Linked Questions

50
votes
10answers
13k views

Now that quantum computers have been out for a while, has RSA been cracked?

D-wave systems has released a commercially viable quantum computer. This means in theory, that all asymmetric encryption algorithms — such as RSA — are now useless due to the speed at which quantum ...
44
votes
4answers
27k views

Security strength of RSA in relation with the modulus size

NIST SP 800-57 §5.6.1 p.62–64 specifies a correspondence between RSA modulus size $n$ and expected security strength $s$ in bits: ...
27
votes
2answers
44k views

How much computing resource is required to brute-force RSA?

It's been over 30 years since Rivest, Shamir and Adleman first publicly described their algorithm for public-key cryptography; and the intelligence community is thought to have known about it for ...
21
votes
1answer
9k views

What is the history of recommended RSA key sizes?

One can find up to date recommended key sizes for RSA at NIST sp800-131A for example. In short, it suggests a key size of at least 2048 bits. Is it possible to find a history of recommended key sizes ...
21
votes
1answer
1k views

Security of RSA for paranoids with padding?

RSA for Paranoids (RSAP) (in CryptoBytes v1n3), also known as Unbalanced RSA, is a variant of RSA proposed in 1995 by Adi Shamir, as a mean to increase the RSA public modulus size while keeping ...
12
votes
1answer
26k views

How much stronger is RSA-2048 compared to RSA-1024?

How much stronger is RSA-2048 compared to RSA-1024? It is hard to imagine very big numbers. So what would be your way to explain the difference to someone who doesn't know much about cryptography?
12
votes
2answers
1k views

Are there any signature schemes for underpowered devices (8-bit microcontroller)?

I am currently researching into a small scale home automation system, aiming for cost. The system architecture is basically one master and several slaves which are connected in parallel. Recently i'...
11
votes
2answers
3k views

Should RSA primes p and q differ in length by "a few digits"?

When generating RSA keys in the original RSA paper it is stated: to gain additional protection against sophisticated factoring algorithms, p and q should differ in length by a few digits Why is ...
7
votes
1answer
9k views

Should I use RSA encryption since RSA is said to be broken by NSA?

I am developing a simple web app that uses asymmetric encryption, but I am not sure whether to chose RSA for the reasons mentioned above. What are your suggestions? Also if I decided to go with RSA ...
7
votes
4answers
11k views

Is 512-bit RSA still safe for signature generation?

The standard CSP on Windows XP only supports RSA up to 512-bit, which means that it's the maximum key size I can use for authenticity verification of updates. The public key is embedded in the updater,...
5
votes
2answers
21k views

What is the largest bit RSA encryption to be cracked?

This article shows a 4096 bit key being cracked by using a microphone and listening to your computer's cpu. I do not know if this is true at all. I am doing a presentation on RSA Security and I ...
4
votes
1answer
1k views

RSA time function

I am doing a paper on textbook RSA (highschool-level). I am explaining and proving the significance of the public key exponent in time and security. So far, I have encrypted a constant message with a ...
4
votes
2answers
156 views

RSA - Is $e = d$ a problem?

I'm working on small RSA project in university. At this moment I have done this: An array of prime numbers is generated from selected range. $p$ and $q$ selected randomly from this array $n$ ...
3
votes
2answers
8k views

How exactly are public and private keys used to encrypt and the decrypt data?

In asymmetric encryption schemes, a public key is used by an outside source to encrypt data to be sent to the holder of the private key. It's my understanding that public keys are generated from the ...
3
votes
4answers
1k views

Could a fixed RSA encryption be used instead of a salt to prevent rainbow table attacks?

It's common to use a salt before hashing a password in order to prevent an attack by rainbow tables. Would it also work to encrypt the password for instance by RSA encryption - by a permanent RSA ...

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