Elements of RSA Algorithm and Extra Noising in a Binary Linear-Quadratic Transformations During Encryption and Decryption of Images

Abstract

An algorithm is proposed for encryptingdecrypting images using RSA algorithm elements, as the most cryptographically resistant to unauthorized decryption related to images with strictly clear edges. It is proposed to use RSA algorithm elements as coefficients of some linear-quadratic affine transformation. The proposed algorithm has a higher cryptographic stability compared to RSA algorithm.

Rsa Algorithm Elements in Ternary Affine Transformations in Encryption-Decryption of Images

“…Elements of the RSA algorithm are called prime numbers P and Q, as well as numbers e and d from the congruence ed ≡ 1 (mod φ(N)), N = P *Q, φ(N), is an Euler's function. Let us assume that the image is matched by a color matrix (matrix of pixel intensities) [13][14][15] 1…”

A New Algorithm for Digital Image Encryption Based on Chaos Theory

“…These results were set to not give rise to the presence of contours in the encrypted image [ 32 ]. Additionally, other approaches, such as linear and quadratic fractal algorithms [ 33 , 34 ], projective transformations [ 35 ], and binary linear-quadratic transformations [ 36 ], are also used for image encryption and decryption. A model of image encryption based on a complex chaos-based pseudorandom number generator and modified advanced encryption standard was proposed by Hafsa et al On the Altera Cyclone III board, the overall system was created.…”