Scientific Reports

Table 19 Exemplar simulation for Structure 1 in Fig. 1a: 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	33.378	33.502	33.427	33.487	33.428	33.368	33.427	33.487	33.476	33.395	33.451	33.473	33.454	33.498	33.452
Flowers	33.514	33.456	33.465	33.461	33.462	33.519	33.469	33.518	33.406	33.461	33.552	33.519	33.383	33.424	33.529
Peppers	33.440	33.455	33.478	33.506	33.540	33.499	33.410	33.454	33.351	33.450	33.421	33.432	33.444	33.421	33.500
Goldhill	33.449	33.475	33.422	33.460	33.439	33.473	33.437	33.512	33.468	33.420	33.435	33.452	33.499	33.440	33.470
Black	33.492			33.457			33.446			33.532			33.511
Boats	33.443			33.485			33.510			33.480			33.460
Clock	33.580			33.568			33.447			33.474			33.360
White	33.490			33.401			33.525			33.505			33.468
Average	33.467 (Pass)			33.472 (Pass)			33.459 (Pass)			33.466 (Pass)			33.457 (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	33.485	33.417	33.565	33.533	33.441	33.486	33.526	33.505	33.466	33.395	33.477	33.537	33.466	33.353	33.495
Flowers	33.419	33.503	33.422	33.531	33.471	33.470	33.458	33.539	33.435	33.474	33.491	33.509	33.428	33.606	33.337
Peppers	33.467	33.354	33.532	33.431	33.513	33.420	33.415	33.499	33.459	33.464	33.529	33.489	33.541	33.430	33.424
Goldhill	33.492	33.448	33.422	33.467	33.507	33.532	33.495	33.448	33.453	33.459	33.436	33.466	33.450	33.487	33.424
Black	33.493			33.477			33.463			33.451			33.441
Boats	33.490			33.494			33.483			33.489			33.465
Clock	33.643			33.481			33.398			33.564			33.425
White	33.476			33.454			33.438			33.446			33.469
Average	33.477 (Pass)			33.482 (Pass)			33.468 (Pass)			33.480 (Pass)			33.453 (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	33.443	33.405	33.436	33.426	33.391	33.423	33.515	33.496	33.520	33.519	33.483	33.371	33.411	33.475	33.512
Flowers	33.462	33.555	33.549	33.460	33.421	33.405	33.503	33.488	33.467	33.445	33.475	33.531	33.476	33.531	33.429
Peppers	33.495	33.531	33.488	33.387	33.549	33.455	33.448	33.511	33.520	33.459	33.470	33.467	33.433	33.424	33.445
Goldhill	33.469	33.463	33.445	33.453	33.448	33.392	33.497	33.512	33.444	33.489	33.504	33.450	33.420	33.437	33.449
Black	33.461			33.492			33.464			33.489			33.465
Boats	33.458			33.396			33.449			33.472			33.465
Clock	33.515			33.541			33.386			33.385			33.519
White	33.484			33.485			33.468			33.449			33.449
Average	33.479 (Pass)			33.445 (Pass)			33.481 (Pass)			33.466 (Pass)			33.459 (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	33.520	33.447	33.503	33.472	33.469	33.395	33.428	33.500	33.526	33.484	33.541	33.491	33.430	33.395	33.450
Flowers	33.429	33.483	33.398	33.396	33.450	33.453	33.456	33.415	33.544	33.583	33.418	33.517	33.411	33.405	33.288
Peppers	33.469	33.499	33.440	33.459	33.438	33.487	33.518	33.379	33.500	33.400	33.529	33.449	33.488	33.411	33.445
Goldhill	33.517	33.447	33.444	33.455	33.476	33.489	33.423	33.452	33.406	33.420	33.476	33.451	33.414	33.461	33.440
Black	33.516			33.490			33.441			33.485			33.532
Boats	33.454			33.390			33.505			33.530			33.457
Clock	33.532			33.471			33.494			33.548			33.258
White	33.496			33.492			33.416			33.451			33.532
Average	33.475 (Pass)			33.455 (Pass)			33.463 (Pass)			33.486 (Pass)			33.426 (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	33.466	33.523	33.434	33.520	33.432	33.502	33.528	33.487	33.525	33.458	33.445	33.446	33.498	33.473	33.435
Flowers	33.450	33.456	33.519	33.409	33.457	33.484	33.462	33.487	33.525	33.478	33.388	33.551	33.441	33.579	33.440
Peppers	33.489	33.470	33.366	33.439	33.433	33.412	33.435	33.420	33.449	33.513	33.499	33.417	33.458	33.537	33.540
Goldhill	33.527	33.423	33.525	33.469	33.419	33.474	33.501	33.483	33.474	33.422	33.478	33.442	33.478	33.453	33.512
Black	33.426			33.551			33.431			33.446			33.526
Boats	33.497			33.449			33.436			33.465			33.446
Clock	33.501			33.633			33.383			33.573			33.471
White	33.494			33.492			33.518			33.496			33.521
Average	33.447 (Pass)			33.448 (Pass)			33.483 (Pass)			33.466 (Pass)			33.460 (Pass)

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