Abstract
Recently, binary sequences generated by chaotic maps have been widely studied. In particular, the logistic map is used as one of the chaotic map. However, if the logistic map is implemented by using unite precision computer arithmetic, rounding is required. In order to avoid rounding, Miyazaki, Araki, Uehara and Nogami proposed the logistic map over finite fields, and show some properties of sequences generated by the logistic map over finite fields. In this paper, we show some properties of periods of sequences generated by the logistic map over finite fields with control parameter four. In particular, we show conditions for parameters and initial values to have a long period, and asymptotic properties for periods by numerical experiments.
| Original language | English |
|---|---|
| Title of host publication | 7th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2015 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 155-159 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781467383080 |
| DOIs | |
| Publication status | Published - Apr 22 2016 |
| Event | 7th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2015 - Bengaluru, India Duration: Sep 13 2015 → Sep 18 2015 |
Other
| Other | 7th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2015 |
|---|---|
| Country | India |
| City | Bengaluru |
| Period | 9/13/15 → 9/18/15 |
Keywords
- Hyperbola
- Legendre symbol
- logistic map over finite fields
- long period sequences
- square map
ASJC Scopus subject areas
- Computer Networks and Communications
- Signal Processing