Security and Communication Networks

Research Article

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

Table 1

Representation of the elements of .


Binary values	Binary values	Binary values	Binary values

000000000	000000001	000000010	000000100
000001000	000010000	000100000	001000000
010000000	100000000	000010001	000100010
001000100	010001000	100010000	000110001
001100010	011000100	110001000	100000001
000010011	000100110	001001100	010011000
100110000	001110001	011100010	111000100
110011001	100100011	001010111	010101110
101011100	010101001	101010010	010110101
101101010	011000101	110001010	100000101
000011011	000110110	001101100	011011000
110110000	101110001	011110011	111100110
111011101	110101011	101000111	010011111
100111110	001101101	011011010	110110100
101111001	011100011	111000110	110011101
100101011	001000111	010001110	100011100
000101001	001010010	010100100	101001000
010000001	100000010	000010101	000101010
001010100	010101000	101010000	010110001
101100010	011010101	110101010	101000101
010011011	100110110	001111101	011111010
111110100	111111001	111100011	111010111
110111111	101101111	011001111	110011110
100101101	001001011	010010110	100101100
001001001	010010010	100100100	001011001
010110010	101100100	011011001	110110010
101110101	011111011	111110110	111111101
111101011	111000111	110011111	100101111
001001111	010011110	100111100	001101001
011010010	110100100	101011001	010100011
101000110	010011101	100111010	001100101
011001010	110010100	100111001	001100011
011000110	110001100	100001001	000000011
000000110	000001100	000011000	000110000
001100000	011000000	110000000	100010001
000110011	001100110	011001100	110011000
100100001	001010011	010100110	101001100
010001001	100010010	000110101	001101010
011010100	110101000	101000001	010010011
100100110	001011101	010111010	101110100
011111001	111110010	111110101	111111011
111100111	111011111	110101111	101001111
010001111	100011110	000101101	001011010
010110100	101101000	011000001	110000010
100010101	000111011	001110110	011101100
111011000	110100001	101010011	010110111
101101110	011001101	110011010	100100101
001011011	010110110	101101100	011001001
110010010	100110101	001111011	011110110
111101100	111001001	110000011	100010111
000111111	001111110	011111100	111111000
111100001	111010011	110110111	101111111
011101111	111011110	110101101	101001011
010000111	100001110	000001101	000011010
000110100	001101000	011010000	110100000
101010001	010110011	101100110	011011101
110111010	101100101	011011011	110110110
101111101	011101011	111010110	110111101
101101011	011000111	110001110	100001101
000001011	000010110	000101100	001011000
010110000	101100000	011010001	110100010
101010101	010111011	101110110	011111101
111111010	111100101	111011011	110100111
101011111	010101111	101011110	010101101
101011010	010100101	101001010	010000101
100001010	000000101	000001010	000010100
000101000	001010000	010100000	101000000
010010001	100100010	001010101	010101010
101010100	010111001	101110010	011110101
111101010	111000101	110011011	100100111
001011111	010111110	101111100	011101001
111010010	110110101	101111011	011100111
111001110	110001101	100001011	000000111
000001110	000011100	000111000	001110000
011100000	111000000	110010001	100110011
001110111	011101110	111011100	110101001
101000011	010010111	100101110	001001101
010011010	100110100	001111001	011110010
111100100	111011001	110100011	101010111
010111111	101111110	011101101	111011010
110100101	101011011	010100111	101001110
010001101	100011010	000100101	001001010
010010100	100101000	001000001	010000010
100000100	000011001	000110010	001100100
011001000	110010000	100110001	001110011
011100110	111001100	110001001	100000011
000010111	000101110	001011100	010111000
101110000	011110001	111100010	111010101
110111011	101100111	011011111	110111110
101101101	011001011	110010110	100111101
001101011	011010110	110101100	101001001
010000011	100000110	000011101	000111010
001110100	011101000	111010000	110110001
101110011	011110111	111101110	111001101
110001011	100000111	000011111	000111110
001111100	011111000	111110000	111110001
111110011	111110111	111111111	111101111
111001111	110001111	100001111	000001111
000011110	000111100	001111000	011110000
111100000	111010001	110110011	101110111
011111111	111111110	111101101	111001011
110000111	100011111	000101111	001011110
010111100	101111000	011100001	111000010
110010101	100111011	001100111	011001110
110011100	100101001	001000011	010000110
100001100	000001001	000010010	000100100
001001000	010010000	100100000	001010001
010100010	101000100	010011001	100110010
001110101	011101010	111010100	110111001
101100011	011010111	110101110	101001101
010001011	100010110	000111101	001111010
011110100	111101000	111000001	110010011
100110111	001111111	011111110	111111100
111101001	111000011	110010111	100111111
001101111	011011110	110111100	101101001
011000011	110000110	100011101	000101011
001010110	010101100	101011000	010100001
101000010	010010101	100101010	001000101
010001010	100010100	000111001	001110010
011100100	111001000	110000001	100010011
000110111	001101110	011011100	110111000
101100001	011010011	110100110	101011101
010101011	101010110	010111101	101111010
011100101	111001010	110000101	100011011
000100111	001001110	010011100	100111000
001100001	011000010	110000100	100011001
000100011	001000110	010001100	100011000
000100001	001000010	010000100	100001000