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

Table 5

Comparison of the cryptographic properties of some of the newly generated S-boxes with some of the existing S-boxes.

S-boxes	Linear Attacks			DAP	Analysis of Boolean Functions
	LAP	NL	AC		SAC(max)	SAC(min)	BIC(max)	BIC(min)
Ref. [20]	0.1406	104	255	0.0391	0.6250	0.3906	0.5313	0.4707
Ref. [21]	0.1484	106	254	0.0391	0.5781	0.4375	0.5352	0.4648
Ref. [22]	0.1484	106	255	0.0391	0.6406	0.4063	0.5371	0.4707
Ref. [26]	0.1328	103	255	0.0391	0.5703	0.3984	0.5352	0.4727
Ref. [27]	0.1484	102	254	0.0391	0.6094	0.3750	0.5215	0.4707
Ref. [28]	0.1406	106	251	0.0391	0.5938	0.4375	0.5313	0.4648
Ref. [29]	0.109	104	255	0.0469	0.5930	0.3900	0.499	0.454
Ref. [30]	0.062	112	9	0.0156	0.5620	0.4530	0.504	0.48
Ref. [31]	0.2109	74	253	0.0547	0.6875	0.1094	0.5508	0.4023
Ref. [32]	0.1328	100	255	0.0547	0.6094	0.4219	0.5313	0.4746
Ref. [33]	0.1328	100	255	0.0391	0.5936	0.4219	0.5371	0.4688
Ref. [34]	0.125	110	255	0.0391	05625	0.4375	0.5547	0.4727
	0.1875	106	253	0.0391	0.6094	0.4063	0.5273	0.4648
	0.1484	106	255	0.0391	0.5625	0.4218	0.5195	0.4648
	0.1328	106	255	0.0391	0.5781	0.3906	0.5352	0.4648
	0.1328	106	255	0.0391	0.6406	0.4062	0.5213	0.4727
	0.1328	106	254	0.0391	0.5938	0.4375	0.5352	0.4766
	0.1328	106	254	0.0391	0.5938	0.4063	0.5352	0.4727