MinT - Information on Result #1179030

Information on Result #1179030

Digital (1, 4, 65)-net over F₈, using net defined by OOA based on linear OOA(8⁴, 65, F₈, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using

appending kth column [i] based on linear OOA(8⁴, 65, F₈, 2, 3) (dual of [(65, 2), 126, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(8⁴, 65, F₈, 3) (dual of [65, 61, 4]-code or 65-cap in PG(3,8)), using
  - ovoid in PG(3,Â 8) [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 (10, 16, 195)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (24, 30, 10989)-net over F₈	[i]
3	Digital (34, 40, 699118)-net over F₈	[i]
4	Digital (40, 46, 5592467)-net over F₈	[i]
5	Digital (11, 18, 195)-net over F₈	[i]
6	Digital (28, 35, 10989)-net over F₈	[i]
7	Digital (35, 42, 174829)-net over F₈	[i]
8	(14, 20, 579)-net in base 8	[i]
9	Digital (17, 24, 520)-net over F₈	[i]	Generalized (u,Â u+v)-Construction for Nets
10	Digital (116, 127, 6711205)-net over F₈	[i]
11	Digital (109, 119, 6711205)-net over F₈	[i]
12	Digital (153, 167, 4793549)-net over F₈	[i]
13	Digital (154, 168, 4793623)-net over F₈	[i]
14	Digital (158, 172, 4795574)-net over F₈	[i]
15	Digital (159, 173, 4795630)-net over F₈	[i]
16	Digital (159, 173, 4797590)-net over F₈	[i]
17	Digital (151, 164, 5723549)-net over F₈	[i]
18	Digital (152, 165, 5723605)-net over F₈	[i]
19	Digital (152, 165, 5854621)-net over F₈	[i]
20	Digital (144, 156, 5723549)-net over F₈	[i]
21	Digital (145, 157, 5723605)-net over F₈	[i]
22	Digital (145, 157, 5854621)-net over F₈	[i]
23	Digital (112, 123, 6710963)-net over F₈	[i]
24	Digital (113, 124, 6711019)-net over F₈	[i]
25	Digital (105, 115, 6710963)-net over F₈	[i]
26	Digital (106, 116, 6711019)-net over F₈	[i]
27	Digital (151, 165, 4793540)-net over F₈	[i]
28	Digital (152, 166, 4793614)-net over F₈	[i]
29	Digital (153, 167, 4793679)-net over F₈	[i]
30	Digital (155, 169, 4793807)-net over F₈	[i]
31	Digital (156, 170, 4795565)-net over F₈	[i]
32	Digital (157, 171, 4797581)-net over F₈	[i]
33	Digital (137, 150, 5592530)-net over F₈	[i]
34	Digital (138, 151, 5592595)-net over F₈	[i]
35	Digital (141, 154, 5594481)-net over F₈	[i]
36	Digital (142, 155, 5596497)-net over F₈	[i]
37	Digital (146, 159, 5608851)-net over F₈	[i]
38	Digital (149, 162, 5723540)-net over F₈	[i]
39	Digital (150, 163, 5854612)-net over F₈	[i]
40	Digital (152, 165, 6641044)-net over F₈	[i]
41	Digital (130, 142, 5592530)-net over F₈	[i]
42	Digital (131, 143, 5592595)-net over F₈	[i]
43	Digital (134, 146, 5594481)-net over F₈	[i]
44	Digital (135, 147, 5596497)-net over F₈	[i]
45	Digital (139, 151, 5608851)-net over F₈	[i]
46	Digital (142, 154, 5723540)-net over F₈	[i]
47	Digital (143, 155, 5854612)-net over F₈	[i]
48	Digital (145, 157, 6641044)-net over F₈	[i]
49	Digital (110, 121, 6710954)-net over F₈	[i]
50	Digital (111, 122, 6711010)-net over F₈	[i]
51	Digital (103, 113, 6710954)-net over F₈	[i]
52	Digital (104, 114, 6711010)-net over F₈	[i]
53	Digital (108, 119, 6710945)-net over F₈	[i]
54	Digital (101, 111, 6710945)-net over F₈	[i]