中国科学院晨兴数学中心
CAS Seminar
Speaker: Prof. Chung Pang Mok (Soochow University)
Time: 16:00-17:00 August 30, 2022 (Tuesday)
Place: MCM 110 & Online (Zoom ID: 4663562952 Password: mcm1234)
Title: Pseudorandom Vectors Generation Using Elliptic Curves Over Finite Fields I
Abstract: Using the arithmetic of elliptic curves over finite fields, we present an algorithm for the efficient generation of sequence of uniform pseudorandom vectors in high dimension with long period, that simulates sample sequence of a sequence of independent identically distributed random variables, with values in the hypercube $[0,1]^d$ with uniform distribution. Time allows we will also discuss application to the simulation of sequence of independent Wiener processes.
Speaker: Prof. Chung Pang Mok (Soochow University)
Time: 16:00-17:00 August 31, 2022 (Wednesday)
Place: MCM 110 & Online (Zoom ID: 4663562952 Password: mcm1234)
Title: Pseudorandom Vectors Generation Using Elliptic Curves Over Finite Fields II
Abstract: Using the arithmetic of elliptic curves over finite fields, we present an algorithm for the efficient generation of sequence of uniform pseudorandom vectors in high dimension with long period, that simulates sample sequence of a sequence of independent identically distributed random variables, with values in the hypercube $[0,1]^d$ with uniform distribution. Time allows we will also discuss application to the simulation of sequence of independent Wiener processes.
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