MinT - Information on Result #1192040

Information on Result #1192040

Digital (113, 130, 2097150)-net over F₈, using net defined by OOA based on linear OOA(8¹³⁰, 2097150, F₈, 18, 17) (dual of [(2097150, 18), 37748570, 18]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(8¹³⁰, 8388601, F₈, 2, 17) (dual of [(8388601, 2), 16777072, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹³⁰, 8388602, F₈, 2, 17) (dual of [(8388602, 2), 16777074, 18]-NRT-code), using
  - trace code [i] based on linear OOA(64⁶⁵, 4194301, F₆₄, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(64⁶⁵, 8388602, F₆₄, 17) (dual of [8388602, 8388537, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(64⁶⁵, large, F₆₄, 17) (dual of [large, large−65, 18]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (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 (114, 131, 2097150)-net over F₈	[i]	Net Duplication
2	Digital (115, 132, 2097150)-net over F₈	[i]
3	Digital (116, 133, 2097150)-net over F₈	[i]
4	Digital (117, 134, 2097150)-net over F₈	[i]
5	Digital (118, 135, 2097150)-net over F₈	[i]
6	Digital (119, 136, 2097150)-net over F₈	[i]
7	Digital (120, 137, 2097150)-net over F₈	[i]
8	Digital (113, 129, 2097150)-net over F₈	[i]	m-Reduction
9	Digital (121, 138, 2097159)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
10	Digital (122, 139, 2097164)-net over F₈	[i]
11	Digital (123, 140, 2097167)-net over F₈	[i]
12	Digital (124, 141, 2097174)-net over F₈	[i]
13	Digital (125, 142, 2097175)-net over F₈	[i]
14	Digital (126, 143, 2097178)-net over F₈	[i]
15	Digital (128, 145, 2097215)-net over F₈	[i]
16	Digital (129, 146, 2097280)-net over F₈	[i]
17	Digital (131, 148, 2097310)-net over F₈	[i]
18	Digital (135, 152, 2097358)-net over F₈	[i]
19	Digital (137, 154, 2097410)-net over F₈	[i]
20	Digital (139, 156, 2097440)-net over F₈	[i]
21	Digital (141, 158, 2098173)-net over F₈	[i]
22	Digital (142, 159, 2098175)-net over F₈	[i]
23	Digital (143, 160, 2099199)-net over F₈	[i]
24	Digital (145, 162, 2099200)-net over F₈	[i]
25	Digital (147, 164, 2099208)-net over F₈	[i]
26	Digital (148, 165, 2105341)-net over F₈	[i]
27	Digital (149, 166, 2105343)-net over F₈	[i]
28	Digital (150, 167, 2105345)-net over F₈	[i]
29	Digital (152, 169, 2105350)-net over F₈	[i]
30	Digital (153, 170, 2105355)-net over F₈	[i]
31	Digital (154, 171, 2105369)-net over F₈	[i]
32	Digital (155, 172, 2162685)-net over F₈	[i]
33	Digital (156, 173, 2162687)-net over F₈	[i]
34	Digital (140, 157, 2097483)-net over F₈	[i]
35	(133, 150, 2097408)-net in base 8	[i]
36	(137, 154, 2097666)-net in base 8	[i]
37	(139, 156, 2097673)-net in base 8	[i]
38	(140, 157, 2097678)-net in base 8	[i]
39	(152, 169, 2113535)-net in base 8	[i]
40	(153, 170, 2129919)-net in base 8	[i]