Exploring a novel fusion-scheme based on mathematical equation system for encryption-image algorithm
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Exploring a novel fusion-scheme based on mathematical equation system for encryption-image algorithm ˜ 1 Delia Torres-Munoz
2 · Carlos Hernandez-Mej´ ´ ´ ´ · Hector Vazquez-Leal ıa1
Received: 30 May 2019 / Revised: 16 March 2020 / Accepted: 4 June 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Exploring the conception of robust encryption techniques for the security of digital images is a permanent necessity due to the existence of the Internet where sending and receiving information to establish communication is a high priority activity. Encryption process is carried out by data transformation, i.e. shuffled or scrambled, so that the information can not be read by an unauthorized receiver and it can exclusively be decrypted using valid-keys. In this paper, a novel fusion-scheme based on mathematical equation system for encryptionimage algorithm is explored. In order to do that, numerical pixels are introduced in a system of equations for fusing images with three different private-keys. In addition, classical tests between original and encrypted images such as correlation coefficient, number of changing pixel rate (NPCR), unified average changed intensity (UACI) and entropy have been carried out to support the effectiveness of image fusion for image encryption. Keywords Encryption image · Linear equation system · Fusion image · Statistics attack
1 Introduction Transmission and exchange of information using communication systems such as satellites and Internet involves security risks due to vulnerable access to confidential documents. In multimedia networks, images are the most searched, uploaded and shared documents and due to characteristics of high capacity, redundancy and high concentration among their Delia Torres-Mu˜noz
[email protected] H´ector V´azquez-Leal [email protected] Carlos Hern´andez-Mej´ıa [email protected] 1
Universidad de Xalapa, Escuela de Ingenier´ıas, Xalapa, Ver, Mexico
2
Universidad Veracruzana, Facultad de Instrumentaci´on y Ciencias Atmosf´ericas, Maestr´ıa en Ingenier´ıa Electr´onica y Computaci´on, Xalapa, Ver, Mexico
Multimedia Tools and Applications
pixels they are the most vulnerable information to attacks. Encryption of images represent a way in order to guarantees high security because exclusively authorized receivers have valid-keys to extract the original image. In the area of encryption, powerful algorithms such as Data Encryption Standard (DES) and Advanced Encryption Standard (AES) have been extensively explored to encrypt information. However, they are not suitable to handle the real-time enciphering due to requirement of high computational efficiency [6, 7, 12]. In addition, these methods are not suitable for the encryption of images and videos due to the high correlation between the pixels of the images, the large size of the data and the high redundancy. Therefore, the images should be considered as information that requires alternative techniques to achieve high performance encryption. Basic techniques in order to encryp
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