Super-strong RKA secure MAC,PKE and SE from tag-based hash proof system

\(\mathcal {F}\)-related-key attacks (RKA) on cryptographic systems consider adversaries who can observe the outcome of a system under not only the original key, say k, but also related keys f(k), with f adaptively chosen from \(\mathcal {F}\) by the adversary. In this paper, we define new RKA security notions for several cryptographic primitives including message authentication code (MAC), public-key encryption (PKE) and symmetric encryption (SE). This new kind of RKA notions are called super-strong RKA securities, which stipulate minimal restrictions on the adversary’s forgery or oracle access, thus turn out to be the strongest ones among existing RKA security requirements. We present paradigms for constructing super-strong RKA secure MAC, PKE and SE from a common ingredient, namely Tag-based hash proof system (THPS). We also present constructions for THPS based on the k-linear and the DCR assumptions. When instantiating our paradigms with concrete THPS constructions, we obtain super-strong RKA secure MAC, PKE and SE schemes for the class of restricted affine functions \(\mathcal {F}_{\text {raff}}\), of which the class of linear functions \(\mathcal {F}_{\text {lin}}\) is a subset. To the best of our knowledge, our MACs, PKEs and SEs are the first ones possessing super-strong RKA securities for a non-claw-free function class \(\mathcal {F}_{\text {raff}}\) in the standard model and under standard assumptions. Our constructions are free of pairing and are as efficient as those proposed in previous works. In particular, the keys, tags of MAC and ciphertexts of PKE and SE all consist of only a constant number of group elements.     

A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations

We consider difference schemes for nonlinear time fractional Klein-Gordon type equations in this paper. A linearized scheme is proposed to solve the problem. As a result, iterative method need not be employed. One of the main difficulties for the analysis is that certain weight averages of the approximated solutions are considered in the discretization and standard energy estimates cannot be applied directly. By introducing a new grid function, which further approximates the solution, and using ideas in some recent studies, we show that the method converges with second-order accuracy in time.     

Synthesis and structure of three dichromium hexacarbonyl complexes with (CPPh2)2, (CHPPh2)2, and carbazole bridges

Three dichromium hexacarbonyl complexes containing (CPPh₂)₂, (CHPPh₂)₂, and carbazole as a conjugated bridging ligand are synthesized and exhibit a variety of electronic interactions between the metal centers, which can be modified by altering either the conjugated bridging nature or the ligand bound to the metals to induce peculiar asymmetry.     

Synthesis of high-quality single-walled carbon nanotubes by catalytic decomposition of C2H2

High-quality single-walled carbon nanotubes free of defects and amorphous carbon coating have been produced by catalytic decomposition of C2H2 over Fe-Mo/Al2O3 catalyst.     

Composites prepared by penetrating poly(ethylene oxide) chains into mesoporous silica

Mesoporous silica was synthesized by hydrolysis of tetraethylorthosilicate (TEOS, formula Si(OCH₂CH₃)₄) at ambient temperature in a basic ethanol-water solution, with cetyltrimethyl ammonium bromide as a template. It had a surface area of approximately 1,400 m²/g, and an average pore diameter of approximately 40 Å. Portions were blended into three samples of poly(ethylene oxide) (PEO) of varying molecular weights, in the hope of making novel composites by penetrating some of the PEO chains into the silica channels. Differential Scanning Calorimetry (DSC) and X-ray diffraction (XRD) were used to characterize the structures of the PEO/mesoporous silica composites after they were held at 100 °C for up to 30 min. In both experiments, the melting temperature of the PEO decreased and ultimately disappeared. These results suggest that the PEO chains did penetrate into the silica pores, and since they were constrained in the pores, their crystallization was suppressed. This provides an interesting parallel to the disappearance of the glass transition temperatures of polymers constrained in the cavities of zeolites or in the galleries of intercalated clays.     

Hydrothermal synthesis,structure and photocatalytic property of nano-TiO<Subscript>2</Subscript>-MnO<Subscript>2</Subscript>

TiCl₄ and MnSO₄· H₂O as raw materials are hydrolyzed stiochiometrically, following the intermediate of oxide hydrating reacts at 150°C, 0.5 MPa in high-pressure reactor, after filtering, washing and drying, nanometric TiO₂-MnO₂ (Ti_1-X Mn _X O₂) is prepared. The effects of the reaction temperature and time on nanometric TiO₂-MnO₂ are also discussed. XRD shows that the product is TiO₂-MnO₂ with amorphous phase. After being sintered at above 780 °C, it transfers into Ti_1-X Mn _X O₂ with a rutile structure. TEM shows that TiO₂-MnO₂ is the spherical particle. And the average diameter of the particles is 20 nm. The optical absorbance was determined by UV-265 spectrophotometer after dispersing the sample in the mixture of water and glycerol with the ratio of 1 : 1 equably. It is found that the nano-material possesses the advantages of both nano-TiO₂ and nano-MnO₂, and it has strong absorption in the UV and visible region. Photodegradation of dyes in an aqueous solution is investigated using nanometricTiO₂-MnO₂ as a photocatalyst. The results show that after 60 min illumination, the decolorization rate of the acidic red B and acidic black 234 dye can be as high as 100%.     

Electrogenerated Chemiluminescence Ethanol Biosensor Based on Carbon Nanotube‐Titania‐Nafion Composite Film

Mesoporous titania‐Nafion composite doped with carbon nanotube (CNT) has been used for the immobilization of tris(2,2′‐bipyridyl)ruthenium(II) (Ru(bpy)₃²⁺) and alcohol dehydrogenase on an electrode surface to yield a highly sensitive and stable electrogenerated chemiluminescence (ECL) ethanol biosensor. The presence of CNT in the composite film increases not only the sensitivity of the ECL biosensor but also the long‐term stability of the biosensor. The present biosensor responds linearly to ethanol in the wide concentration ranges from 1.0×10^?5 M to 1.0×10^?1 M with a detection limit of 5.0×10^?6 M (S/N=3). The present ECL ethanol biosensor exhibited higher ECL response compared to that obtained with the ECL biosensor based on the corresponding composite without CNT. The present CNT‐based ECL biosensor showed good long‐term stability with 75% of its initial activity retained after 2 weeks of storage in 50 mM phosphate buffer at pH 7.0.     

A2 BNiX6型双钙钛矿分子光电性质的第一性原理研究

A2 BB′X6型双钙钛矿分子材料由于其结构稳定、性质优异、成本低廉等优点受到了人们的广泛关注,具有无毒、环境稳定性高等特点,同时也成为目前太阳能电池研究领域的热点.为了筛选优质的双钙钛矿分子,本文采用密度泛函理论设计了10种A2 BNiX6型双钙钛矿分子.研究了分子的结构稳定性、电子性质和光学性质,分析了不同位置的元素对其能带和光学性质的影响.研究结果表明,A2 BNiX6型双钙钛矿都是直接带隙,非常有利于可见光的吸收.尤其是X位置为F原子的A2 BNiF6的4种双钙钛矿带隙值为1.52～1.69 eV,非常适合作为光吸收材料.光学性质研究表明,A2 BNiF6双钙钛矿是一种透明材料,在透明发光材料方面具有广泛的应用前景.尽管相对于杂化泛函存在一定误差,但这些研究为双钙钛矿太阳能电池的吸光材料提供了理论支持.