Table 18 Exemplar simulation for Structure 3 in Fig. 1c: Sensitivity of secret key by NPCR.
From: Novel structures of chaos-based parallel multiple image encryption and FPGA implementation
Sensitivity on \(\gamma ^{(2)}_0\) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 99.606 | 99.620 | 99.617 | 99.607 | 99.587 | 99.615 | 99.617 | 99.595 | 99.613 | 99.602 | 99.601 | 99.602 | 99.615 | 99.611 | 99.597 |
Flowers | 99.606 | 99.603 | 99.610 | 99.610 | 99.604 | 99.587 | 99.610 | 99.617 | 99.586 | 99.622 | 99.599 | 99.601 | 99.597 | 99.603 | 99.610 |
Peppers | 99.619 | 99.620 | 99.617 | 99.601 | 99.621 | 99.624 | 99.623 | 99.609 | 99.607 | 99.621 | 99.596 | 99.607 | 99.612 | 99.621 | 99.626 |
Goldhill | 99.601 | 99.618 | 99.609 | 99.620 | 99.599 | 99.602 | 99.612 | 99.607 | 99.623 | 99.605 | 99.600 | 99.608 | 99.606 | 99.602 | 99.607 |
Black | 99.613 | 99.619 | 99.612 | 99.592 | 99.614 | ||||||||||
Boats | 99.602 | 99.631 | 99.613 | 99.603 | 99.618 | ||||||||||
Clock | 99.635 | 99.661 | 99.611 | 99.599 | 99.622 | ||||||||||
White | 99.606 | 99.603 | 99.607 | 99.603 | 99.600 | ||||||||||
Average | 99.613 (Pass) | 99.612 (Pass) | 99.610 (Pass) | 99.604 (Pass) | 99.610 (Pass) | ||||||||||
Sensitivity on \(\gamma ^{(1)}_0\) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 99.625 | 99.592 | 99.625 | 99.608 | 99.602 | 99.607 | 99.590 | 99.639 | 99.610 | 99.604 | 99.598 | 99.627 | 99.614 | 99.593 | 99.615 |
Flowers | 99.608 | 99.595 | 99.585 | 99.636 | 99.626 | 99.635 | 99.636 | 99.577 | 99.610 | 99.614 | 99.591 | 99.583 | 99.624 | 99.634 | 99.606 |
Peppers | 99.618 | 99.617 | 99.622 | 99.599 | 99.611 | 99.624 | 99.631 | 99.607 | 99.615 | 99.609 | 99.617 | 99.621 | 99.622 | 99.617 | 99.598 |
Goldhill | 99.602 | 99.616 | 99.615 | 99.608 | 99.604 | 99.631 | 99.605 | 99.619 | 99.614 | 99.606 | 99.601 | 99.596 | 99.617 | 99.595 | 99.612 |
Black | 99.600 | 99.610 | 99.604 | 99.605 | 99.596 | ||||||||||
Boats | 99.603 | 99.616 | 99.588 | 99.611 | 99.615 | ||||||||||
Clock | 99.647 | 99.641 | 99.576 | 99.586 | 99.641 | ||||||||||
White | 99.607 | 99.610 | 99.604 | 99.598 | 99.618 | ||||||||||
Average | 99.611 (Pass) | 99.617 (Pass) | 99.608 (Pass) | 99.604 (Pass) | 99.614 (Pass) | ||||||||||
Sensitivity on \(x^{(2)}_0\) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 99.605 | 99.591 | 99.607 | 99.615 | 99.585 | 99.590 | 99.624 | 99.615 | 99.615 | 99.598 | 99.584 | 99.605 | 99.612 | 99.614 | 99.633 |
Flowers | 99.584 | 99.632 | 99.593 | 99.616 | 99.608 | 99.627 | 99.613 | 99.605 | 99.606 | 99.601 | 99.615 | 99.604 | 99.598 | 99.626 | 99.619 |
