Table 16 Difference rates between two images encrypted with minimally varied keys.
From: A novel pythonic paradigm for image encryption using axis-aligned bounding boxes
Secret security keys | Difference rates(%) | Resolution chart | Couple | Pigeon | F16 | Female | Baboon | |
|---|---|---|---|---|---|---|---|---|
Clock | Moon | |||||||
\(U_{1} (x_{0}{'} = x_{0} + \delta )\) | 99.6187 | 99.5965 | 99.6076 | 99.6156 | 99.6082 | 99.6271 | 99.6161 | 99.6283 |
\(U_{2} (y_{0}{'} = y_{0} + \delta )\) | 99.6084 | 99.6274 | 99.6256 | 99.6073 | 99.6037 | 99.6137 | 99.5953 | 99.6209 |
\(U_{3} (z_{0}{'} = z_{0} + \delta )\) | 99.6072 | 99.5967 | 99.5852 | 99.6478 | 99.6074 | 99.6046 | 99.6376 | 99.6016 |
\(U_{4} (w_{0}{'} = w_{0} + \delta )\) | 99.6370 | 99.6027 | 99.6273 | 99.5854 | 99.6172 | 99.6069 | 99.6146 | 99.6067 |
\(U_{5} (v_{0}{'} = v_{0} + \delta )\) | 99.6178 | 99.5893 | 99.6318 | 99.6139 | 99.5982 | 99.6308 | 99.6176 | 99.6206 |
\(U_{6} (a{'} = a + \delta )\) | 99.5903 | 99.5963 | 99.5858 | 99.6138 | 99.5852 | 99.5992 | 99.5965 | 99.6287 |
\(U_{7} (b{'} = b + \delta )\) | 99.6086 | 99.6327 | 99.5932 | 99.6021 | 99.6094 | 99.6327 | 99.6203 | 99.6156 |
\(U_{8} (c{'} = c + \delta )\) | 99.6118 | 99.6389 | 99.5742 | 99.6368 | 99.5765 | 99.6117 | 99.5883 | 99.6370 |
\(U_{9} (d{'} = d + \delta )\) | 99.5865 | 99.6287 | 99.6067 | 99.6139 | 99.6067 | 99.6097 | 99.6287 | 99.6282 |
\(U_{10} (e{'} = e + \delta )\) | 99.5935 | 99.6061 | 99.5992 | 99.5941 | 99.6091 | 99.5973 | 99.6012 | 99.6089 |
\(U_{11} (f{'} = f + \delta )\) | 99.6072 | 99.6089 | 99.6287 | 99.5715 | 99.6187 | 99.6289 | 99.6267 | 99.5975 |
\(U_{12} (g{'} = g + \delta )\) | 99.6223 | 99.6078 | 99.6286 | 99.6189 | 99.6379 | 99.5956 | 99.6498 | 99.5905 |
\(U_{13} (h{'} = h + \delta )\) | 99.6389 | 99.6028 | 99.6312 | 99.6238 | 99.5778 | 99.6288 | 99.5876 | 99.6378 |
\(U_{14} (t{'} = t + \delta )\) | 99.5821 | 99.6238 | 99.6234 | 99.6139 | 99.6308 | 99.5955 | 99.6490 | 99.5928 |
\(U_{15} (\eta {'} = \eta + \delta )\) | 99.6309 | 99.6078 | 99.6372 | 99.6267 | 99.5718 | 99.6259 | 99.6063 | 99.6379 |
\(U_{16} (x_{0}{'} = x_{0} - \delta )\) | 99.5844 | 99.6269 | 99.5867 | 99.6042 | 99.5842 | 99.6278 | 99.5876 | 99.6362 |
\(U_{17} (y_{0}{'} = y_{0} - \delta )\) | 99.5905 | 99.6175 | 99.6089 | 99.6385 | 99.6258 | 99.5975 | 99.6281 | 99.6087 |
\(U_{18} (z_{0}{'} = z_{0} - \delta )\) | 99.6306 | 99.5938 | 99.6359 | 99.6078 | 99.6141 | 99.5945 | 99.6498 | 99.6070 |
\(U_{19} (w_{0}{'} = w_{0} - \delta )\) | 99.6291 | 99.6278 | 99.6052 | 99.6388 | 99.5981 | 99.6378 | 99.6287 | 99.6309 |
\(U_{20} (v_{0}{'} = v_{0} - \delta )\) | 99.6249 | 99.5867 | 99.6309 | 99.5985 | 99.6278 | 99.6167 | 99.6176 | 99.6076 |
\(U_{21} (a{'} = a - \delta )\) | 99.6387 | 99.6087 | 99.6198 | 99.6276 | 99.6288 | 99.5902 | 99.6309 | 99.6298 |
\(U_{22} (b{'} = b - \delta )\) | 99.6389 | 99.5989 | 99.6362 | 99.5897 | 99.6379 | 99.5765 | 99.6217 | 99.5871 |
\(U_{23} (c{'} = c - \delta )\) | 99.6021 | 99.5765 | 99.6162 | 99.6278 | 99.6082 | 99.6098 | 99.6208 | 99.6287 |
\(U_{24} (d{'} = d - \delta )\) | 99.6167 | 99.5984 | 99.6276 | 99.6178 | 99.5965 | 99.5821 | 99.6140 | 99.6019 |
\(U_{25} (e{'} = e - \delta )\) | 99.6131 | 99.6149 | 99.6176 | 99.6029 | 99.5999 | 99.6312 | 99.6098 | 99.6179 |
\(U_{26} (f{'} = f - \delta )\) | 99.6046 | 99.6053 | 99.6251 | 99.6009 | 99.6287 | 99.5875 | 99.6238 | 99.6175 |
\(U_{27} (g{'} = g - \delta )\) | 99.6361 | 99.6089 | 99.6398 | 99.6178 | 99.6078 | 99.6276 | 99.6209 | 99.6156 |
\(U_{28} (h{'} = h - \delta )\) | 99.6359 | 99.5947 | 99.6139 | 99.6084 | 99.6157 | 99.6047 | 99.6040 | 99.6209 |
\(U_{29} (t{'} = t - \delta )\) | 99.6120 | 99.6187 | 99.6167 | 99.6276 | 99.6098 | 99.6258 | 99.6207 | 99.6279 |
\(U_{30} (\eta {'} = \eta - \delta )\) | 99.6080 | 99.6326 | 99.6202 | 99.6173 | 99.5887 | 99.5978 | 99.5861 | 99.6270 |
Average | 99.61 | 99.61 | 99.61 | 99.61 | 99.61 | 99.61 | 99.61 | 99.61 |
Average of all | 99.61 | – | – | – | – | – | – | – |
