Table 13 Correlation coefficients of encrypted images in the exemplar design using Structure 3 in Fig. 1c.
From: Novel structures of chaos-based parallel multiple image encryption and FPGA implementation
Correlation coefficients in horizontal | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 0.0019 | 0.0003 | 0.0015 | 0.0017 | -0.0014 | 0.0005 | 0.0001 | -0.0031 | -0.0010 | -0.0017 | 0.0001 | -0.0007 | -0.0033 | 0.0016 | 0.0004 |
Flowers | 0.0040 | 0.0000 | 0.0008 | -0.0007 | 0.0005 | 0.0048 | 0.0000 | -0.0019 | -0.0039 | -0.0002 | 0.0025 | -0.0040 | -0.0015 | -0.0024 | -0.0045 |
Peppers | 0.0002 | -0.0017 | 0.0009 | -0.0019 | 0.0003 | 0.0011 | 0.0003 | 0.0009 | -0.0028 | -0.0008 | 0.0016 | -0.0042 | 0.0006 | -0.0007 | 0.0003 |
Goldhill | 0.0032 | 0.0017 | 0.0003 | -0.0016 | -0.0002 | -0.0021 | -0.0018 | -0.0003 | 0.0005 | 0.0004 | 0.0001 | -0.0007 | 0.0028 | 0.0010 | 0.0002 |
Black | -0.0007 | 0.0024 | 0.0023 | 0.0006 | -0.0017 | ||||||||||
Boats | 0.0003 | 0.0007 | -0.0003 | 0.0015 | -0.0041 | ||||||||||
Clock | -0.0027 | -0.0025 | 0.0072 | 0.0067 | -0.0027 | ||||||||||
White | -0.0012 | 0.0000 | -0.0024 | -0.0001 | 0.0004 | ||||||||||
Average | 0.0006 | 0.0001 | -0.0004 | 0.0001 | -0.0009 | ||||||||||
Correlation coefficients in vertical | |||||||||||||||
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 0.0003 | -0.0028 | 0.0003 | 0.0031 | -0.0011 | 0.0018 | 0.0007 | 0.0014 | 0.0014 | 0.0020 | 0.0013 | -0.0012 | -0.0025 | -0.0006 | 0.0002 |
Flowers | 0.0013 | 0.0047 | 0.0046 | 0.0013 | -0.0032 | 0.0003 | -0.0043 | -0.0008 | 0.0049 | -0.0009 | 0.0022 | 0.0011 | -0.0002 | -0.0008 | -0.0035 |
Peppers | 0.0015 | -0.0011 | -0.0001 | 0.0008 | -0.0019 | 0.0016 | 0.0025 | 0.0014 | 0.0018 | -0.0004 | 0.0011 | -0.0020 | 0.0017 | 0.0001 | 0.0002 |
Goldhill | 0.0001 | 0.0014 | -0.0024 | 0.0010 | -0.0021 | 0.0026 | 0.0029 | -0.0022 | -0.0026 | -0.0003 | 0.0005 | -0.0023 | -0.0008 | 0.0001 | 0.0007 |
Black | 0.0006 | 0.0000 | -0.0009 | -0.0010 | -0.0007 | ||||||||||
Boats | 0.0002 | -0.0006 | 0.0014 | -0.0003 | -0.0021 | ||||||||||
Clock | 0.0069 | -0.0030 | 0.0003 | 0.0031 | 0.0056 | ||||||||||
White | -0.0010 | 0.0020 | -0.0005 | -0.0014 | -0.0005 | ||||||||||
Average | 0.0009 | 0.0002 | 0.0005 | 0.0001 | -0.0002 | ||||||||||
Correlation coefficients in diagonal | |||||||||||||||
\(N_e\) | 1 | 2 | 3 | 4 | 5 | ||||||||||
Channel | R | G | B | R | G | B | R | G | B | R | G | B | R | G | B |
Baboon | 0.0008 | 0.0034 | 0.0015 | -0.0015 | 0.0000 | -0.0002 | 0.0003 | 0.0019 | -0.0009 | 0.0012 | -0.0018 | 0.0012 | -0.0031 | 0.0006 | 0.0003 |
Flowers | -0.0024 | 0.0033 | 0.0055 | 0.0006 | -0.0011 | 0.0000 | -0.0003 | -0.0018 | 0.0000 | 0.0007 | 0.0042 | 0.0056 | 0.0025 | 0.0015 | -0.0057 |
Peppers | -0.0011 | -0.0026 | -0.0005 | -0.0019 | 0.0004 | 0.0018 | -0.0002 | -0.0014 | -0.0004 | 0.0017 | -0.0020 | -0.0016 | 0.0017 | -0.0005 | 0.0003 |
Goldhill | -0.0026 | 0.0004 | -0.0016 | 0.0009 | -0.0006 | 0.0019 | -0.0006 | -0.0008 | 0.0006 | -0.0008 | -0.0013 | -0.0007 | -0.0006 | -0.0004 | 0.0007 |
Black | 0.0015 | 0.0008 | -0.0027 | 0.0027 | 0.0005 | ||||||||||
Boats | 0.0013 | -0.0007 | 0.0010 | 0.0005 | 0.0029 | ||||||||||
Clock | -0.0067 | 0.0027 | 0.0003 | -0.0002 | -0.0017 | ||||||||||
White | -0.0011 | -0.0020 | 0.0000 | 0.0004 | 0.0014 | ||||||||||
Average | -0.0001 | 0.0001 | -0.0003 | 0.0006 | 0.0000 | ||||||||||
