Chaotic S-Box: Intertwining Logistic Map and Bacterial Foraging Optimization

Table 6

Cryptanalysis comparison results of S-boxes.

S-boxes	Nonlinearity			SAC			BIC-nonlinearity	BIC-SAC	DP	LP
	Min	Max	Avg.	Min	Max	Avg.
Proposed	106	110	107.5	0.3750	0.6094	0.5093	103.07	0.5025	0.0390	0.1406
Ref. [6]	100	108	103.250	0.3750	0.5938	0.5059	104.29	0.5031	0.0468	0.1250
Ref. [7]	103	109	104.875	0.3984	0.5703	0.4966	102.96	0.5044	0.0390	0.1328
Ref. [8]	101	108	103.875	0.3906	0.5781	0.5059	102.68	0.4958	0.0390	0.1328
Ref. [9]	100	106	103	0.4219	0.6094	0.5000	103.14	0.5024	0.0546	0.1328
Ref. [25]	102	106	104	0.3750	0.6094	0.4980	103.29	0.4971	0.0390	0.1484
Ref. [26]	96	108	103.500	0.3906	0.5859	0.4939	103.64	0.4992	0.0390	0.1523
Ref. [27]	100	106	103.250	0.4219	0.5938	0.5049	103.71	0.5010	0.0390	0.1328
Ref. [28]	96	106	103	0.3906	0.6250	0.5039	100.36	0.5010	0.0390	0.1484
Ref. [29]	102	108	104.750	0.3906	0.5938	0.5056	104.07	0.5022	0.0468	0.1250
Ref. [30]	98	108	103	0.4063	0.5938	0.5012	104.07	0.4989	0.0468	0.1484
Ref. [31]	98	108	104.25	0.2813	0.6094	0.4954	102.86	0.5048	0.0468	0.1406
Ref. [32]	103	109	105.125	0.4141	0.6094	0.5061	103.68	0.4983	0.0390	0.1562
Ref. [33]	102	108	105.250	0.4063	0.5781	0.5059	104.29	0.5029	0.0468	0.1250
Ref. [34]	100	108	104.5	0.4219	0.6094	0.4978	103.64	0.5010	0.0468	0.1406
Ref. [35]	100	106	104	0.3750	0.6250	0.4946	103.21	0.5019	0.0390	0.1328
Ref. [36]	98	108	105	0.4219	0.5781	0.4917	106.07	0.4997	0.1250	0.1171
Ref. [37]	104	110	106.25	0.4219	0.5938	0.5039	103.36	0.5059	0.0390	0.1406
Ref. [38]	101	107	104.5	0.4219	0.5781	0.4963	103.29	0.4938	0.0390	0.1406
Ref. [39]	100	110	105.50	0.4063	0.6094	0.5010	103.79	0.5036	0.0468	0.1328
Ref. [40]	104	110	106.5	0.4375	0.6406	0.5120	104.57	0.5042	0.0390	0.1328
Ref. [41]	104	108	106.25	0.3906	0.5625	0.4949	103.64	0.5007	0.0390	0.1406