A Novel Construction of Substitution Box Involving Coset Diagram and a Bijective Map

Table 6

Nonlinearity of basic functions of various substitution boxes.

S-box									Ave
Gray [13]	112	112	112	112	112	112	112	112	112
Gautam et al. [14]	108	106	104	98	102	102	98	74	99
Prime [15]	94	100	104	104	102	100	98	94	99.5
S8 AES [16]	112	112	112	112	112	112	112	112	112
Shi et al. [17]	106	104	106	106	104	106	104	106	105
AES [2]	112	112	112	112	112	112	112	112	112
Skipjac and Kea [18]	104	108	108	108	108	104	104	106	106.75
Alkhaldi et al. [19]	108	104	106	106	102	98	104	108	104
Chen et al. [20]	100	102	103	104	106	106	106	108	104.3
Tang et al. [21]	100	103	104	104	105	105	106	109	104.5
Khan et al. [22]	102	108	106	102	106	106	106	98	104.25
Belazi et al. [23]	106	106	106	104	108	102	106	104	105.25
Proposed	108	106	108	108	108	104	106	106	106.75