Improved 2D Discrete Hyperchaos Mapping with Complex Behaviour and Algebraic Structure for Strong S-Boxes Generation

Table 7

Performance comparison of proposed S-box with recent S-box methods.

Method	Nonlinearity			SAC	BIC-NL	DU	LAP
	Min	Max	Average
Proposed	108	112	110.5	0.5046	109.14	8	0.1094
Ref. [13]	104	110	106	0.5039	103.38	10	0.1406
Ref. [17]	102	108	105	0.5029	102.9	12	0.1484
Ref. [19]	106	108	106.5	0.4990	103.57	10	0.1250
Ref. [20]	104	108	106.5	0.5037	102.85	10	0.1406
Ref. [25]	102	108	105.25	0.5037	102.6	10	0.1328
Ref. [56]	102	108	105.25	0.4907	102.35	10	0.1328
Ref. [57]	106	108	107	0.4972	103.5	10	0.1563
Ref. [58]	106	108	106.5	0.5046	104.14	10	0.1328
Ref. [59]	103	109	105.1	0.5061	103.6	10	0.1563
Ref. [60]	106	108	106.7	0.4957	103.5	10	0.1250
Ref. [61]	100	110	105.5	0.5	103.78	12	0.1250
Ref. [62]	100	108	105	0.5007	104.14	10	0.1328
Ref. [63]	96	104	100.5	0.4973	102.78	10	0.15625
Ref. [64]	104	108	106.75	0.5031	103.64	12	0.1484
Ref. [58]	106	108	106.5	0.5046	104.14	10	0.1328
Ref. [65]	96	108	102.25	0.5059	103.5	12	0.1250
Ref. [66]	104	110	106	0.4978	103.92	12	0.1563
Ref. [67]	108	110	108.75	0.4946	102.78	10	0.1328
AES	112	112	112	0.5058	112	4	0.0625
APA	112	112	112	0.4987	112	4	0.0625
Gray [68]	112	112	112	0.5058	112	4	0.0625
Prime [68]	94	104	99.5	0.5164	101.71	72	0.1328
Skipjack [68]	104	108	105.25	0.5026	104.14	12	0.1172
Xyi [68]	104	106	105	0.5023	103.78	12	0.1563