Peppers | 99.618 | 99.620 | 99.599 | 99.619 | 99.600 | 99.611 | 99.614 | 99.592 | 99.618 | 99.631 | 99.614 | 99.604 | 99.622 | 99.604 | 99.593 |
Goldhill | 99.603 | 99.610 | 99.617 | 99.606 | 99.611 | 99.597 | 99.619 | 99.611 | 99.610 | 99.615 | 99.608 | 99.623 | 99.588 | 99.592 | 99.616 |
Black | 99.625 | 99.617 | 99.605 | 99.607 | 99.607 | ||||||||||
Boats | 99.612 | 99.603 | 99.595 | 99.622 | 99.629 | ||||||||||
Clock | 99.576 | 99.635 | 99.606 | 99.612 | 99.617 | ||||||||||
White | 99.612 | 99.604 | 99.600 | 99.606 | 99.603 | ||||||||||
Average | 99.607 (Pass) | 99.609 (Pass) | 99.609 (Pass) | 99.609 (Pass) | 99.611 (Pass) | ||||||||||
Sensitivity on \(x^{(1)}_0\) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 99.606 | 99.591 | 99.628 | 99.605 | 99.605 | 99.602 | 99.594 | 99.611 | 99.611 | 99.624 | 99.602 | 99.598 | 99.610 | 99.605 | 99.598 |
Flowers | 99.604 | 99.608 | 99.636 | 99.633 | 99.596 | 99.603 | 99.590 | 99.615 | 99.609 | 99.586 | 99.601 | 99.610 | 99.601 | 99.614 | 99.619 |
Peppers | 99.615 | 99.599 | 99.609 | 99.620 | 99.617 | 99.619 | 99.621 | 99.600 | 99.591 | 99.601 | 99.621 | 99.623 | 99.607 | 99.608 | 99.619 |
Goldhill | 99.617 | 99.609 | 99.614 | 99.619 | 99.612 | 99.609 | 99.619 | 99.626 | 99.605 | 99.612 | 99.628 | 99.592 | 99.610 | 99.596 | 99.612 |
Black | 99.601 | 99.626 | 99.610 | 99.622 | 99.605 | ||||||||||
Boats | 99.612 | 99.584 | 99.621 | 99.606 | 99.613 | ||||||||||
Clock | 99.590 | 99.626 | 99.629 | 99.649 | 99.600 | ||||||||||
White | 99.610 | 99.609 | 99.606 | 99.596 | 99.615 | ||||||||||
Average | 99.609 (Pass) | 99.612 (Pass) | 99.610 (Pass) | 99.611 (Pass) | 99.608 (Pass) | ||||||||||
Sensitivity on \(S_0\) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 99.610 | 99.606 | 99.608 | 99.602 | 99.610 | 99.615 | 99.620 | 99.623 | 99.603 | 99.623 | 99.604 | 99.622 | 99.617 | 99.613 | 99.602 |
Flowers | 99.599 | 99.609 | 99.588 | 99.602 | 99.599 | 99.602 | 99.613 | 99.622 | 99.628 | 99.617 | 99.607 | 99.608 | 99.570 | 99.622 | 99.592 |
Peppers | 99.618 | 99.621 | 99.591 | 99.621 | 99.617 | 99.602 | 99.599 | 99.608 | 99.614 | 99.597 | 99.603 | 99.621 | 99.623 | 99.619 | 99.611 |
Goldhill | 99.597 | 99.617 | 99.607 | 99.628 | 99.613 | 99.612 | 99.603 | 99.616 | 99.613 | 99.610 | 99.607 | 99.615 | 99.609 | 99.602 | 99.635 |
Black | 99.618 | 99.618 | 99.605 | 99.590 | 99.604 | ||||||||||
Boats | 99.616 | 99.626 | 99.609 | 99.596 | 99.603 | ||||||||||
Clock | 99.602 | 99.657 | 99.594 | 99.574 | 99.580 | ||||||||||
White | 99.617 | 99.611 | 99.608 | 99.621 | 99.620 | ||||||||||
Average | 99.608 (Pass) | 99.615 (Pass) | 99.611 (Pass) | 99.607 (Pass) | 99.608 (Pass) | ||||||||||
