MinT - Information on Result #1193710

Information on Result #1193710

Digital (85, 98, 2796200)-net over F₉, using net defined by OOA based on linear OOA(9⁹⁸, 2796200, F₉, 14, 13) (dual of [(2796200, 14), 39146702, 14]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(9⁹⁸, 8388601, F₉, 2, 13) (dual of [(8388601, 2), 16777104, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9⁹⁸, 8388602, F₉, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code), using
  - trace code [i] based on linear OOA(81⁴⁹, 4194301, F₈₁, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(81⁴⁹, 8388602, F₈₁, 13) (dual of [8388602, 8388553, 14]-code), using
      - discarding factors / shortening the dual code based on linear OA(81⁴⁹, large, F₈₁, 13) (dual of [large, large−49, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’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 (86, 99, 2796200)-net over F₉	[i]	Net Duplication
2	Digital (87, 100, 2796200)-net over F₉	[i]	Net Duplication
3	Digital (183, 196, 5592400)-net over F₃	[i]	Trace Code for Nets
4	Digital (91, 104, 2796210)-net over F₉	[i]	(u,Â u+v)-Construction for Nets
5	Digital (92, 105, 2796216)-net over F₉	[i]
6	Digital (93, 106, 2796220)-net over F₉	[i]
7	Digital (94, 107, 2796228)-net over F₉	[i]
8	Digital (95, 108, 2796245)-net over F₉	[i]
9	Digital (96, 109, 2796282)-net over F₉	[i]
10	Digital (97, 110, 2796364)-net over F₉	[i]
11	Digital (99, 112, 2796400)-net over F₉	[i]
12	Digital (101, 114, 2796446)-net over F₉	[i]
13	Digital (102, 115, 2796528)-net over F₉	[i]
14	Digital (104, 117, 2796600)-net over F₉	[i]
15	Digital (105, 118, 2796618)-net over F₉	[i]
16	Digital (106, 119, 2798388)-net over F₉	[i]
17	Digital (107, 120, 2800575)-net over F₉	[i]
18	Digital (109, 122, 2800577)-net over F₉	[i]
19	Digital (110, 123, 2800585)-net over F₉	[i]
20	Digital (111, 124, 2815884)-net over F₉	[i]
21	Digital (112, 125, 2815887)-net over F₉	[i]
22	Digital (114, 127, 2815894)-net over F₉	[i]
23	Digital (115, 128, 2815966)-net over F₉	[i]
24	Digital (116, 129, 2973349)-net over F₉	[i]
25	Digital (117, 130, 3150496)-net over F₉	[i]
26	Digital (119, 132, 3150499)-net over F₉	[i]
27	Digital (120, 133, 3150506)-net over F₉	[i]
28	Digital (121, 134, 4390525)-net over F₉	[i]
29	Digital (122, 135, 4390528)-net over F₉	[i]
30	Digital (124, 137, 4390535)-net over F₉	[i]
31	Digital (125, 138, 4390607)-net over F₉	[i]
32	Digital (126, 139, 5592400)-net over F₉	[i]
33	Digital (105, 118, 2796619)-net over F₉	[i]
34	(109, 122, 2802762)-net in base 9	[i]
35	(124, 137, 5592400)-net in base 9	[i]
36	Digital (136, 149, 5592492)-net over F₉	[i]	Generalized (u,Â u+v)-Construction for Nets
37	Digital (137, 150, 5592564)-net over F₉	[i]
38	Digital (137, 150, 5592574)-net over F₉	[i]
39	Digital (130, 143, 5592410)-net over F₉	[i]
40	Digital (131, 144, 5592416)-net over F₉	[i]
41	Digital (132, 145, 5592436)-net over F₉	[i]
42	Digital (133, 146, 5592482)-net over F₉	[i]
43	Digital (134, 147, 5592564)-net over F₉	[i]
44	Digital (136, 149, 5592767)-net over F₉	[i]
45	Digital (137, 150, 5595640)-net over F₉	[i]