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Published in:
2008 | OriginalPaper | Chapter
Pseudo-Randomness of Discrete-Log Sequences from Elliptic Curves
Authors : Zhixiong Chen, Ning Zhang, Guozhen Xiao
Published in: Information Security and Cryptology
Publisher: Springer Berlin Heidelberg
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We investigate an upper bound on the discrepancy and a lower bound on the linear complexity of a class of sequences, derived from elliptic curves by using discrete logarithm in this paper. The results indicate that these sequences may have ‘nice’ pseudo-random properties. The important tool in the proof is certain character sums estimate along elliptic curves. In addition, we apply linear recurrence relation over elliptic curves to output binary sequences with very interesting pseudo-random behavior.