Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
Period of the power generator and small values of Carmichael's function
Mathematics of Computation
On the Linear Complexity of the Naor–Reingold Pseudo-random Function from Elliptic Curves
Designs, Codes and Cryptography
Number-theoretic constructions of efficient pseudo-random functions
Journal of the ACM (JACM)
Dynamical systems generated by rational functions
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
The Period Lengths of Inversive Pseudorandom Vector Generations
Finite Fields and Their Applications
On the linear complexity of the Naor-Reingold sequence with elliptic curves
Finite Fields and Their Applications
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In this paper we study the period of the Naor-Reingold sequence. We prove that if the parameters used to define the sequence are chosen uniformly at random, then it reaches the maximum period on average.