Scientific Reports

Table 20 Exemplar simulation for Structure 2 in Fig. 1b: Sensitivity of secret key by UACI.

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	33.375	33.499	33.403	33.513	33.421	33.462	33.549	33.462	33.426	33.391	33.476	33.471	33.422	33.364	33.465
Flowers	33.432	33.414	33.429	33.483	33.447	33.495	33.475	33.578	33.567	33.459	33.535	33.415	33.369	33.431	33.440
Peppers	33.419	33.420	33.511	33.547	33.509	33.455	33.389	33.531	33.460	33.477	33.466	33.507	33.478	33.445	33.446
Goldhill	33.432	33.470	33.445	33.436	33.455	33.453	33.432	33.444	33.471	33.463	33.424	33.498	33.454	33.495	33.495
Black	33.510			33.416			33.531			33.535			33.492
Boats	33.442			33.504			33.451			33.480			33.409
Clock	33.572			33.403			33.456			33.513			33.497
White	33.490			33.396			33.441			33.511			33.513
Average	33.454 (Pass)			33.462 (Pass)			33.479 (Pass)			33.476 (Pass)			33.451 (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	33.420	33.398	33.506	33.502	33.445	33.379	33.566	33.486	33.497	33.416	33.438	33.554	33.489	33.536	33.472
Flowers	33.500	33.466	33.451	33.472	33.515	33.421	33.418	33.445	33.435	33.485	33.520	33.496	33.436	33.455	33.479
Peppers	33.413	33.357	33.466	33.460	33.423	33.519	33.406	33.398	33.429	33.457	33.429	33.492	33.489	33.527	33.440
Goldhill	33.461	33.442	33.435	33.468	33.363	33.499	33.464	33.406	33.492	33.495	33.466	33.429	33.380	33.460	33.500
Black	33.545			33.503			33.541			33.474			33.521
Boats	33.417			33.486			33.456			33.436			33.419
Clock	33.418			33.328			33.418			33.281			33.537
White	33.496			33.444			33.481			33.458			33.437
Average	33.449 (Pass)			33.452 (Pass)			33.459 (Pass)			33.458 (Pass)			33.474 (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	33.455	33.417	33.542	33.451	33.407	33.397	33.431	33.423	33.399	33.501	33.520	33.486	33.412	33.492	33.447
Flowers	33.398	33.522	33.477	33.501	33.491	33.475	33.513	33.402	33.525	33.451	33.387	33.398	33.446	33.481	33.469
Peppers	33.424	33.460	33.489	33.406	33.418	33.492	33.466	33.543	33.432	33.551	33.428	33.564	33.460	33.470	33.463
Goldhill	33.471	33.450	33.490	33.452	33.443	33.406	33.467	33.436	33.448	33.479	33.435	33.413	33.483	33.485	33.517
Black	33.460			33.469			33.484			33.510			33.409
Boats	33.446			33.461			33.451			33.472			33.505
Clock	33.570			33.325			33.557			33.473			33.364
White	33.425			33.438			33.530			33.503			33.450
Average	33.469 (Pass)			33.440 (Pass)			33.469 (Pass)			33.473 (Pass)			33.460 (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	33.521	33.452	33.544	33.473	33.478	33.452	33.518	33.519	33.416	33.527	33.499	33.463	33.491	33.498	33.395
Flowers	33.468	33.430	33.471	33.483	33.528	33.482	33.421	33.434	33.533	33.491	33.437	33.475	33.439	33.388	33.569
Peppers	33.499	33.439	33.459	33.432	33.547	33.555	33.429	33.443	33.394	33.401	33.425	33.433	33.321	33.468	33.412
Goldhill	33.448	33.523	33.439	33.474	33.494	33.429	33.499	33.413	33.469	33.440	33.478	33.406	33.487	33.473	33.497
Black	33.452			33.479			33.520			33.485			33.519
Boats	33.481			33.449			33.500			33.406			33.399
Clock	33.502			33.628			33.463			33.514			33.451
White	33.458			33.500			33.517			33.516			33.520
Average	33.470 (Pass)			33.474 (Pass)			33.453 (Pass)			33.477 (Pass)			33.490 (Pass)

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