@article{MAKHILLJEAS201813715970,
    title = {A Novel Approach for Image Encryption Using M-J Set},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {13},
    number = {7},
    pages = {1707-1712},
    year = {2018},
    issn = {1816-949x},
    doi = {jeasci.2018.1707.1712},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2018.1707.1712},
    author = {Yagyesh,Ashish and},
    keywords = {Image encryption,chaotic encryption,fractal encryption,Mandelbrot set,Julia set,kinds},
    abstract = {The range and potency of the cryptography keys are vital attributes regarding encryption and
decryption. The main objective is to achieve encryption of images with the help of chaotic encryption and
fractal methods. The proposed algorithm is based on the fixed point and M-J set. The fixed point is generated
by using iterative method of M-J set function. Random M-J set function can be used to generate fixed point.
The fixed point generated is used as encryption key. The encryption methodology is fast but a bit lossy. The
images are well encrypted and the keys used for encryption and decryption are robust enough to attain strong
encryption. There is infinite no of M-J set functions can be used to generate encryption key, thus, providing
extra layer of security for the users. Also, since, there is infinite no of Julia sets can be produced from different
complex functions, the strength of key used for encryption is extensively increased. The proposed method is
an effective method to achieve the encryption of images using fractals. It provides good level of encryption
without affecting the quality of images too much. It is used for protection of images against various kinds of
attacks.}
    }