Table 6.

UACI test for cryptogram of Lena image $512\times 512\times 3$ pixels using n processes with Tinkerbell map [73] and comparison versus other related work.

Cryptogram Size		Critical UACI Values [88]
$512\times 512\times 3$		${\mathit{U}}_{\mathbf{0.05}}^{-}$ = 33.3730%, ${\mathit{U}}_{\mathbf{0.05}}^{+}$ = 33.5541%,	${\mathit{U}}_{\mathbf{0}.\mathbf{01}}^{-}$ = 33.3445%, ${\mathit{U}}_{\mathbf{0.01}}^{+}$ = 33.5826%,	${\mathit{U}}_{\mathbf{0}.\mathbf{001}}^{-}$ = 33.3115%, ${\mathit{U}}_{\mathbf{0.001}}^{+}$ = 33.6156%,
n Process	Average UACI (%)	UACI Test Result
FIAD cluster, CPU 1.2 GHz
1	$33.4318$	Passed	Passed	Passed
2	$33.4113$	Passed	Passed	Passed
4	$33.4262$	Passed	Passed	Passed
8	$33.4206$	Passed	Passed	Passed
16	$33.4452$	Passed	Passed	Passed
32	$33.4431$	Passed	Passed	Passed
64	$33.4814$	Passed	Passed	Passed
128	$33.4140$	Passed	Passed	Passed
CPU (2.7) GHz
1	$33.4317$	Passed	Passed	Passed
2	$33.4112$	Passed	Passed	Passed
4	$33.4262$	Passed	Passed	Passed
8	$33.4205$	Passed	Passed	Passed
16	$33.4452$	Passed	Passed	Passed
32	$33.4431$	Passed	Passed	Passed
64	$33.4814$	Passed	Passed	Passed
128	$33.4139$	Passed	Passed	Passed
Related work
Logistic 1D [25]	33.3600%	Failed	Passed	Passed
PELM [36]	33.3014%	Failed	Failed	Failed
Multi-modal [34]	34.8353%	Failed	Failed	Failed
Tent map [32]	33.2800%	Failed	Failed	Failed
Novel 3D [4]	33.4500%	Passed	Passed	Passed
Chen [11]	33.6236%	Failed	Failed	Failed
5D Hyperchaotic [77]	33.4573%	Passed	Passed	Passed
Logistic 1D [59]	33.4500%	Passed	Passed	Passed