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 $\mathbb{Z}_N$.
- 2010-10-01
著者
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CHEN Zhixiong
Putian University
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Zhou Liang
National Key Laboratory Of Science And Technology On Communications Univ Of Electronic Science And T
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Li Shengqiang
National Key Laboratory Of Science And Technology On Communications Univ Of Electronic Science And T
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Chen Zhixiong
Putian Univ. Fujian Chn
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ZHOU Liang
National Key Laboratory of Communications, University of Electronic Science and Technology of China
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LI Shengqiang
National Key Laboratory of Communications, University of Electronic Science and Technology of China
関連論文
- Large Family of Sequences from Elliptic Curves over Residue Class Rings
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