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On the Naor–Reingold Pseudo-Random Function from Elliptic Curves

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

We show that the elliptic curve analogue of the pseudo-random function, introduced recently by M. Naor and O. Reingold, produces a uniformly distributed sequence for almost all values of parameters. This result generalizes some previous results of the author about the distribution of the original function of M. Naor and O. Reingold. The proof is based on some recent bounds of character sums over subgroups of the point group of elliptic curves.

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Authors and Affiliations

  1. Department of Computing, Macquarie University, Sydney, NSW 2109, Australia (e-mail: igor@comp.mq.edu.au), , , , , , AU

    Igor E. Shparlinski

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  1. Igor E. Shparlinski
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Received: June 21, 1999; revised version: January 28, 2000

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Shparlinski, I. On the Naor–Reingold Pseudo-Random Function from Elliptic Curves. AAECC 11, 27–34 (2000). https://doi.org/10.1007/s002000000023

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  • DOI: https://doi.org/10.1007/s002000000023