Large Family of Sequences from Elliptic Curves over Residue Class Rings

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概要

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• An upper bound is established for certain exponential sums on the rational points of an elliptic curve over a residue class ring $\mathbb{Z}_N$, N=pq for two distinct odd primes p and q. The result is a generalization of an estimate of exponential sums on rational point groups of elliptic curves over finite fields. The bound is applied to showing the pseudorandomness of a large family of binary sequences constructed by using elliptic curves over $\mathbb{Z}_N$.

著者

• LI Shengqiang

  National Key Laboratory of Science and Technology on Communications, Univ of Electronic Science and

• CHEN Zhixiong

  Putian University

• ZHOU Liang

  National Key Laboratory of Science and Technology on Communications, Univ of Electronic Science and

関連論文

• Large Family of Sequences from Elliptic Curves over Residue Class Rings
• Large Family of Sequences from Elliptic Curves over Residue Class Rings

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