Improving results on the pseudorandomness of sequences generated via the additive order of a finite field


Merai L., YAYLA O.

DISCRETE MATHEMATICS, cilt.338, ss.2020-2025, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 338 Konu: 11
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.disc.2015.04.015
  • Dergi Adı: DISCRETE MATHEMATICS
  • Sayfa Sayıları: ss.2020-2025

Özet

We improve several results in the area of pseudorandom sequences. First, we obtain an improved bound on the general lattice test for digital explicit inversive and digital explicit nonlinear pseudorandom number generators. Second, we improve the bound on the correlation measure of binary sequences generated by the quadratic character of finite fields. Finally, we improve the bound on the correlation measure of digital explicit inversive pseudorandom numbers, and the bound on their linear complexity profile.