Lattice attack on group ring NTRU: The case of the dihedral group. (arXiv:2309.08304v1 [cs.CR])

Group ring NTRU (GR-NTRU) provides a general structure to design different
variants of NTRU-like schemes by employing different groups. Although, most of
the schemes in literature are built over cyclic groups, nonabelian groups can
also be used. Coppersmith and Shamir in 1997 have suggested that
noncommutativity may result in better security against some lattice attacks for
some groups. Lattice attacks on the public key of NTRU-like cryptosystems try
to retrieve the private key by solving the shortest vector problem (SVP) …

attack case design general literature ring structure