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Quantum Algorithms for Lattice Problems

eprint.iacr.org

31–40 of 127 posts

Re: Quantum Algorithms for Lattice Problems

#31
post #2

From the paper: > Let us remark that the modulus-noise ratio achieved by our quantum algorithm is still too large to break the public-key encryption schemes based on (Ring)LWE used in practice. In particular, we have not broken the NIST PQC standardization candidates. For example, for CRYSTALS-Kyber [BDK+18], the error term is chosen from a small constant range, the modulus is q = 3329, the dimension is n = 256 · k w…

[deleted]

Re: Quantum Algorithms for Lattice Problems

#32
post #2

From the paper: > Let us remark that the modulus-noise ratio achieved by our quantum algorithm is still too large to break the public-key encryption schemes based on (Ring)LWE used in practice. In particular, we have not broken the NIST PQC standardization candidates. For example, for CRYSTALS-Kyber [BDK+18], the error term is chosen from a small constant range, the modulus is q = 3329, the dimension is n = 256 · k w…

Factorization and discrete log are also polynomial on a quantum computer, and we are very good at just increasing bit widths. If CRYSTALS is also polynomial in BQP, there is very little reason to invest so much into it.

I am still of the (very controversial) opinion that the only PQC algorithm worth investing in at the expense of classical algorithms is Classic McEliece. This is a code that has stood up to classical and quantum cracking attempts for a very long time - cracking these codes is equivalent to creating a very valuable algorithm in error correcting codes.

The NIST also is dead set on people using only PQC or classical crypto, not a wrapper with both. That is stupid IMO.

Re: Quantum Algorithms for Lattice Problems

#33
post #17

Earlier quoted context omitted.

Major systems and big companies like Google are already mid-transition to PQC. So it is alarming.

Furthermore this could have implications for fully homomorphic encryption schemes based on lattices. But nonetheless I laughed :)

So a thing which is currently useless because it runs at a speed that makes the Harvard Mark I look fast, might be rendered useless if a thing that doesn’t physically exist despite decades of effort is constructed? :P)

Re: Quantum Algorithms for Lattice Problems

#34
post #2

From the paper: > Let us remark that the modulus-noise ratio achieved by our quantum algorithm is still too large to break the public-key encryption schemes based on (Ring)LWE used in practice. In particular, we have not broken the NIST PQC standardization candidates. For example, for CRYSTALS-Kyber [BDK+18], the error term is chosen from a small constant range, the modulus is q = 3329, the dimension is n = 256 · k w…

Factorization and discrete log are also polynomial on a quantum computer, and we are very good at just increasing bit widths. If CRYSTALS is also polynomial in BQP, there is very little reason to invest so much into it. I am still of the (very controversial) opinion that the only PQC algorithm worth investing in at the expense of classical algorithms is Classic McEliece. This is a code that has stood up to classical…

> The NIST also is dead set on people using only PQC or classical crypto, not a wrapper with both. That is stupid IMO.

Yeah, this is rather baffling. After SIKE got broken, you'd think they would have realized the importance of combining these new cutting-edge candidates with something reliable.

Re: Quantum Algorithms for Lattice Problems

#35
post #17
post #9

Just a bit more improvement and they might be able to use a computer that doesn't exist to break an encrypting scheme nobody uses. Alarming.

Major systems and big companies like Google are already mid-transition to PQC. So it is alarming.

Google has dozens of chrome extensions in their app store that anyone can check in 2 mins are plain malware, and they do nothing about it. If they cared about security that's what they would be working on, these guys just want to publish papers.

Re: Quantum Algorithms for Lattice Problems

#36
post #35
post #17

Earlier quoted context omitted.

Major systems and big companies like Google are already mid-transition to PQC. So it is alarming.

Google has dozens of chrome extensions in their app store that anyone can check in 2 mins are plain malware, and they do nothing about it. If they cared about security that's what they would be working on, these guys just want to publish papers.

I'm sure they have thought more about how to prioritize security threats than an anonymous internet commenter.

Re: Quantum Algorithms for Lattice Problems

#37
post #36
post #35

Earlier quoted context omitted.

Google has dozens of chrome extensions in their app store that anyone can check in 2 mins are plain malware, and they do nothing about it. If they cared about security that's what they would be working on, these guys just want to publish papers.

I'm sure they have thought more about how to prioritize security threats than an anonymous internet commenter.

The fact that you work at Google and did not care to ask what are the extensions just confirms to me nobody there cares.

Re: Quantum Algorithms for Lattice Problems

#38
post #19

I work on homomorphic encryption, and there are some rumors circulating that, if this checks out, it will break some of the leading FHE schemes like BFV, where the moduli used are quite large (in the hundreds of bits or even over a thousand bits).

… only if scalable quantum computers exist.

Re: Quantum Algorithms for Lattice Problems

#39
post #21
post #18

Earlier quoted context omitted.

Isogenies vindicated? :)

I know you're kidding but for the benefit of the class isogeny schemes were pulled when their best candidate design turned out to be breakable with a Python script owing to obscure non-cryptographic mathematic research from the 1990s. I'd expect we're not getting isogenies back. :)

AFAIK, only SIDH-like schemes that exposes auxiliary points are broken, so others schemes like CSIDH may have some chances? https://issikebrokenyet.github.io/

Re: Quantum Algorithms for Lattice Problems

#40
post #36
post #35

Earlier quoted context omitted.

Google has dozens of chrome extensions in their app store that anyone can check in 2 mins are plain malware, and they do nothing about it. If they cared about security that's what they would be working on, these guys just want to publish papers.

I'm sure they have thought more about how to prioritize security threats than an anonymous internet commenter.

Arrogance.
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