The Mathematical Foundation of Post-Quantum Cryptography

arXiv:2404.19186v1 Announce Type: cross
Abstract: On July 5, 2022, the National Institute of Standards and Technology announced four possible post-quantum cryptography standards, three of them are based on lattice theory and the other one is based on Hash function. It is well-known that the security of the lattice cryptography relies on the hardness of the shortest vector problem (SVP) and the closest vector problem (CVP). In fact, the SVP is a sphere packing problem and the CVP is a sphere …

arxiv cryptography cs.cr cs.it foundation function hash hash function july math.it math.nt national post-quantum post-quantum cryptography quantum quantum cryptography security standards technology theory well-known