Welcome to the resource topic for 2014/657
Title:
On the cycle decomposition of the WG-NLFSR
Authors: YUjuan Li, Wnehua Shen, Huaifu Wang, Peipei Zhou
Abstract:Recently, Kalikinkar Mandal and Guang Gong presented a family of nonlinear pseudorandom number generators using Welch-Gong Transformations in their paper [6]. They also performed the cycle decomposition of the WG-NLFSR recurrence relations over different finite fields by computer simulations where the nonlinear recurrence relation is composed of a characteristic polynomial and a WG permutation. In this paper, we mainly prove that the state transition transformation of the WG-NLFSR is an even permutation. We also prove that the number of the cycles in the cycle decomposition of WG-NLFSR is even. And we apply our results to the filtering WG7-NLFSR to prove that the period of the sequences generated by WG7-NLFSR can not be maximum.
ePrint: https://eprint.iacr.org/2014/657
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .