Open AccessN ‐phase logistic chaotic sequence and its application for image encryption
Author(s) -
Liu Lingfeng,
Miao Suoxia,
Hu Hanping,
Cheng Mengfan
Publication year - 2016
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
eISSN - 1751-9683
pISSN - 1751-9675
DOI - 10.1049/iet-spr.2015.0522
Subject(s) - encryption , shuffling , randomness , algorithm , independent and identically distributed random variables , chaotic , cryptography , sequence (biology) , pseudorandom number generator , computer science , image (mathematics) , mathematics , theoretical computer science , artificial intelligence , random variable , statistics , computer security , biology , genetics
In this study, the authors use a non‐symmetric partition to generate N ‐phase pseudorandom sequences using the logistic maps. The theoretical analysis shows that this N ‐phase logistic sequence is with uniform distribution, as well as independent and identically distributed. Numerical experiments show that these N ‐phase logistic sequences have high complexity and are with good randomness. A fast algorithm with its time complexity be O ( M ) is proposed to generate these N ‐phase sequences. Furthermore, they propose a new image encryption algorithm based on the N ‐phase logistic sequence, which is combined with both shuffling and substitution algorithms. Several security tests are carried out to demonstrate that the authors’ new algorithm is with a high security level, and can resist various attacks, which can be competitive with some other recently proposed image encryption algorithms.