A study of an automorphism on the logistic maps over prime fields

Author

Miyazaki, T. ; Araki, S. ; Uehara, S. ; Nogami, Y.

Author_Institution

Fac. of Environ. Eng., Univ. of Kitakyushu, Kitakyushu, Japan

fYear

2014

fDate

26-29 Oct. 2014

Firstpage

714

Lastpage

718

Abstract

In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.

Keywords

number theory; random number generation; automorphism; control values; logistic maps; map aptitude; prime fields; pseudorandom number generators; real domain; Australia; Cities and towns; Equations; Generators; Information theory; Logistics; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory and its Applications (ISITA), 2014 International Symposium on

Conference_Location

Melbourne, VIC

Type

conf

Filename

6979937

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=181808