@inproceedings{58c6f3a7aa3043b298682d3904274d88,

title = "Pseudorandom vector sequences derived from triangular polynomial systems with constant multipliers",

abstract = "In this paper we study a new class of dynamical systems generated by iterations of a class of multivariate permutation polynomial systems. Using the same techniques studied previously for other generators, we bound exponential sums along the orbits of these dynamical systems and show that they admit stronger estimates than in the general case and thus can be of use for pseudorandom number generation. We also prove a nontrivial bound {"}on average{"} over all initial values V is an element of F(p)(m) on the discrepancy for pseudorandom vectors generated by these iterations.",

keywords = "Nonlinear pseudorandom number generators, triangular polynomial systems, exponential sums, discrepancy, NUMBERS",

author = "Alina Ostafe",

year = "2010",

doi = "10.1007/978-3-642-13797-6_5",

language = "English",

isbn = "9783642137969",

series = "Lecture Notes in Computer Science",

publisher = "Springer, Springer Nature",

pages = "62--72",

editor = "Hasan, {M. Anwar} and Tor Helleseth",

booktitle = "Arithmetic of finite fields",

address = "United States",

note = "3rd International Workshop on Arithmetic of Finite Fields ; Conference date: 27-06-2010 Through 30-06-2010",

}