Security Impact Analysis of Degree of Field Extension in Lattice Attacks on Ring-LWE Problem. (arXiv:2305.15772v1 [cs.CR])

Modern information communications use cryptography to keep the contents of
communications confidential. RSA (Rivest-Shamir-Adleman) cryptography and
elliptic curve cryptography, which are public-key cryptosystems, are widely
used cryptographic schemes. However, it is known that these cryptographic
schemes can be deciphered in a very short time by Shor's algorithm when a
quantum computer is put into practical use. Therefore, several methods have
been proposed for quantum computer-resistant cryptosystems that cannot be
cracked even by a quantum computer. A simple implementation of LWE-based …

analysis attacks communications confidential cryptography elliptic elliptic curve cryptography extension impact information key problem public ring rsa security