MinT - Information on Result #1184112

Information on Result #1184112

Digital (135, 150, 1198371)-net over F₃, using net defined by OOA based on linear OOA(3¹⁵⁰, 1198371, F₃, 15, 15) (dual of [(1198371, 15), 17975415, 16]-NRT-code), using

OOA 7-folding and stacking with additional row [i] based on linear OA(3¹⁵⁰, 8388598, F₃, 15) (dual of [8388598, 8388448, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, large, F₃, 15) (dual of [large, large−150, 16]-code), using
  - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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 (136, 151, 1198371)-net over F₃	[i]	Net Duplication
2	Digital (137, 152, 1198371)-net over F₃	[i]
3	Digital (138, 153, 1198371)-net over F₃	[i]
4	Digital (139, 154, 1198371)-net over F₃	[i]
5	Digital (140, 155, 1198371)-net over F₃	[i]
6	Digital (141, 156, 1198371)-net over F₃	[i]
7	Digital (142, 157, 1198375)-net over F₃	[i]	(u,Â u+v)-Construction for Nets
8	Digital (143, 158, 1198378)-net over F₃	[i]
9	Digital (144, 159, 1198380)-net over F₃	[i]
10	Digital (145, 160, 1198382)-net over F₃	[i]
11	Digital (146, 161, 1198386)-net over F₃	[i]
12	Digital (147, 162, 1198391)-net over F₃	[i]
13	Digital (148, 163, 1198397)-net over F₃	[i]
14	Digital (149, 164, 1198405)-net over F₃	[i]
15	Digital (152, 167, 1198411)-net over F₃	[i]
16	Digital (153, 168, 1198417)-net over F₃	[i]
17	Digital (154, 169, 1198425)-net over F₃	[i]
18	Digital (155, 170, 1198439)-net over F₃	[i]
19	Digital (156, 171, 1198455)-net over F₃	[i]
20	Digital (159, 174, 1198485)-net over F₃	[i]
21	Digital (160, 175, 1198614)-net over F₃	[i]
22	Digital (161, 176, 1198616)-net over F₃	[i]
23	Digital (162, 177, 1198618)-net over F₃	[i]
24	Digital (163, 178, 1198735)-net over F₃	[i]
25	Digital (164, 179, 1199100)-net over F₃	[i]
26	Digital (165, 180, 1199102)-net over F₃	[i]
27	Digital (166, 181, 1199103)-net over F₃	[i]
28	Digital (167, 182, 1199104)-net over F₃	[i]
29	Digital (168, 183, 1200558)-net over F₃	[i]
30	Digital (184, 199, 1375518)-net over F₃	[i]
31	Digital (185, 200, 1375522)-net over F₃	[i]
32	Digital (187, 202, 1375523)-net over F₃	[i]
33	Digital (188, 203, 1729812)-net over F₃	[i]
34	Digital (189, 204, 1729816)-net over F₃	[i]
35	Digital (190, 205, 1729817)-net over F₃	[i]
36	Digital (192, 207, 2396742)-net over F₃	[i]
37	Digital (197, 212, 2396746)-net over F₃	[i]	Generalized (u,Â u+v)-Construction for Nets