A hybrid chaotic map with coefficient improved whale optimization-based parameter tuning for enhanced image encryption

Chaotic Map Optimization for Image Encryption Using Triple Objective Differential Evolution Algorithm

“…Suggested IEs have their own advantages and disadvantages considering the cryptanalyses. In general, they are based on logistic [11], [12], [15], [17], [18], [21], [25], sine/cosine [23], [25], [29], memristive [24], henon [29], Chebyshev [32], coupled lattice [10] and cellular automata [31], [40]. As the cryptanalyses are compared among each other, the key-spaces in [10], [19], [22]- [24], [28], [32] can be regarded the shorter, those in [14], [18], [26], [36] are medium and those in [11], [16], [20], [21], [25], [29], [34], [35], [40], [41] are considered the longer.…”

“…As the cryptanalyses are compared among each other, the key-spaces in [10], [19], [22]- [24], [28], [32] can be regarded the shorter, those in [14], [18], [26], [36] are medium and those in [11], [16], [20], [21], [25], [29], [34], [35], [40], [41] are considered the longer. The mean entropy can be quantized better [20], moderate [14], [24]- [31], [41] and worse [10], [11], [15], [18], [19], [21], [32]- [34], [40]. As the mean correlation coefficients for diagonal, horizontal and vertical directions in [11], [12], [14], [24] seem lower, those in [15], [16], [31]- [36], [40], [41], [19]- [21], [23], …”

“…The mean entropy can be quantized better [20], moderate [14], [24]- [31], [41] and worse [10], [11], [15], [18], [19], [21], [32]- [34], [40]. As the mean correlation coefficients for diagonal, horizontal and vertical directions in [11], [12], [14], [24] seem lower, those in [15], [16], [31]- [36], [40], [41], [19]- [21], [23], [26]- [29] appears moderate and those in [10], [13], [18], [25], [30] look higher. Differential attack can be analyzed in terms of NPCR and UACI which are the randomness test.…”

“…Metaheuristic optimizations particularly the nature-inspired algorithms have been widely implemented to IE with single or multi-objective algorithms [9] in order to increase the efficiency of the cryptography. Metaheuristic algorithms such as genetic algorithm (GA) [10], particle swarm optimization (PSO) [11], [12], ant colony algorithm (ACO) [13], artificial bee colony (ABC) [14], whale optimization algorithm (WOA) [15], steepest descent optimization (SDO) [16], golden sine algorithm (GSA) [17] and differential evolution (DE) [18] that implemented to IE have many species. Various IE schemes based on different kind of chaotic maps and optimization algorithms have been suggested in the literature.…”

“…Accomplishing an IE scheme is usually examined through various quantitative cryptanalyses such as noise attack, key sensitivity, differential attack, cropping attack, information entropy, histogram, correlation, key-space. The related studies with optimization [10], [11], [21], [22], [12]- [16], [18]- [20] and without optimization [10], [11], [22]- [31], [12], [32]- [36], [13], [15], [16], [18]- [21] are elaborately surveyed and compared with our IE scheme with respect to the cryptanalyses in the following section. The developed IE schemes appear to have certain strengths and weaknesses in the encryption processes and are particularly better in cryptanalysis [37].…”