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A Proof of Constructions for Balanced Boolean Function with Optimum Algebraic Immunity
Yindong Chen,Wei Tian,Ya-nan Zhang 보안공학연구지원센터 2015 International Journal of Security and Its Applicat Vol.9 No.2
Algebraic immunity is a cryptographic criterion for Boolean functions used in cryptosystem to resist algebraic attacks. They usually should have high algebraic immunity. Chen proposed a first order recursive construction of Boolean functions and checked that they had optimum algebraic immunity for n<8.This paper gives a detail proof of having optimum algebraic and being balanced for all n>0.
Bin, Haijun,Yang, Yankang,Zhang, Zhi-Guo,Ye, Long,Ghasemi, Masoud,Chen, Shanshan,Zhang, Yindong,Zhang, Chunfeng,Sun, Chenkai,Xue, Lingwei,Yang, Changduk,Ade, Harald,Li, Yongfang American Chemical Society 2017 JOURNAL OF THE AMERICAN CHEMICAL SOCIETY - Vol.139 No.14
<P>In the last two years, polymer solar cells (PSCs) developed quickly with n-type organic semiconductor (n-OSs) as acceptor. In contrast, the research progress of nonfullerene organic solar cells (OSCs) with organic small molecule as donor and the n-OS as acceptor lags behind. Here, we synthesized a D-A structured medium bandgap organic small molecule H11 with bithienyl-benzodithiophene (BDTT) as central donor unit and fluorobenzo-triazole as acceptor unit, and achieved a power conversion efficiency (PCE) of 9.73% for the all organic small molecules OSCs with H11 as donor and a low bandgap n-OS IDIC as acceptor. A control molecule H12 without thiophene conjugated side chains on the BDT unit was also synthesized for investigating the effect of the thiophene conjugated side chains on the photovoltaic performance of the p-type organic semiconductors (p-OSs). Compared with H12, the 2D-conjugated H11 with thiophene conjugated side chains shows intense absorption, low-lying HOMO energy level, higher hole mobility and ordered bimodal crystallite packing in the blend films. Moreover, a larger interaction parameter (chi) was observed in the H11 blends calculated from Hansen solubility parameters and differential scanning calorimetry measurements. These special features combined with the complementary absorption of H11 donor and IDIC acceptor resulted in the best PCE of 9.73% for nonfullerene all small molecule OSCs up to date. Our results indicate that fluorobenzotriazole based 2D conjugated p-OSs are promising medium bandgap donors in the nonfullerene OSCs.</P>