Table 4 The correspondences of input–output differentials for S-Box of FeW

\((\alpha ,\beta )\)

(1, 3)

(1, 7)

(1, A)

(1, C)

(1, D)

(1, E)

(1, F)

(2, 3)

(2, 5)

(2, A)

(2, B)

(2, C)

(2, D)

X

6, 7

C, D

2, 3

0, 1

4, 5

A, B, E, F

8, 9

C, E

4, 6

D, F

1, 3, 5, 7

9, B

0, 2, 8, A

\((\alpha ,\beta )\)

(3, 1)

(3, 2)

(3, 3)

(3, 4)

(3, 6)

(3, 8)

(3, D)

(4, 3)

(4, 5)

(4, 6)

(4, B)

(4, E)

(4, F)

X

1, 2

9, A

8, B

D, E

4, 7

5, 6

C, F

9, D

A, E, B, F

2, 6

8, C

0, 4

1, 3, 5, 7

\((\alpha ,\beta )\)

(5, 2)

(5, 3)

(5, 4)

(5, 5)

(5, B)

(5, C)

(6, 3)

(6, 4)

(6, 6)

(6, 8)

(6, 9)

(6, B)

(6, C)

X

1, 4

0, 5

9, C

2, 7

A, B, E, F

3, 6, 8, D

2, 4

3, 5, 7, 8

A, C

1, E

9, F

0, 6

B, D

\((\alpha ,\beta )\)

(7, 1)

(7, 6)

(7, 7)

(7, 8)

(7, 9)

(7, E)

(8, 6)

(8, 7

(8, 9)

(8, A)

(8, C)

(8, D)

(9, 1)

X

A, D

8, F

1, 6, 9, E

0, 7, B, C

3, 4

2, 5

5, D

7, F

0, 2, 8, A

1, 6, 9, E

4, C

3, B

5, C

\((\alpha ,\beta )\)

(9, 3)

(9, 4)

(9, 5)

(9, 6)

(9, 7)

(9, 9)

(9, B)

(A, 1)

(A, 4)

(A, 6)

(A, 9)

(A, C)

(A, D)

X

3, A

6, F

1, 8

0, 9

2, B

7, E

4, D

3, 9

0, 2, 8, A

1, B

6, C

5, F

7, D

\((\alpha ,\beta )\)

(A, F)

(B, 1)

(B, 2)

(B, 8)

(B, A)

(B, B)

(B, E)

(C, 2)

(C, 5)

(C, 7)

(C, 8)

(C, 9)

(C, C)

X

4, E

4, F

5, E

1, A

0, 7, B, C

2, 9

3, 6, 8, D

0, 7, B, C

5, 9

4, 8

3, F

1, D

2, E

\((\alpha ,\beta )\)

(C, F)

(D, 1)

(D, 2)

(D, 5)

(D, 6)

(D, 8)

(D, A)

(D, C)

(D, E)

(E, 1)

(E, 2)

(E, 3)

(E, 9)

X

6, A

6, B

2, F

0, D

3, E

4, 9

5, 8

7, A

1, C

0, E

3, D, 6, 8

1, F

5, B

\((\alpha ,\beta )\)

(E, A)

(E, E)

(E, F)

(F, 1)

(F, 4)

(F, 7)

(F, 8)

(F, D)

(F, F)

(3, 7)

–

X

4, A

7, 9

2, C

7, 8

4, B

5, A

2, D

1, 6, 9, E

0, F

0, 3