On Pseudorandom Properties of Certain Sequences of Points on Elliptic Curve

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10064)

Abstract

In this paper we study the pseudorandom properties of sequences of points on elliptic curves. These sequences are constructed by taking linear combinations with small coefficients (e.g. \(-1,0,+1\)) of the orbit elements of a point with respect to a given endomorphism of the curve. We investigate the linear complexity and the distribution of these sequences. The result on the linear complexity answers a question of Igor Shparlinski.

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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.Johann Radon Institute for Computational and Applied MathematicsAustrian Academy of SciencesLinzAustria

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