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Cyclic Vector Multiplication Algorithm Based on a Special Class of Gauss Period Normal Basis
Hidehiro Kato,Yasuyuki Nogami,Tomoki Yoshida,Yoshitaka Morikawa 한국전자통신연구원 2007 ETRI Journal Vol.29 No.6
This paper proposes a multiplication algorithm for Fpm, which can be efficiently applied to many pairs of characteristic p and extension degree m except for the case that 8p divides m(p–1). It uses a special class of type-〈k, m〉 Gauss period normal bases. This algorithm has several advantages: it is easily parallelized; Frobenius mapping is easily carried out since its basis is a normal basis; its calculation cost is clearly given; and it is sufficiently practical and useful when parameters k and m are small.
Chun-Feng Hu,김병남,박영조,Koji Morita,Hidehiro Yoshida,Salvatore Grasso,Hai-Bin Zhang,Shu-Qi Guo,Yoshio Sakka 한양대학교 세라믹연구소 2015 Journal of Ceramic Processing Research Vol.16 No.3
Nano ZrO2-10 vol.% TiN composite was fabricated by spark plasma sintering (SPS) using nano sized 3Y-ZrO2 and TiN particles as initial materials. The effects of sintering temperature of 1100-1300 o C, heating rate of 2-250 o C/min, annealing time of 5-120 min, and applied pressure of 20-100 MPa on the microstructure and mechanical properties were systemically investigated. It was confirmed that the main compositions of densified composites were t-ZrO2 and c-TiN. Both the sintering temperature above 1100 o C and the applied pressure above 60 MPa were the most important factors to affect the full densification of composites. The grain sizes of ZrO2 and TiN were kept below 243 and 171 nm, respectively. Vickers hardness of 13.90-15.53 GPa, fracture toughness of 2.91-5.44 MPa • m1/2, and Young’s modulus of 216.2-228.0 GPa of dense composites ascribed to the sintering parameters were discussed.