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This tag refers to public-key algorithms based on problems that quantum computers can't solve efficiently. Existing algorithms such as RSA, Diffie-Hellman, and ECDSA are known to be breakable using Shor's algorithm on quantum computers. Symmetric-key algorithms generally don't fall under this category.
3
votes
Why Module-LWE and not Ring-LWE?
My layman's understanding is as follows. Module-LWE is a generalization of Ring-LWE, i.e., if you can solve Module-LWE, then you can also solve Ring-LWE. More specifically, Ring-LWE is Module-LWE with …
7
votes
1
answer
310
views
CSIDH - l ideal generators
I am trying to study the CSIDH algorithm. I have some beginner background in elliptic curves and I have been following Andrew Sutherland's lectures (https://math.mit.edu/classes/18.783/2019/lectures.h …
3
votes
Accepted
In dilithium (post quantum signature algorithm), how have the authors precomputed the table ...
I did not try to implement the algorithm myself but those values are powers of $\zeta = 1753 \in \mathbb{Z}_q$ (as hinted by the name) in the Montgomery form where $q = 8380417$ and the elements of $\ …
4
votes
Accepted
Confusion in the security level offered by KYBER
I think you are looking at the wrong metric. You need to look at the number of classical gates (second row from the bottom). NIST in https://csrc.nist.gov/CSRC/media/Projects/Post-Quantum-Cryptography …
2
votes
2
answers
732
views
KEM security definition - IND-CCA vs IND-CCA2
When researching about PQ KEM's I have come across two different definitions of indistinguishability under (adaptive) chosen ciphertext attack. IND-CCA (https://eprint.iacr.org/2017/604.pdf page 10, K …