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Optimizing multiplications with vector instructions

Hold Date
2017-02-13 15:45〜2017-02-13 16:45
Seminar Room W1-C-716, West Zone 1, Ito campus, Kyushu University
Object person
Chitchanok Chuengsatiansup (Technische Universiteit Eindhoven)

In this talk, I will explain techniques to achieve fast and secure implementations. I will introduce a vector unit which is a part of a CPU and ways to utilize it. I will also briefly emphasize the importance of and ways to prevent software side-channel attacks. Then, I will explain how to optimize scalar multiplication in Curve41417 and polynomial multiplication Streamlined NTRU Prime $9829^{739}$. Karatsuba's method play an important role in the former case, while combinations of Karatsuba's method and Toom--Cook's method are crucial in the latter case. Both implementations utilize the CPU's vector unit.