Mathematical Problems in Engineering

Research Article

More Low Differential Uniformity Permutations over with Odd

Table 3

CCZ-inequivalent differential 6-uniformity permutations in Theorem 3 over with .
No.NLExtend Walsh spectrumDifferential spectrum
120{0 [803], 4 [1246], 8 [1014], 12 [738], 16 [189], 20 [32], 24 [10]}{0 [2239], 2 [1578], 4 [207], 6 [8]}
218{0 [795], 4 [1234], 8 [1040], 12 [738], 16 [181], 20 [40], 24 [0], 28 [4]}{0 [2239], 2 [1578], 4 [207], 6 [8]}
320{0 [795], 4 [1258], 8 [1014], 12 [728], 16 [197], 20 [30], 24 [10]}{0 [2239], 2 [1578], 4 [207], 6 [8]}
420{0 [765], 4 [1302], 8 [1042], 12 [666], 16 [203], 20 [48], 24 [6]}{0 [2259], 2 [1542], 4 [219], 6 [12]}
520{0 [801], 4 [1246], 8 [1026], 12 [726], 16 [183], 20 [44], 24 [6]}{0 [2243], 2 [1566], 4 [219], 6 [4]}
620{0 [817], 4 [1278], 8 [976], 12 [702], 16 [215], 20 [36], 24 [8]}{0 [2263], 2 [1530], 4 [231], 6 [8]}
718{0 [801], 4 [1268], 8 [1012], 12 [704], 16 [199], 20 [42], 24 [4], 28 [2]}{0 [2263], 2 [1530], 4 [231], 6 [8]}
818{0 [805], 4 [1278], 8 [992], 12 [708], 16 [211], 20 [26], 24 [8], 28 [4]}{0 [2279], 2 [1506], 4 [231], 6 [16]}
918{0 [813], 4 [1258], 8 [1000], 12 [714], 16 [203], 20 [40], 24 [0], 28 [4]}{0 [2263], 2 [1530], 4 [231], 6 [8]}
1018{0 [773], 4 [1268], 8 [1038], 12 [720], 16 [195], 20 [26], 24 [10], 28 [2]}{0 [2257], 2 [1536], 4 [237], 6 [2]}
1118{0 [797], 4 [1264], 8 [1010], 12 [718], 16 [203], 20 [32], 24 [6], 28 [2]}{0 [2257], 2 [1536], 4 [237], 6 [2]}
1218{0 [815], 4 [1256], 8 [998], 12 [726], 16 [193], 20 [32], 24 [10], 28 [2]}{0 [2273], 2 [1512], 4 [237], 6 [10]}
1320{0 [791], 4 [1274], 8 [1016], 12 [704], 16 [210], 20 [38], 24 [8]}{0 [2249], 2 [1560], 4 [213], 6 [10]}
1420{0 [825], 4 [1246], 8 [980], 12 [734], 16 [207], 20 [36], 24 [4]}{0 [2233], 2 [1584], 4 [213], 6 [2]}
1520{0 [795], 4 [1238], 8 [1018], 12 [750], 16 [197], 20 [28], 24 [6]}{0 [2209], 2 [1632], 4 [189], 6 [2]}
1620{0 [771], 4 [1270], 8 [1022], 12 [718], 16 [221], 20 [28], 24 [2]}{0 [2159], 2 [1662], 4 [171], 6 [4]}
1720{0 [817], 4 [1270], 8 [990], 12 [706], 16 [199], 20 [40], 24 [10]}{0 [2277], 2 [1500], 4 [249], 6 [6]}
1820{0 [779], 4 [1258], 8 [1036], 12 [720], 16 [197], 20 [38], 24 [4]}{0 [2215], 2 [1626], 4 [183], 6 [8]}
1920{0 [813], 4 [1254], 8 [1006], 12 [722], 16 [187], 20 [40], 24 [10]}{0 [2267], 2 [1518], 4 [243], 6 [4]}
2020{0 [783], 4 [1274], 8 [1020], 12 [704], 16 [209], 20 [38], 24 [4]}{0 [2229], 2 [1596], 4 [201], 6 [6]}