Information on Result #1181180
Digital (168, 184, 1048575)-net over F2, using net defined by OOA based on linear OOA(2184, 1048575, F2, 16, 16) (dual of [(1048575, 16), 16777016, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(2184, 8388600, F2, 16) (dual of [8388600, 8388416, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Digital (176, 192, 1048578)-net over F2 | [i] | (u, u+v)-Construction for Nets | |
2 | Digital (177, 193, 1048580)-net over F2 | [i] | ||
3 | Digital (178, 194, 1048581)-net over F2 | [i] | ||
4 | Digital (179, 195, 1048582)-net over F2 | [i] | ||
5 | Digital (180, 196, 1048584)-net over F2 | [i] | ||
6 | Digital (181, 197, 1048586)-net over F2 | [i] | ||
7 | Digital (182, 198, 1048590)-net over F2 | [i] | ||
8 | Digital (183, 199, 1048591)-net over F2 | [i] | ||
9 | Digital (184, 200, 1048594)-net over F2 | [i] | ||
10 | Digital (185, 201, 1048597)-net over F2 | [i] | ||
11 | Digital (186, 202, 1048601)-net over F2 | [i] | ||
12 | Digital (187, 203, 1048605)-net over F2 | [i] | ||
13 | Digital (188, 204, 1048610)-net over F2 | [i] | ||
14 | Digital (189, 205, 1048614)-net over F2 | [i] | ||
15 | Digital (193, 209, 1048619)-net over F2 | [i] | ||
16 | Digital (194, 210, 1048624)-net over F2 | [i] | ||
17 | Digital (195, 211, 1048625)-net over F2 | [i] | ||
18 | Digital (196, 212, 1048628)-net over F2 | [i] | ||
19 | Digital (197, 213, 1048635)-net over F2 | [i] | ||
20 | Digital (198, 214, 1048642)-net over F2 | [i] | ||
21 | Digital (199, 215, 1048646)-net over F2 | [i] | ||
22 | Digital (200, 216, 1048653)-net over F2 | [i] | ||
23 | Digital (204, 220, 1048703)-net over F2 | [i] | ||
24 | Digital (205, 221, 1048705)-net over F2 | [i] | ||
25 | Digital (206, 222, 1048707)-net over F2 | [i] | ||
26 | Digital (207, 223, 1048708)-net over F2 | [i] | ||
27 | Digital (208, 224, 1048831)-net over F2 | [i] | ||
28 | Digital (209, 225, 1048833)-net over F2 | [i] | ||
29 | Digital (210, 226, 1048836)-net over F2 | [i] | ||
30 | Digital (212, 228, 1049087)-net over F2 | [i] | ||
31 | Digital (213, 229, 1049090)-net over F2 | [i] | ||
32 | Digital (216, 232, 1049599)-net over F2 | [i] | ||
33 | Digital (217, 233, 1049602)-net over F2 | [i] | ||
34 | Digital (220, 236, 1050623)-net over F2 | [i] | ||
35 | Digital (221, 237, 1050626)-net over F2 | [i] | ||
36 | Digital (223, 239, 1050627)-net over F2 | [i] | ||
37 | Digital (224, 240, 1052671)-net over F2 | [i] | ||
38 | Digital (225, 241, 1052674)-net over F2 | [i] | ||
39 | Digital (226, 242, 1052675)-net over F2 | [i] | ||
40 | Digital (228, 244, 1056767)-net over F2 | [i] | ||
41 | Digital (229, 245, 1056771)-net over F2 | [i] | ||
42 | Digital (232, 248, 1064959)-net over F2 | [i] | ||
43 | Digital (233, 249, 1064963)-net over F2 | [i] | ||
44 | Digital (236, 252, 1081343)-net over F2 | [i] | ||
45 | Digital (237, 253, 1081347)-net over F2 | [i] | ||
46 | Digital (239, 255, 1081348)-net over F2 | [i] | ||
47 | Digital (240, 256, 1114111)-net over F2 | [i] | ||
48 | Digital (241, 257, 1114115)-net over F2 | [i] | ||
49 | Digital (242, 258, 1114116)-net over F2 | [i] | ||
50 | Digital (244, 260, 1179647)-net over F2 | [i] |