An Injective S-Box Design Scheme over an Ordered Isomorphic Elliptic Curve and Its Characterization

Table 7

Comparison of the average number of the fixed points over all distinct S-boxes for some primes.

		257	263	269	281	293
Avg. # fixed points by the proposed method and ordering		0.9929	0.9979	1.0061	0.9976	0.9912
		1.0554	1.0828	1.0643	1.0687	1.0782
		1.0001	0.9991	1.0018	0.9998	0.9970
Avg. # fixed points by [22]		0.9766	1.0611	0.9291	1.1107	1.2089