This paper introduces skew dihedral group rings and their applications for public-key cryptography. We present a specific ring that is the underlying algebraic platform our cryptographic constructions. then build two-party key exchange protocol an analysis of its security. exploit it to derive agreement protocol, probabilistic scheme, encapsulation mechanism. In addition security constructions,...

In the title compound, C(22)H(19)NO(5)S, the carbazole skeleton is nearly planar [maximum deviation = 0.043 (1) Å] with the pyrrole ring oriented at dihedral angles of 2.32 (6) and 1.77 (6)° with respect to the adjacent benzene rings. The dihedral angle between the benzene ring of the tosyl group and the carbazole skeleton is 82.25 (5)°. Intra-molecular O-H⋯O hydrogen bonding results in the for...

This work is an investigation into the structure and properties of supersymmetric hypermatrix Lie algebra generated by elements of the dihedral group D3. It is based on previous work on the subject of supersymmetric Lie algebra (Schreiber, 2012). In preview work I used several new algebraic tools; namely cubic hypermatrices (including special arrangements of such hypermatrices) and I obtained a...

In the structure of the the title compound, C(15)H(14)ClNO, the N-H and C=O bonds are trans to each other and the amide O atom is anti to the ortho-Cl atom in the benzoyl ring. The amide group makes dihedral angles of 61.2 (6) and 42.2 (8)° with the benzoyl and aniline rings, respectively. In the crystal, the mol-ecules are linked into infinite chains by N-H⋯O hydrogen bonds.

In the mol-ecular structure of the title compound, C(15)H(14)ClNO, the amide group forms dihedral angles of 15.8 (2) and 27.2 (2)°, respectively, with the benzoyl and aniline rings, while the angle between the benzoyl and aniline rings is 11.5 (1)°. The crystal structure is stabilized by N-H⋯O hydrogen bonds, which give rise to infinite chains running along the c axis.

In the title compound, C15H17N3OS, the dihedral angle between the mean planes of the 2-hy-droxy-napthyl ring system and the hydrazinecarbo-thio-amide group is 73.7 (3)°. In the crystal, weak O-H⋯S and C-H⋯O inter-actions and π-π stacking inter-actions involving one of the hy-droxy-napthyl rings with a centroid-centroid distance of 3.6648 (14) Å are observed, forming infinite chains along [010]....

In the title compound, C(19)H(18)N(3) (+.)C(4)H(2)N(3)O(4) (-), the dihedral angles between the phenyl rings and the plane defined by the central guanidinium fragment are in the range 41.3 (1)-66.6 (1)°. The pyrimidine ring of the anion is distorted towards a boat conformation and the nitro group is rotated 11.4 (2)° out of the uracil plane. Hydrogen bonds assemble the ions in infinite helical ...

IN THE TITLE COMPOUND (SYSTEMATIC NAME 4-bromoacetyl-1,2,3-oxadiazol-3-ylium-5-olate), C(10)H(7)BrN(2)O(3), the 1,2,3-oxadiazole ring and bromo-acetyl group are essentially planar [maximum deviation = 0.010 (4) and 0.013 (3) Å respectively] and form dihedral angles of 59.31 (19) and 67.96 (11)°, respectively, with the phenyl ring. The 1,2,3-oxadiazole ring is twisted slightly from the mean plan...

The title compound, C(21)H(21)N(5)O(2)·0.5H(2)O, has two fused six-membered rings linked to a benzene ring and to a triazole ring, which is connected to a butanol group. The quinazoline ring forms a dihedral angle of 7.88 (8)° with the benzene ring, while the triazole ring is approximately perpendicular to the benzene ring and to the quinazoline system, making dihedral angles of 84.38 (10) and ...