3 years ago

Comments on "Period distribution of the generalized discrete Arnold Cat map for $N=2^e$".

Jinhu Lü, Bingbing Feng, Chengqing Li

Chaotic dynamics is an important source for generating pseudorandom binary sequences. F. Chen, et al. precisely derived period distribution of the generalized discrete Arnold Cat map in Galois ring $\mathbb{Z}_{2^e}$ using Hensel's lifting approach (IEEE Trans. Inf. Theory, vol. 59, no. 5, pp. 3249--3255, 2013). However, the paper confused the period of point (state) with that of the whole map and overestimated impact of the work in chaos theory and cryptographic applications. This paper aims to clarify the problem by disclosing its real structure of the generalized discrete Arnold Cat map in any digital domain.

Publisher URL: http://arxiv.org/abs/1712.07905

DOI: arXiv:1712.07905v2

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.