MinT - Information on Result #1180510

Information on Result #1180510

Digital (126, 139, 1398100)-net over F₂, using net defined by OOA based on linear OOA(2¹³⁹, 1398100, F₂, 13, 13) (dual of [(1398100, 13), 18175161, 14]-NRT-code), using

OOA 6-folding and stacking with additional row [i] based on linear OA(2¹³⁹, 8388601, F₂, 13) (dual of [8388601, 8388462, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2¹³⁹, large, F₂, 13) (dual of [large, large−139, 14]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 8388609Â | 2⁴⁶âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

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		Method
1	Digital (127, 139, 1398100)-net over F₂	[i]	t-Expansion
2	Digital (127, 140, 1398100)-net over F₂	[i]	Net Duplication
3	Digital (128, 141, 1398100)-net over F₂	[i]
4	Digital (129, 142, 1398100)-net over F₂	[i]
5	Digital (130, 143, 1398100)-net over F₂	[i]
6	Digital (131, 144, 1398100)-net over F₂	[i]
7	Digital (132, 145, 1398103)-net over F₂	[i]	(u,Â u+v)-Construction for Nets
8	Digital (133, 146, 1398105)-net over F₂	[i]
9	Digital (134, 147, 1398106)-net over F₂	[i]
10	Digital (135, 148, 1398109)-net over F₂	[i]
11	Digital (136, 149, 1398111)-net over F₂	[i]
12	Digital (137, 150, 1398115)-net over F₂	[i]
13	Digital (138, 151, 1398121)-net over F₂	[i]
14	Digital (139, 152, 1398123)-net over F₂	[i]
15	Digital (140, 153, 1398126)-net over F₂	[i]
16	Digital (141, 154, 1398136)-net over F₂	[i]
17	Digital (142, 155, 1398142)-net over F₂	[i]
18	Digital (143, 156, 1398148)-net over F₂	[i]
19	Digital (144, 157, 1398164)-net over F₂	[i]
20	Digital (145, 158, 1398172)-net over F₂	[i]
21	Digital (146, 159, 1398179)-net over F₂	[i]
22	Digital (147, 160, 1398227)-net over F₂	[i]
23	Digital (150, 163, 1398230)-net over F₂	[i]
24	Digital (151, 164, 1398354)-net over F₂	[i]
25	Digital (154, 167, 1398610)-net over F₂	[i]
26	Digital (157, 170, 1399122)-net over F₂	[i]
27	Digital (160, 173, 1400147)-net over F₂	[i]
28	Digital (163, 176, 1402194)-net over F₂	[i]
29	Digital (166, 179, 1406291)-net over F₂	[i]
30	Digital (169, 182, 1414482)-net over F₂	[i]
31	Digital (172, 185, 1430866)-net over F₂	[i]
32	Digital (175, 188, 1463634)-net over F₂	[i]
33	Digital (178, 191, 1529171)-net over F₂	[i]
34	Digital (181, 194, 1660242)-net over F₂	[i]
35	Digital (184, 197, 1922387)-net over F₂	[i]
36	Digital (187, 200, 2446674)-net over F₂	[i]
37	Digital (190, 203, 2796200)-net over F₂	[i]