It is known that a message can be transmitted safely against any wiretapper via a noisy channel without a secret key if the coding rate is less than the so-called secrecy capacity , which is usually smaller than the channel capacity . In order to remove the loss , we propose a multiplex coding scheme with plural independent messages. In this paper, it is shown that the proposed multiplex coding scheme can attain the channel capacity as the total rate of the plural messages and the perfect secrecy for each massage. Several bounds of achievable multiplex coding rate region are derived for general wiretap channels in the sense of information-spectral methods, by extending Hayashi's proof, in which the coding of the channel resolvability is applied to wiretap channels. Furthermore, the exact region for deterministic coding is determined for stationary memoryless full-rank wiretap channels.

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Dual intermolecular hydrophosphination of conjugated diynes with two equivalents of diphenylphosphine was catalyzed by ytterbium complexes, Yb(η 2-Ph 2 CNPh)(hmpa) 3 (1) and Yb[N(SiMe 3) 2 ] 3 (hmpa) 2 (2), to give the corresponding 1,4-bis(diphenylphosphinyl)buta-1,3-dienes in high yields after oxidative work-up. Distribution of the four possible stereoisomers sharply depended on substituents of the substrates. (Z,Z)-Isomers were predominantly obtained from the disubstituted 2 diynes, together with minor (Z,E)-isomers. On the other hand, the reaction of the terminal diynes provided major (E,Z) and minor (E,E)-butadienes. 1,4-Di-tert-butylbuta-1,3-diyne was exclusively converted to an allenic compound. Moreover, the dual hydrophosphination using phenyphosphine was also performed with 1 and 2. Thus, the reaction of two equivalents of aromatic alkynes with PhPH 2 and subsequent oxidation gave bis(alkenyl)phosphine oxides in preference of the (Z,Z)-stereoisomers.

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We propose a dynamic projection mapping system with effective machine-learning and high-speed edge-based object tracking using a single IR camera. The machine-learning techniques are used for precise 3D initial posture estimation from 2D IR images, as a detection process. After the detection, we apply an edge-based tracking process for real-time image projection. In this paper, we implement our proposal and actually achieve dynamic projection mapping. In addition, we evaluate the performance of our proposal through the comparison with a Kinect-based tracking system.

Polyoxymethylene (POM) has been widely utilized in industry due to its light weight properties in engineering plastics. At present, POM applications are expanding into the car industry, especially in fuel tanks. Hindered alkyl phenol derivatives have been used as antioxidants for POM; however, these compounds are easily extracted by solvents. Two antioxidants with new structures (N,N 0 -triethylenedioxy-bis(3-tert-butyl-4-hydroxy-5-methylhydrocinnamamide) and N,N 0 ,N 0 -tris[(3-tert-butyl-4-hydroxy-5-methylphenyl)propionyl-3-oxapentyl]melamine) were synthesized and characterized, and their performance as antioxidants for POM was investigated in the present study. The results revealed that N,N 0 -triethylenedioxybis(3-tert-butyl-4-hydroxy-5-methylhydrocinnamamide) has good heat aging resistance compared to existing antioxidants for POM, and N,N 0 ,N 0 -tris[(3-tert-butyl-4-hydroxy-5-methylphenyl)propionyl-3-oxa-pentyl]melamine has good extraction resistance against solvents.

A rapid synthesis of 1,3,4,5-tetraaryl-substituted pyrazoles has been achieved through a sequence of SN Ar reaction/Suzuki-Miyaura coupling/Pd-catalyzed direct arylations that used 3-iodo-1H-pyrazole as a scaffold. Pyrazoles with four different aryl groups were synthesized in a straightforward manner with no extra synthetic steps, such as protection/deprotection or the introduction of activating/directing groups, using readily available substrates and reagents. The developed synthetic approach enabled the structurally diverse synthesis of multiaryl-substituted pyrazoles without using a glovebox technique.