Unanswered Questions
4,288 questions with no upvoted or accepted answers
37
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0
answers
2k
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Who first published the interest of more than two prime factors in RSA?
Multi-prime RSA is now a well known technique (described here): it uses $k>2$ distinct secret prime factors in the public RSA modulus, with the advantage that, using the CRT, we can gain a speed ...
- 131k
19
votes
0
answers
413
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Adding bit constants to the key schedule to reduce rounds?
Bit constants are often added to the key schedule to reduce slide attacks. I have reviewed David Wagner's work, where he showed that the increased rounds in a Feistel network do not help if you have ...
- 4,449
18
votes
0
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398
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Finding $x$ such that $g^x\bmod p<p/k$?
In a Schnorr group as used for DSA, of prime modulus $p$, prime order $q$, generator $g$ (with $p/g$ small), how can we efficiently exhibit an $x$ with $0<x<q$ such that $g^x\bmod p<p/k$, for ...
- 131k
16
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387
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The aftermath and considerations of the new record of 30750-Bit Binary Field Discrete Logarithm - 2020
Granger et al. recently published a paper about breaking a record for discrete logarithm on the Binary field
Computation of a 30 750-Bit Binary Field Discrete Logarithm, Robert Granger and Thorsten ...
- 1,381
16
votes
0
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377
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Fewest qubits required for the discrete logarithm problem and integer factorization
According to a paper from 2002, the most efficient circuit to factor an $n$-bit integer requires $2n+3$ qubits and $O(n^{3}\lg(n))$ elementary quantum gates, assuming ideal qubits. Later on, according ...
- 14.7k
15
votes
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answers
2k
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Has Telegram security been significantly improved with MTProto 2.0?
Telegram messenger's original encryption scheme, MTProto 1.0, has been shunned by most cryptographers for a number of reasons, like being vulnerable to IND-CCA attack; being unorthodox in general, ...
15
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0
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984
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Given a 'good' basis for a lattice, how can we solve the CVP?
I'm doing a little bit of reading about lattices. I read that if we can find a 'short' basis for our given lattice, we can solve CVP and SVP very efficiently. However, the paper didn't describe an ...
- 4,606
14
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215
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Space complexity of quantum collision search?
Is there a known way to reduce the space complexity of quantum collision search (PDF) beyond what is offered by the built-in time-space tradeoff, while keeping the time complexity significantly below ...
- 14.7k
13
votes
0
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605
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The backdoor of Telegram on Diffie-Hellman Key Exchange and possibly other examples?
Diffie-Hellman Key-Exchange (DHKE) should be used carefully during the end-to-end encryption. A man-in-the-middle (MITM) attack is possible.
Standard DHKE
The simple protocol on the multiplicative ...
- 45.5k
13
votes
0
answers
277
views
RSA key such that pi deciphers to your name per RSA-OAEP
Can you efficiently construct an RSA public/private key pair with $8k$-bit public modulus such that $C=\left\lfloor\pi\,2^{8k-2}\right\rfloor$ deciphers per RSA-OAEP to your name as a bytestring in ...
- 131k
13
votes
0
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481
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How Significant is the New Quasi-Polynomial-Time Attack on Fixed Characteristic Discrete Logarithms?
There is a new paper by Kleinjung and Wesolowski on eprint that claims and proves a new attack on the discrete logarithm problem in finite fixed characteristic fields in quasi-polynomial time.
...
- 11
13
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1k
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Yaos Millionaire Problem: Why distance >= 2?
I'm currently reading about Yao' Millionaire Problem: http://research.cs.wisc.edu/areas/sec/yao1982-ocr.pdf
Alice and Bob want to know which of them is richer.
Let $j \in \{1, \cdots 10\}$ be Bobs ...
12
votes
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498
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Requirements for security against multi-target attacks, for McEliece and other code-based cryptosystems?
This question is potentially relevant to NIST post-quantum cryptography standards, involving code-based cryptosystems such as McEliece, BIKE and HQC.
For these cryptosystems, it seems that an attacker ...
- 3,087
12
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0
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797
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RSA factorization with special primes
Suppose that primes for RSA modulus are generated using formula:
$P_i(x,y) = \operatorname{next\_prime}(x^{z_i}+y^{z_i}) = x^{z_i}+y^{z_i}+d_i$
where $x,y$ are unknown random numbers with size 128 ...
- 19.4k
12
votes
0
answers
642
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Potential Flaws With Lattice Based Cryptography?
From researching post-quantum cryptographic schemes it seems hash-based and lattice-based algorithms are the most promising (MQ-based seem to be covered by patents and have more potential unknowns ...
- 88.6k