Highly accurate and precise crystal structures of methyl R-D-arabinofuranoside, methyl â-D-ribofuranoside, methyl R-D-lyxofuranoside, and methyl R-D-xylofuranoside have been determined at 100 K by X-ray crystallography. The structures of methyl R-D-arabinofuranoside and methyl â-D-ribofuranoside have also been determined at 15 K by neutron diffraction. Equilibrium (re) geometries of the same co...

Three different kinds of cyclic imides with imido protons are chosen to interact with Hg(II): succinimide, the simplest cyclic imide (five-membered ring); phthalimide (conjugated five-membered ring); and 1,8-naphthalimide (conjugated six-membered ring). Based on the results of MS, (1)H-NMR, XPS, IR spectroscopy and fluorescence response analyses, it is suggested that N-unsubstituted cyclic imid...

Abstract The Learning with Errors (LWE) problem is the fundamental backbone of modern lattice-based cryptography, allowing one to establish cryptography on hardness well-studied computational problems. However, schemes based LWE are often impractical, so Ring was introduced as a form ‘structured’ LWE, trading off hard quantify loss security for an increase in efficiency by working over well-cho...