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Table A-1

An instance of the initialisation numbers for generating Sobol’s LDS, up to a dimension of 32 (Jäckel, 2002).

k g k v kl for l = 1,…,10
1 0 1 1.231 1.230 1.229 1.228 1.227 1.226 1.225 1.224 1.223 1.222
2 1 11 1.231 3.230 5.229 15.228 17.227 51.226 85.225 255.224 257.223 771.222
3 2 111 1.231 1.230 7.229 11.228 13.227 61.226 67.225 79.224 465.223 721.222
4 3 1011 1.231 3.230 7.229 5.228 7.227 43.226 49.225 147.224 439.223 1013.222
5 3 1101 1.231 1.230 5.229 3.228 15.227 51.226 125.225 141.224 177.223 759.222
6 4 10011 1.231 3.230 1.229 1.228 9.227 59.226 25.225 89.224 321.223 835.222
7 4 11001 1.231 1.230 3.229 7.228 31.227 47.226 109.225 173.224 181.223 949.222
8 5 100101 1.231 3.230 3.229 9.228 9.227 57.226 43.225 43.224 225.223 113.222
9 5 101001 1.231 3.230 7.229 7.228 21.227 61.226 55.225 19.224 59.223 761.222
10 5 101111 1.231 1.230 5.229 11.228 27.227 53.226 69.225 25.224 103.223 615.222
11 5 110111 1.231 1.230 7.229 3.228 29.227 51.226 47.225 97.224 233.223 39.222
12 5 111011 1.231 3.230 7.229 13.228 3.227 35.226 89.225 9.224 235.223 929.222
13 5 111101 1.231 3.230 5.229 1.228 15.227 19.226 113.225 115.224 411.223 157.222
14 6 1000011 1.231 1.230 1.229 9.228 23.227 37.226 97.225 97.224 353.223 169.222
15 6 1011011 1.231 1.230 3.229 13.228 11.227 7.226 37.225 101.224 463.223 657.222
16 6 1100001 1.231 3.230 3.229 5.228 19.227 33.226 3.225 197.224 329.223 983.222
17 6 1100111 1.231 1.230 7.229 13.228 25.227 5.226 27.225 71.224 377.223 719.222
18 6 1101101 1.231 1.230 1.229 3.228 13.227 39.226 7.225 23.224 391.223 389.222
19 6 1110011 1.231 3.230 5.229 11.228 7.227 11.226 43.225 25.224 187.223 825.222
20 7 10000011 1.231 3.230 1.229 7.228 3.227 23.226 79.225 65.224 451.223 321.222
21 7 10001001 1.231 3.230 1.229 15.228 17.227 63.226 13.225 113.224 147.223 881.222
22 7 10001111 1.231 3.230 3.229 3.228 25.227 17.226 115.225 17.224 179.223 883.222
23 7 10010001 1.231 3.230 7.229 9.228 31.227 29.226 17.225 121.224 363.223 783.222
24 7 10011101 1.231 1.230 3.229 15.228 29.227 15.226 41.225 249.224 201.223 923.222
25 7 10100111 1.231 3.230 1.229 9.228 5.227 21.226 119.225 53.224 319.223 693.222
26 7 10101011 1.231 1.230 5.229 5.228 1.227 27.226 33.225 253.224 341.223 385.222
27 7 10111001 1.231 1.230 3.229 1.228 23.227 13.226 75.225 29.224 181.223 895.222
28 7 10111111 1.231 1.230 7.229 7.228 19.227 25.226 105.225 173.224 509.223 75.222
29 7 11000001 1.231 3.230 5.229 5.228 21.227 9.226 7.225 143.224 157.223 959.222
30 7 11001011 1.231 1.230 1.229 15.228 5.227 49.226 59.225 71.224 31.223 111.222
31 7 11010011 1.231 3.230 5.229 15.228 17.227 19.226 21.225 227.224 413.223 727.222
32 7 11010101 1.231 1.230 6.229 11.228 13.227 29.226 3.225 15.224 279.223 17.222

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