficult to understand how they work in the DH part of the TLS handshake. At most, they authenticate and sign. DH 4096-...
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SHA3_512 as dynamic SBOX generator

I'm creating a substitution-permutation cipher (for learning purposes only of course) and I'd like to implement dynamic SBOXs. The cipher will have a block size of 128, and 32 rounds. These SBOXs will ...
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How to generate private SSH RSA key from given primes?

I have two primes and public exponent. How I can generate private key with this values and "ssh-rsa" format?
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Recovery Passphrase Collission for BIP-39 and BIP-44

Referring to the standards of [BIP-39] and [BIP-44]: a 'master password' consisting of 12 words uniformly selected from a 2048-word dictionary corresponds to 128 bits of entropy, that is then used as ...
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How to correctly (good practice) generate gpg keys in batch mode (unattended) WITH a passphrase

I'm writing a web interface in PHP to generate keys. I'm familiar with gpg's command line options, particularly --batch. I'm also familiar with PHP's GnuPG API. I can't find a way to safely pass the ...
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An attempt at using AES as a stream cipher

You have a 2048 bit private key, which is 2,048 randomly generated bits. It is not an RSA or ECC key. It is the master key that is used for every message. You receive a message to encrypt and ...
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Threshold lower than $\dfrac{n}{2}$ in distributed key generation

While I was studying protocols for distributed key generation with malicious adversaries, Gennaro et al.$^{[1]}$ pointed out that the protocols that provide both secrecy and robustness should have a ...
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Criteria for public modulus of RSA accumulator

What are criteria for generation of an RSA public modulus used in an RSA accumulator, and their rationale? Are there special requirements in some sub-cases, like for «one-way» accumulators? Josh ...
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Formula for bits of entropy per bit, when combining bits with XOR

Assume that bits $A$ and $B$ each have .5 bits of entropy per bit. The two-bit result of the concatenation $A‖B$ has 1 bit of entropy total, and it retains the entropy density of .5 bits of entropy ...
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Consequence of $p\bmod e=2$ in RSA prime generation

When generating a prime $p$ for use in an RSA modulus with public exponent $e$, it is necessary that $\gcd(p-1,e)=1$. When $e=3$, and since $p$ is a large prime, that implies $p\bmod e=2$. Assume an ...
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Symmetric key validity hypothesis?

Can I use something like Shannon entropy to determine the suitability of a symmetric key? I found a symmetric key which wasn't generated using a CSPRNG and it had a very low Shannon entropy. I ran an ...
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When is a cryptosystem or its algorithm (like RSA) considered efficient?

When is a cryptosystem (like RSA) or its algorithm for keygeneration, encryption and decryption of messages considered efficient? Is there some bound in complexity which splits both efficient and not ...
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How to find the inverse of a polynomial in NTRU-PKCS

I am coding a java based implementation of the NTRU public-key cryptosystem. I can comprehend the majority of the algorithms involved in the encryption and decryption process well enough, but the key ...
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What are the safe primes for $p$ and $q$ ​used in ElGamal?

I need to generate a 2048 bit key for ElGamal and I was looking for the $p$ and $q$ for PGP but I couldn't find them. the only thing I could find was this RFC but those are not safe primes. Does ...
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Proof that Niederreiter Cryptosystem is correct

I read about Niederreiter Cryptosystem. I understood the Key Generator, encryption and decryption of the cryptosystem, but if I want to prove that is a correct cryptosystem, what should I do?
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The importance of randomness in the creation of a key

Why does it matter what kind of random number generation is used during key generation? E.g. this answer states ...
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Is there a way to generate a password from another but those 2 will have no relation?

For example I have the password X and I want to encrypt 2 different things. Even if one of them was stolen due to a keylogger, other will be completely safe. I wonder how safe something like this ...
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How should one handle the identity value and other "obviously" weak secret random values?

In RSA, ECDSA, ElGamal and quite a few other schemes, using a secret (random) value equal to 1 might not provide any form of security, while still being mathematically sound. For RSA, ECDSA or ElGamal,...
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Difference between Key Scheduling and Key Generation?

I am a little bit confused in the terms i.e Key Scheduling and Key Generation. What is the actual difference between these two terms? According to Wikipedia, the terms are described as: Key ...
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Vulnerability of low value generated key

I have read here that Elgamal is resistant to brute-force attack, because the group to where the key is selected is very large. But since the key generation is random, (i assume)there is a chance that ...
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Concatenating "words," is it possible to create a key that is indistinguishable from one made in a truly random manner?

By concatenating "words" and adding them Modulo 26, can a key be created that is indistinguishable from one generated in a truly random manner? Let's say the key is more than about ten ...
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What is a randomly derived key?

It is a well-known fact that using the same key + nonce combination with a stream cipher twice breaks security. The NaCl library has different primitives for authenticated encryption (i.e., ...
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Is there a scheme to force a party to generate a fresh key?

Is there a way to force one party to generate a fresh key, such that another party can be convinced that the key was freshly generated, without that party also knowing the key? I'm motivated by a ...